Cross-sections of large-angle hadron production in proton- and pion-nucleus interactions VI: carbon nuclei and beam momenta from \pm 3 GeV/c to \pm 15 GeV/c
HARP-CDP Collaboration, A. Bolshakova, I. Boyko, G. Chelkov, D. Dedovitch, A. Elagin, D. Emelyanov, M. Gostkin, A. Guskov, Z. Kroumchtein, Y. Nefedov, K. Nikolaev, A. Zhemchugov, F. Dydak, J. Wotschack, A. De Min, V. Ammosov, V. Gapienko, V. Koreshev, A. Semak, Y. Sviridov, E. Usenko, V. Zaets
EEUROPEAN ORGANIZATION FOR NUCLEAR RESEARCHCERN–PH–EP–2010–02613 July 2010
CROSS-SECTIONS OF LARGE-ANGLE HADRON PRODUCTIONIN PROTON– AND PION–NUCLEUS INTERACTIONS VI:CARBON NUCLEI AND BEAM MOMENTA FROM ± GeV/ c TO ± GeV/ c Abstract
We report on double-differential inclusive cross-sections of the production of secondaryprotons, charged pions, and deuterons, in the interactions with a 5% λ int thick stationarycarbon target, of proton and pion beams with momentum from ± GeV/ c to ± GeV/ c .Results are given for secondary particles with production angles ◦ < θ < ◦ . Cross-sections on carbon nuclei are compared with cross-sections on beryllium, copper, tantalumand lead nuclei. The HARP–CDP groupA. Bolshakova , I. Boyko , G. Chelkov a , D. Dedovitch , A. Elagin b , D. Emelyanov ,M. Gostkin , A. Guskov , Z. Kroumchtein , Yu. Nefedov , K. Nikolaev , A. Zhemchugov ,F. Dydak , J. Wotschack ∗ , A. De Min c , V. Ammosov † , V. Gapienko , V. Koreshev ,A. Semak , Yu. Sviridov , E. Usenko d , V. Zaets This publication is dedicated to the memory of our colleague V. Ammosov Joint Institute for Nuclear Research, Dubna, Russia CERN, Geneva, Switzerland Politecnico di Milano and INFN, Sezione di Milano-Bicocca, Milan, Italy Institute of High Energy Physics, Protvino, Russia (To be submitted to Eur. Phys. J. C) a Also at the Moscow Institute of Physics and Technology, Moscow, Russia b Now at Texas A&M University, College Station, USA c On leave of absence at Ecole Polytechnique F´ed´erale, Lausanne, Switzerland d Now at Institute for Nuclear Research RAS, Moscow, Russia † Deceased on 11 January 2010 ∗ Corresponding author; e-mail: [email protected] a r X i v : . [ h e p - e x ] J u l I NTRODUCTION
The HARP experiment arose from the realization that the inclusive differential cross-sections ofhadron production in the interactions of few GeV/ c protons with nuclei were known only withina factor of two to three, while more precise cross-sections are in demand for several reasons.These are the optimization of the design parameters of the proton driver of a neutrino factory(see Ref. [1] and further references cited therein), but also to the understanding of the under-lying physics and the modelling of Monte Carlo generators of hadron–nucleus collisions, fluxpredictions for conventional neutrino beams, and more precise calculations of the atmosphericneutrino flux.The HARP experiment was designed to carry out a programme of systematic and precise(i.e., at the few per cent level) measurements of hadron production by protons and pions withmomenta from 1.5 to 15 GeV/ c , on a variety of target nuclei. It took data at the CERN ProtonSynchrotron in 2001 and 2002.The HARP detector combined a forward spectrometer with a large-angle spectrometer. Thelatter comprised a cylindrical Time Projection Chamber (TPC) around the target and an arrayof Resistive Plate Chambers (RPCs) that surrounded the TPC. The purpose of the TPC wastrack reconstruction and particle identification by d E/ d x . The purpose of the RPCs was tocomplement the particle identification by time of flight.This is the sixth of a series of cross-section papers with results from the HARP experiment.In the first paper [2] we described the detector characteristics and our analysis algorithms, onthe example of +8 . GeV/ c and − . GeV/ c beams impinging on a 5% λ int Be target. Thesecond paper [3] presented results for all beam momenta from this Be target. The third [4],fourth [5], and fifth [6] papers presented results from the interactions with 5% λ int tantalum,copper, and lead targets. In this paper, we report on the large-angle production (polar angle θ in the range ◦ < θ < ◦ ) of secondary protons and charged pions, and of deuterons, inthe interactions with a 5% λ int carbon target of protons and pions with beam momenta of ± . , ± . , ± . , ± . , and ± . GeV/ c .Our work involves only the HARP large-angle spectrometer. HE BEAMS AND THE
HARP
SPECTROMETER
The protons and pions were delivered by the T9 beam line in the East Hall of CERN’s Pro-ton Synchrotron. This beam line supports beam momenta between 1.5 and 15 GeV/ c , with amomentum bite ∆ p/p ∼ %.The beam instrumentation, the definition of the beam particle trajectory, the cuts to select‘good’ beam particles, and the muon and electron contaminations of the particle beams, are thesame as described, e.g., in Ref. [2].The target was a disc made of high-purity (99.99%) carbon, with a radius of 15.13 mm and athickness of 18.95 mm (5% λ int ). The target weight had been measured to be 25.656 g, leadingto an average target density of 1.88 g/cm , 17% lower than the data book value of 2.27 g/cm .We used the measured value of 1.88 g/cm for the cross-section normalization.The finite thickness of the target leads to a small attenuation of the number of incident beamparticles. The attenuation factor is f att = 0 . .Our calibration work on the HARP TPC and RPCs is described in detail in Refs. [7] and [8],and in references cited therein.The momentum resolution σ (1 /p T ) of the HARP–TPC is typically 0.2 (GeV/ c ) − and wors-ens towards small relative particle velocity β and small polar angle θ . The absolute momentum2cale is determined to be correct to better than 2%, both for positively and negatively chargedparticles.The polar angle θ is measured in the TPC with a resolution of ∼ θ = 60 ◦ . To this a multiple scattering error has to be added which is on the average ∼ p T = 500 MeV/ c in the TPC gas and θ = 60 ◦ , and ∼ d E/ d x with a resolution of 16% for a track length of 300 mm.The intrinsic efficiency of the RPCs that surround the TPC is better than 98%.The intrinsic time resolution of the RPCs is 127 ps and the system time-of-flight resolution(that includes the jitter of the arrival time of the beam particle at the target) is 175 ps.To separate measured particles into species, we assign on the basis of d E/ d x and β toeach particle a probability of being a proton, a pion (muon), or an electron, respectively. Theprobabilities add up to unity, so that the number of particles is conserved. These probabilitiesare used for weighting when entering tracks into plots or tables.A general discussion of the systematic errors can be found, e.g., in Ref. [2]. For the datafrom the − , − and +5 GeV/ c beams, the systematic error arising from the parametrizationof proton and pion abundances in the respective Monte Carlo simulations was doubled. Allsystematic errors are propagated into the momentum spectra of secondaries and then addedin quadrature. They add up to a systematic uncertainty of our inclusive cross-sections at thefew-per-cent level, mainly from errors in the normalization, in the momentum measurement, inparticle identification, and in the corrections applied to the data. ONTE C ARLO SIMULATION
We used the Geant4 tool kit [9] for the simulation of the HARP large-angle spectrometer.Geant4’s QGSP BIC physics list provided us with reasonably realistic spectra of secon-daries from incoming beam protons with momentum below 12 GeV/ c . For the secondariesfrom beam protons at 12 and 15 GeV/ c momentum, and from beam pions at all momenta, wefound the standard physics lists of Geant4 unsuitable [10].To overcome this problem, we built our own HARP CDP physics list. It starts from Geant4’sstandard QBBC physics list, but the Quark–Gluon String Model is replaced by the FRITIOFstring fragmentation model for kinetic energy E > GeV; for
E < GeV, the Bertini Cas-cade is used for pions, and the Binary Cascade for protons; elastic and quasi-elastic scatteringis disabled. Examples of the good performance of the HARP CDP physics list are given inRef. [10].
ROSS - SECTION RESULTS
In Tables A.1–A.45, collated in the Appendix of this paper, we give the double-differential in-clusive cross-sections d σ/ d p dΩ for various combinations of incoming beam particle and sec-ondary particle, including statistical and systematic errors. In each bin, the average momentumat the vertex and the average polar angle are also given.The data of Tables A.1–A.45 are available in ASCII format in Ref. [11].Some bins in the tables are empty. Cross-sections are only given if the total error is notlarger than the cross-section itself. Since our track reconstruction algorithm is optimized fortracks with p T above ∼
70 MeV/ c in the TPC volume, we do not give cross-sections from trackswith p T below this value. Because of the absorption of slow protons in the material betweenthe vertex and the TPC gas, and with a view to keeping the correction for absorption lossesbelow 30%, cross-sections from protons are limited to p > MeV/ c at the interaction vertex.3roton cross-sections are also not given if a 10% error on the proton energy loss in materialsbetween the interaction vertex and the TPC volume leads to a momentum change larger than2%. Pion cross-sections are not given if pions are separated from protons by less than twice thetime-of-flight resolution.The large errors and/or absence of results from the +15 GeV/ c pion beam are caused byscarce statistics because the beam composition was dominated by protons.We present in Figs. 1 to 7 what we consider salient features of our cross-sections.Figure 1 shows the inclusive cross-sections of the production of protons, π + ’s, and π − ’s,from incoming protons between 3 GeV/ c and 15 GeV/ c momentum, as a function of theircharge-signed p T . The data refer to the polar-angle range ◦ < θ < ◦ . Figures 2 and 3 showthe same for incoming π + ’s and π − ’s.Figure 4 shows inclusive Lorentz-invariant cross-sections of the production of protons, π + ’sand π − ’s, by incoming protons between 3 GeV/ c and 15 GeV/ c momentum, in the rapidity range . < y < . , as a function of the charge-signed reduced transverse particle mass, m T − m ,where m is the rest mass of the respective particle. Figures 5 and 6 show the same for incoming π + ’s and π − ’s. We note the good representation of particle production by an exponential falloffwith increasing reduced transverse mass.In Fig. 7, we present the inclusive cross-sections of the production of secondary π + ’s and π − ’s, integrated over the momentum range . < p < . GeV/ c and the polar-angle range ◦ < θ < ◦ in the forward hemisphere, as a function of the beam momentum.4 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +3.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +5.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +8.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +12.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +15.0 GeV/c20 o < Θ < o π p Fig. 1: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by protons oncarbon nuclei, in the polar-angle range ◦ < θ < ◦ , for different proton beam momenta, as a functionof the charge-signed p T of the secondaries; the shown errors are total errors. Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +3.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +5.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +8.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +12.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +15.0 GeV/c20 o < Θ < o π p Fig. 2: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by π + ’s oncarbon nuclei, in the polar-angle range ◦ < θ < ◦ , for different π + beam momenta, as a function ofthe charge-signed p T of the secondaries; the shown errors are total errors. Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -3.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -5.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -8.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -12.0 GeV/c20 o < Θ < o π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 1020406080100120140160 Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -15.0 GeV/c20 o < Θ < o π p Fig. 3: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by π − ’s oncarbon nuclei, in the polar-angle range ◦ < θ < ◦ , for different π − beam momenta, as a function ofthe charge-signed p T of the secondaries; the shown errors are total errors. Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +3.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +5.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +8.9 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +12.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP p + C → (p, π + , π - ) + X +15.0 GeV/c0.6 < y < π p Fig. 4: Inclusive Lorentz-invariant cross-sections of the production of protons, π + ’s and π − ’s, by in-coming protons between 3 GeV/ c and 15 GeV/ c momentum, in the rapidity range . < y < . , as afunction of the charge-signed reduced transverse particle mass, m T − m , where m is the rest mass ofthe respective particle; the shown errors are total errors. Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +3.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +5.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +8.9 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +12.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π + + C → (p, π + , π - ) + X +15.0 GeV/c0.6 < y < π p Fig. 5: Inclusive Lorentz-invariant cross-sections of the production of protons, π + ’s and π − ’s, by incom-ing π + ’s between 3 GeV/ c and 15 GeV/ c momentum, in the rapidity range . < y < . , as a functionof the charge-signed reduced transverse pion mass, m T − m , where m is the rest mass of the respectiveparticle; the shown errors are total errors. Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -3.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -5.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -8.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -12.0 GeV/c0.6 < y < π p -1 -0.8 -0.6 -0.4 -0.2 -0 0.2 0.4 0.6 0.8 111010 Charge-signed m T -m (GeV/c) ( / π m T ) d σ / d y d m T ( m b / G e V / c ) HARP-CDP π - + C → (p, π + , π - ) + X -15.0 GeV/c0.6 < y < π p Fig. 6: Inclusive Lorentz-invariant cross-sections of the production of protons, π + ’s and π − ’s, by incom-ing π − ’s between 3 GeV/ c and 15 GeV/ c momentum, in the rapidity range . < y < . , as a functionof the charge-signed reduced transverse pion mass, m T − m , where m is the rest mass of the respectiveparticle; the shown errors are total errors. Beam momentum (GeV/c) σ ( m b ) HARP-CDP p + C → π + + X < p < o < Θ < o Beam momentum (GeV/c) σ ( m b ) HARP-CDP p + C → π - + X < p < o < Θ < o Beam momentum (GeV/c) σ ( m b ) HARP-CDP π + + C → π + + X < p < o < Θ < o Beam momentum (GeV/c) σ ( m b ) HARP-CDP π + + C → π - + X < p < o < Θ < o Beam momentum (GeV/c) σ ( m b ) HARP-CDP π - + C → π + + X < p < o < Θ < o Beam momentum (GeV/c) σ ( m b ) HARP-CDP π - + C → π - + X < p < o < Θ < o Fig. 7: Inclusive cross-sections of the production of secondary π + ’s and π − ’s, integrated over the mo-mentum range . < p < . GeV/ c and the polar-angle range ◦ < θ < ◦ , from the interactions oncarbon nuclei of protons (top row), π + ’s (middle row), and π − ’s (bottom row), as a function of the beammomentum; the shown errors are total errors and mostly smaller than the symbol size. C OMPARISON OF OUR RESULTS WITH RESULTS FROM THE
HARP C
OLLABORA - TION
Figure 8 shows the comparison of our cross-sections of π ± production by protons, π + ’s and π − ’s of 3.0 GeV/ c and 8.0 GeV/ c momentum, off carbon nuclei, with the ones published by theHARP Collaboration [13, 14], in the polar-angle range ◦ < θ < ◦ . The latter cross-sectionsare plotted as published, while we expressed our cross-sections in the unit used by the HARPCollaboration. The errors shown are the published total errors.The discrepancy between our results and those published by the HARP Collaboration isevident. It shows the same pattern as observed in inclusive cross-sections off other targets thatwe analyzed and compared to the results of the HARP Collaboration [2–6]. We hold that thediscrepancy is caused by problems in the HARP Collaboration’s data analysis, discussed indetail in Refs [15–19], and summarized in the Appendix of Ref. [2]. OMPARISON OF CHARGED - PION PRODUCTION ON BERYLLIUM , CARBON , COP - PER , TANTALUM AND LEAD
Figure 9 presents a comparison between the inclusive cross-sections of π + and π − production,integrated over the secondaries’ momentum range . < p < . GeV/ c and polar-angle range ◦ < θ < ◦ , in the interactions of protons, π + and π − , with beryllium (A = 9.01), carbon(A = 12.01), copper (A = 63.55), tantalum (A = 181.0), and lead (A = 207.2) nuclei . Thecomparison employs the scaling variable A / where A is the atomic number of the respec-tive nucleus. We note the approximately linear dependence on this scaling variable. At lowbeam momentum, the slope exhibits a strong dependence on beam particle type, which tends todisappear with higher beam momentum.Figure 10 compares the ‘forward multiplicity’ of secondary π + ’s and π − ’s in the interactionof protons and pions with beryllium, carbon, copper, tantalum, and lead target nuclei. Theforward multiplicities are averaged over the momentum range . < p < . GeV/ c and thepolar-angle range ◦ < θ < ◦ . They have been obtained by dividing the measured inclusivecross-section by the total cross-section inferred from the nuclear interaction lengths and pioninteraction lengths, respectively, as published by the Particle Data Group [12] and reproduced inTable 1. The errors of the forward multiplicities are dominated by a 3% systematic uncertainty. Table 1: Nuclear and pion interactions lengths used for the calculation of pion forward multiplicities.
Nucleus λ nuclint [g cm − ] λ pionint [g cm − ]Beryllium 77.8 109.9Carbon 85.8 117.8Copper 137.3 165.9Tantalum 191.0 217.7Lead 199.6 226.2The forward multiplicities display a ’leading particle effect’ that mirrors the incoming beamparticle. It is also interesting that the forward multiplicity decreases with the nuclear mass at The beryllium data with +8 . GeV/ c beam momentum [2, 3] have been scaled, by interpolation, to a beammomentum of +8 . GeV/ c . c threshold imposed in our analysis if there is more nuclear medium tobe traversed before escape. At high beam momentum, the secondary pions have high enoughmomentum such that tertiary pions from the re-interaction of secondary pions in the nuclearmedium tend to pass the 0.2 GeV/ c threshold.Figure 11 shows the increase of the inclusive cross-sections of π + ’s and π − ’s production byincoming protons of 8.0 GeV/ c (in the case of beryllium target nuclei: +8.9 GeV/ c ) from thelight beryllium nucleus to the heavy lead nucleus, for pions in the polar angle range ◦ < θ < ◦ . It is interesting to note that π − production is slightly favoured on heavy nuclei, while π + production is slightly favoured on light nuclei.Comparing the cross-sections for carbon and beryllium targets shown in Fig. 11 we note that π − production on carbon nuclei is nearly the same as on beryllium nuclei while the productionof π + ’s scales in approximate agreement with the A / law. A similar effect was observed manyyears ago in an experiment at JINR Dubna [20,21] with a 660 MeV/ c proton beam . The authorof Ref. [22] interprets the effect in terms of a model in which the beryllium nucleus consists oftwo alpha particles and a nearly free neutron, while the carbon nucleus consists of three alphaparticles. The inelastic cross-section on a free neutron is expected to be much higher than onthe neutrons which are tightly bound within the alpha particles. This explains the anomalouslylarge yield of negative pions on beryllium nuclei. An even stronger effect was observed with a 600 MeV/ c neutron beam [22]. Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) p + C → ( π + , π - ) + X +3.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab. -1.5 -1 -0.5 0 0.5 1 1.5050100150200250300350400450500550600
Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) p + C → ( π + , π - ) + X +8.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab. -1.5 -1 -0.5 0 0.5 1 1.5050100150200250300350400450500550600
Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) π + + C → ( π + , π - ) + X +3.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab. -1.5 -1 -0.5 0 0.5 1 1.5050100150200250300350400450500550600
Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) π + + C → ( π + , π - ) + X +8.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab. -1.5 -1 -0.5 0 0.5 1 1.5050100150200250300350400450500550600
Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) π - + C → ( π + , π - ) + X -3.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab. -1.5 -1 -0.5 0 0.5 1 1.5050100150200250300350400450500550600
Charge-signed p (GeV/c) d σ / dpd θ ( m b / r ad G e V / c ) π - + C → ( π + , π - ) + X -8.0 GeV/c20 o < Θ < o HARP-CDPHARP Collab.
Fig. 8: Comparison of HARP–CDP cross-sections (full circles) of π ± production by protons, π + ’s and π − ’s of 3.0 GeV/ c (left panels) and 8.0 GeV/ c momentum (right panels), off carbon nuclei, with thecross-sections published by the HARP Collaboration (open circles). A σ ( m b ) HARP-CDP
Secondary π + < p < o < Θ < o protons π + π - A σ ( m b ) HARP-CDP
Secondary π - < p < o < Θ < o protons π + π - A σ ( m b ) HARP-CDP
Secondary π + < p < o < Θ < o protons π + π - A σ ( m b ) HARP-CDP
Secondary π - < p < o < Θ < o protons π + π - A σ ( m b ) HARP-CDP
Secondary π +
15 GeV/c beam < p < o < Θ < o protons π - A σ ( m b ) HARP-CDP
Secondary π -
15 GeV/c beam < p < o < Θ < o protons π - Fig. 9: Inclusive cross-sections of π + and π − production by protons (open squares), π + ’s (open circles),and π − ’s (black circles), as a function of A / for, from left to right, beryllium, carbon, copper, tantalum,and lead nuclei; the cross-sections are integrated over the momentum range . < p < . GeV/ c andthe polar-angle range ◦ < θ < ◦ ; the shown errors are total errors and often smaller than the symbolsize. A M u l t i p li c i t y HARP-CDP
Secondary π + < p < o < Θ < o protons π + π - A M u l t i p li c i t y HARP-CDP
Secondary π - < p < o < Θ < o protons π + π - A M u l t i p li c i t y HARP-CDP
Secondary π + < p < o < Θ < o protons π + π - A M u l t i p li c i t y HARP-CDP
Secondary π - < p < o < Θ < o protons π + π - A M u l t i p li c i t y HARP-CDP
Secondary π +
15 GeV/c beam < p < o < Θ < o protons π - A M u l t i p li c i t y HARP-CDP
Secondary π -
15 GeV/c beam < p < o < Θ < o protons π - Fig. 10: Forward multiplicity of π + ’s and π − ’s produced by protons (open squares), π + ’s (open circles),and π − ’s (black circles), as a function of A / for, from left to right, beryllium, carbon, copper, tantalum,and lead nuclei; the forward multiplicity refers to the momentum range . < p < . GeV/ c and thepolar-angle range ◦ < θ < ◦ of secondary pions. Charge-signed p T (GeV/c) d σ / dpd Ω ( m b / s r G e V / c ) HARP-CDP p + A → ( π + , π - ) + X +8.0 (Be: +8.9) GeV/c20 o < Θ < o PbTaCuCBe
Fig. 11: Comparison of inclusive pion production cross-sections in the forward region between beryl-lium, carbon, copper, tantalum, and lead target nuclei, as a function of the pion momentum. D EUTERON PRODUCTION
Besides pions and protons, also deuterons are produced in sizeable quantities on carbon nuclei.Up to momenta of about 1 GeV/ c , deuterons are easily separated from protons by d E/ d x .Table 2 gives the deuteron-to-proton production ratio as a function of the momentum at thevertex, for 8 GeV/ c beam protons, π + ’s, and π − ’s . Cross-section ratios are not given if thedata are scarce and the statistical error becomes comparable with the ratio itself—which is thecase for deuterons at the high-momentum end of the spectrum.The measured deuteron-to-proton production ratios are illustrated in Fig. 12, and comparedwith the predictions of Geant4’s FRITIOF model. FRITIOF’s predictions are shown for π + beam particles . FRITIOF reproduces deuteron production reasonably well, except perhaps atlarge polar angles. d e u t e r on / p r o t on r a t i o Particle momentum at vertex (GeV/c) o < Θ < o o < Θ < o o < Θ < o o < Θ < o Fig. 12: Deuteron-to-proton production ratios for 8 GeV/ c beam particles on carbon nuclei, as a functionof the momentum at the vertex, for four polar-angle regions; open squares denote beam protons, opencircles beam π + ’s, and full circles beam π − ’s; the full lines denotes predictions of Geant4’s FRITIOFmodel for π + beam particles. We observe no appreciable dependence of the deuteron-to-proton production ratio on beam momentum. There is virtually no difference between its predictions for incoming protons, π + ’s and π − ’s.
18n Fig. 13 we show, for the polar-angle region ◦ < θ < ◦ , how the deuteron-to-protonratio varies with the mass of the target nucleus. The ratios are for 8 GeV/ c beam protons onberyllium, carbon, copper, tantalum and lead nuclei. Particle momentum at vertex (GeV/c) d e u t e r on / p r o t on r a t i o PbTaCuCBe
Fig. 13: Deuteron-to-proton production ratios for 8 GeV/ c beam protons on beryllium, carbon, copper,tantalum and lead nuclei, as a function of the momentum at the vertex, for the polar-angle region ◦ <θ < ◦ . able 2: Ratio of deuterons to protons produced by beam protons, π + ’s and π − ’s of 8 GeV/ c momentum,as a function of the particle momentum p [GeV/ c ] at the vertex, for differents bins of polar angle θ . Polar angle Beam p Beam π + Beam π − θ p d/p d/p d/p ◦ − ◦ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ◦ − ◦ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ◦ − ◦ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ◦ − ◦ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ◦ − ◦ ± ± ± ± ± ± S UMMARY
From the analysis of data from the HARP large-angle spectrometer (polar angle θ in the range ◦ < θ < ◦ ), double-differential cross-sections d σ/ d p dΩ of the production of secondaryprotons, π + ’s, and π − ’s, and of deuterons, have been obtained. The incoming beam particleswere protons and pions with momenta from ± to ± GeV/ c , impinging on a 5% λ int thickstationary carbon target.In the same way as for the other target nuclei which we have analyzed, our cross-sectionsfor π + and π − production disagree with results of the HARP Collaboration that were obtainedfrom the same raw data.We have compared the inclusive carbon π + and π − production cross-sections with thoseon beryllium, copper, tantalum, and lead and find an approximately linear dependence on thescaling variable A / .We also observe a sizeable production of deuterons off carbon nuclei that we compared tothe deuteron production on beryllium, copper, tantalum, and lead. A CKNOWLEDGEMENTS
We are greatly indebted to many technical collaborators whose diligent and hard work madethe HARP detector a well-functioning instrument. We thank all HARP colleagues who devotedtime and effort to the design and construction of the detector, to data taking, and to setting upthe computing and software infrastructure. We express our sincere gratitude to HARP’s fundingagencies for their support. R EFERENCES [1] M. Apollonio et al. , J. Instrum. (2009) P07001[2] A. Bolshakova et al. , Eur. Phys. J. C62 (2009) 293 (CERN-PH-EP-2008-022,arXiv:0901.3648)[3] A. Bolshakova et al. , Eur. Phys. J.
C62 (2009) 697 (CERN-PH-EP-2008-025,arXiv:0903.2145)[4] A. Bolshakova et al. , Eur. Phys. J.
C63 (2009) 549 (CERN-PH-EP-2009-009,arXiv:0906.0471)[5] A. Bolshakova et al. , Eur. Phys. J.
C64 (2009) 181 (CERN-PH-EP-2009-012,arXiv:0906.3653)[6] A. Bolshakova et al. , Eur. Phys. J.
C66 (2010) 57 (CERN-PH-EP-2009-025,arXiv:0912.0378v1)[7] V. Ammosov et al. , Nucl. Instrum. Methods Phys. Res.
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A506 (2003) 250; J. Allison etal. , IEEE Trans. Nucl. Sci. (2006) 270[10] A. Bolshakova et al. , Eur. Phys. J. C56 (2008) 323[11] A. Bolshakova et al. , Tables of cross-sections of large-angle hadron production in proton–and pion–nucleus interactions VI: carbon nuclei and beam momenta from ± c to ±
15 GeV/ c , CERN–HARP–CDP–2010–001[12] http://pdg.lbl.gov/2009/AtomicNuclearProperties[13] M.G. Catanesi et al. , Phys. Rev. C77 (2008) 055207 (arXiv:0805.2871)[14] M. Apollonio et al. , Phys. Rev.
C80 (2009) 065207 (arXiv:0907.1428)2115] V. Ammosov et al. , J. Instrum. (2008) P01002[16] V. Ammosov et al. , Eur. Phys. J. C54 (2008) 169[17] V. Ammosov et al. , CERN–HARP–CDP–2006–003[18] V. Ammosov et al. , CERN–HARP–CDP–2006–007[19] V. Ammosov et al. , CERN–HARP–CDP–2007–001[20] A.G. Meshkovski, Ya.Ya. Shalamov, V.A. Shebanov, J. Exp. Theor. Phys. (1957) 602(in Russian)[21] A.G. Meshkovski et al. , J. Exp. Theor. Phys. (1956) 987 (in Russian)[22] K.O. Oganesian, J. Exp. Theor. Phys. (1968) 1273 (in Russian)22 PPENDIX
A: C
ROSS - SECTION T ABLES
Table A.1: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in p + C → p + X interactions with +3 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± able A.2: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in p + C → π + + X interactions with +3 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.3: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in p + C → π − + X interactions with +3 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.4: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π + + C → p + X interactions with +3 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.5: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π + + C → π + + X interactions with +3 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.6: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π + + C → π − + X interactions with +3 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.7: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π − + C → p + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.8: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π − + C → π + + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.9: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π − + C → π − + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.10: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in p + C → p + X interactions with +5 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.11: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in p + C → π + + X interactions with +5 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.12: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in p + C → π − + X interactions with +5 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.13: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π + + C → p + X interactions with +5 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.14: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π + + C → π + + X interactions with +5 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.15: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π + + C → π − + X interactions with +5 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.16: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π − + C → p + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.17: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π − + C → π + + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.18: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π − + C → π − + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.19: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in p + C → p + X interactions with +8 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.20: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in p + C → π + + X interactions with +8 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.21: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in p + C → π − + X interactions with +8 . GeV/ c beam momentum; the first error is statistical, thesecond systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.22: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π + + C → p + X interactions with +8 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.23: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π + + C → π + + X interactions with +8 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.24: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π + + C → π − + X interactions with +8 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.25: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π − + C → p + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± able A.26: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π − + C → π + + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.27: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π − + C → π − + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.28: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in p + C → p + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.29: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in p + C → π + + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ±0.03
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ±0.03 able A.30: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in p + C → π − + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.31: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π + + C → p + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.32: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π + + C → π + + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.33: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π + + C → π − + X interactions with +12 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.34: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π − + C → p + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± able A.35: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π − + C → π + + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.36: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π − + C → π − + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.37: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in p + C → p + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.38: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in p + C → π + + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.39: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in p + C → π − + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.40: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π + + C → p + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± able A.41: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π + + C → π + + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.42: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π + + C → π − + X interactions with +15 . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± able A.43: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production ofprotons in π − + C → p + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.44: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π + ’s in π − + C → π + + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± able A.45: Double-differential inclusive cross-section d σ/ d p dΩ [mb/(GeV/ c sr)] of the production of π − ’s in π − + C → π − + X interactions with − . GeV/ c beam momentum; the first error is statistical,the second systematic; p T in GeV/ c , polar angle θ in degrees. < θ <
30 30 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
50 50 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
75 75 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± < θ <
105 105 < θ < p T (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ (cid:104) p T (cid:105) (cid:104) θ (cid:105) d σ/ d p dΩ ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ± ±0.03