T. Maehara

the elastic pp differential cross section measurements at the CERN SppS and the real part of the scattering amplitude

Abstract The experimental data of the p p differential cross section in the energy range ∝s = 541–546 GeV at the CERN S p p S including the recent precise UA4/2 experiment in the Coulomb interference region are analyzed to obtain information on the real part of the scattering amplitude at the whole region of the momentum transfer of the experimental data points. We make a fit to the experimental data by using the real part of the scattering amplitude given by the derivative dispersion relation (DDR). We obtrained ϱ = 0.120−0.003+0.017 for the ratio of the real part to the imaginary part of the forward scattering amplitude.

MOMENTUM-TRANSFER STRUCTURE OF POMERON AT ACCELERATOR ENERGIES

A representation of Pomeron amplitude derived asymptotically in the framework of the geometrical diffraction picture is shown to be consistent with the gross feature of the experimental data of the differential cross-section of pp and

THE FORWARD PEAK OF ELASTIC HARDON-HADRON SCATTERING AND UNITARITY BOUNDS FOR THE DIFFERENTIAL CROSS-SECTION

\bar{p}p

Dip-bump structure of the elastic hadron-hadron differential cross section

scattering in the low energy region

Generalized geometrical scaling behavior of elastic hadron-hadron scattering amplitudes at high energies.

\sqrt{s}=20\hbox{--}1800~{\rm GeV}

Mutual transformation among bound, virtual and resonance states in one-dimensional rectangular potentials

over a wide range of momentum transfer. It is found that the most peripheral part of the diffraction interaction is characterized by a mass parameter of 0.4–0.5 GeV indicating the dominance of the two-pion states.

Asymptotic properties of elastic hadron-hadron diffraction scattering amplitude

Unitarity bounds for the differential cross-section of high-energy elastic hadron-hadron scattering are obtained under the constraints of fixed total cross-section σt, elasticity x, real part to imaginary part ratio ρ of the forward scattering amplitude, and forward slope b by assuming a finite interaction range. The obtained upper bound has an observed curvature structure at small momentum transfers and is nearly saturated by the experimental data of pp and scattering at −t=0−0.3 (GeV/c)2 in the energy region , if we take the interaction radius scaled as .