C. K. Gelbke

Isotopic Scaling in Nuclear Reactions

A three parameter scaling relationship between isotopic distributions for elements with Z< or =8 has been observed. This allows a simple description of the dependence of such distributions on the overall isospin of the system. This scaling law (termed isoscaling) applies for a variety of reaction mechanisms that are dominated by phase space, including evaporation, multifragmentation, and deeply inelastic scattering. The origins of this scaling behavior for the various reaction mechanisms are explained. For multifragmentation processes, the systematics is influenced by the density dependence of the asymmetry term of the equation of state.

Universality of spectator fragmentation at relativistic bombarding energies

Abstract Multi-fragment decays of 129Xe, 197Au and 238U projectiles in collisions with Be, C, Al, Cu, In, Au and U targets at energies between E A = 400 and 1000 MeV have been studied with the ALADIN forward-spectrometer at SIS. By adding an array of 84 SiCsI(Tl) telescopes the solid-angle coverage of the setup was extended to θlab = 16°. This permitted the complete detection of fragments from the projectile-spectator source. The dominant feature of the systematic set of data is the Zbound universality that is obeyed by the fragment multiplicities and correlations. These observables are invariant with respect to the entrance channel if plotted as a function of Zbound, where Zbound is the sum of the atomic numbers Zi of all projectile fragments with Zi ⩾ 2. No significant dependence on the bombarding energy nor on the target mass is observed. The dependence of the fragment multiplicity on the projectile mass follows a linear scaling law. The reasons for and the limits of the observed universality of spectator fragmentation are explored within the realm of the available data and with model studies. It is found that the universal properties should persist up to much higher bombarding energies than explored in this work and that they are consistent with universal features exhibited by the intranuclear cascade and statistical multifragmentation models.

The MSU Miniball 4π fragment detection array

Abstract A compact and highly granular charged particle detection array, covering 89% of 4π in solid angle, is described. In its present configuration, the array consists of 188 fast-plastic CsI(Tl) phoswich detectors arranged in 11 rings coaxial about the beam axis. Each phoswich detector is comprised of a 40 μm thick plastic scintillator foil and a 2 cm thick CsI(Tl) crystal selected for good scintillation uniformity. The detectors are read out by photomultiplier tubes. Elemental identification up to Z ≈ 18 and isotopic identification of H and He nuclei is achieved by exploiting pulse shape discrimination techniques.

Statistical Multifragmentation in Central Au+Au Collisions at 35 MeV/u

Abstract Multifragment disintegrations, measured for central Au + Au collisions at E A = 35 MeV , are analyzed with the Statistical Multifragmentation Model. Charge distributions, mean fragment energies, and two-fragment correlation functions are well reproduced by the statistical breakup of a large, diluted and thermalized system slightly above the multifragmentation threshold.

Multifragment Emission in the Reaction 36Ar + 197Au at E/A = 35, 50, 80, and 110 MeV

Abstract Multifragment emission in the reaction 36 Ar + 197 Au at E A =35, 80, and 110 MeV has been measured with a low-threshold 4π detector array. Over this broad range of incident energies, the mean values and variances of the intermediate mass fragment (IMF: 3 ⩽ Z ⩽ 20) multiplicity distributions exhibit an approximate scaling with the total charged particle multiplicity. The measured multiplicities of light charged particles and intermediate mass fragments are compared with both a model involving statistical decay of an expanding compound nucleus, and with a model involving microscopic quasi-particle dynamics. The statistical decay model predictions are sensitive to the low-density nuclear equation of state.

Energy dependence of nuclear matter disassembly in heavy ion collisions

Abstract Measurements of light charged particle spectra from 20 Ne + Au at 100 and 156 MeV/nucleon are compared with results for similar systems at 9, 13, 19, 43, 241, 393, and 800 MeV/nucleon. Spectra at each energy are fitted with a moving source model to extract the temperatures, cross sections and source velocities for protons and light nuclei in the intermediate rapidity region. The 4 He/p production ratio decreases drastically with incident energy, whereas the d/p and t/p ratios are almost constant.

Imaging sources with fast and slow emission components

We investigate two-proton correlation functions for reactions in which fast dynamical and slow evaporative proton emission are both present. In such cases, the width of the correlation peak provides the most reliable information about the source size of the fast dynamical component. The maximum of the correlation function is sensitive to the relative yields from the slow and fast emission components. Numerically inverting the correlation function allows one to accurately disentangle fast dynamical from slow evaporative emission and extract details of the shape of the two-proton source.

Conditions for isoscaling in nuclear reactions

With the availability of rare isotope beams as well as detection systems that can resolve the masses and charges of the detected particles, isotope yields become an important observable for studying nuclear collisions of heavy ions @1,2#. This additional freedom on isospin asymmetry allows one to study the properties of bulk nuclear matter that are affected by the nucleon composition of the nuclei such as the isospin dependence of the liquid gas phase transition of nuclear matter @3‐5# and the asymmetry term @ 6‐9 # in the nuclear equation of state. To minimize undesirable complications stemming from the sequential decays of primary unstable fragments, it has been proposed that isospin effects can best be studied by comparing the same observables in two similar reactions that differ mainly in isospin asymmetry @5,7,9#. If two reactions, 1 and 2, have the same temperature but different isospin asymmetry, for example, the ratios of a specific isotope yield with neutron and proton numberN and Z obtained from system 2 and system 1 have been observed to exhibit isoscaling, i.e., exponential dependence of the form @5,7# R21~ N,Z!5Y 2~ N,Z!/Y 1~ N,Z!5C exp~ Na1Zb!, ~1!

Resolution tests of CsI(Tl) scintillators read out by pin diodes

Cylindrical CsI(Tl) scintillators of 38 mm diameter and 100 mm length read out with PIN diodes of 400 mm2 area were tested with respect to their response to medium energy light particles (p, d, t, α). Resolutions of better than 1% were achieved for 50 MeV protons and 90 MeV α-particles. For many crystals the resolution was found to be limited to 2–3% by local crystal nonuniformities which caused variations of the light output efficiency of several percent. A bench test is described which allows the detection of inhomogeneities to better than 0.5% accuracy. The quality of particle identification obtained with ΔE-E and pulse shape discrimination techniques are investigated as a function of count rate.

Trends of light particle spectra observed in nucleus-nucleus collisions

Abstract The emission of energetic light particles (p,d,t) has been studied for 16 O induced reactions on Al, Zr and Au targets at the incident energies of 140, 215 and 310 MeV. The light-particle energy spectra have been analyzed in terms of a moving thermal source. The apparent temperatures exhibit a systematic variation as a function of the incident energy per nucleon above the Coulomb barrier. The observed trend can be extrapolated in a smooth fashion to temperatures obtained in relativistic heavy-ion collisions.