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Density patterns and energy-angle distributions from a simple cascade scheme for fast /sup 20/Ne+/sup 238/U collisions

Journal Article · · Phys. Rev., C; (United States)
A simple but fully three-dimensional cascade approach, appropriate for considering heavy-ion collisions at a few hundred MeV per projectile nucleon, is applied to /sup 20/Ne+/sup 238/U. For impact parameters b/sub NeU/ of 0 and 5 fm the calculated results include densities rho(r,t) of nucleon masses during the collision and energy-angle distributions d/sup 2/n/dEd..cap omega.. of scattered nucleon masses emerging from the collision. All of the present calculations use idealized nucleon-nucleon interactions implying cross sections sigma/sub N/N that are purely elastic, isotropic, and independent of the initial NN state. Some of these calculations also introduce excluded-volume effects, such as those associated with a classical hard core in the NN interaction. The calculated density rho(r,t) is quite sensitive to changes in the size of the excluded volume (we tried hard cores of radius 0, 0.5, and 0.9 fm). However, it is only in the case of zero excluded volume that rho(r,t) shows much sensitivity to changes in sigma/sub N/N (we tried sigma/sub N/N=15.4, 25.4, and 53.1 mb). The distribution d/sup 2/n/dEd..cap omega.. is rather insensitive to the excluded-volume feature but does depend sensitively on sigma/sub N/N, on the impact parameter b/sub NeU/, and on the emitted-nucleon characteristics E and ..cap omega... For one particular set of NN parameters: hard-core radius=0.9 fm, sigma/sub N/N=25.4 mb: our cascade calculation reduces to a case in which each nucleon is modeled precisely as a classical frictionless billiard ball (a ''hard sphere'') of diameter equal to the hard-core radius. For this case our cascade results would be especially suitable for comparison with analogous fluid-dynamic results: these latter to be computed using the known equation of state of a hard-sphere gas.
Research Organization:
Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
OSTI ID:
6755564
Journal Information:
Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 23:1; ISSN PRVCA
Country of Publication:
United States
Language:
English