Microscopic Classical Equations of Motion Calculations of High-Energy Heavy-Ioncollisions

Abstract

Classical microscopic nonrelativistic calculations are made for collisions between equal mass nuclei projectile and target with A = A = 20 for laboratory energies E = 117, 400 and 800 MeV/A and also between nuclei with Ap = A T = 40 for E = 400 MeV/A^. For a given initial configuration of the projectile and target nucléons the trajectories of all nucléons are calculated classically with two-body forces between all pairs of nucléons.The implementation of the CEOM calculations is presented and discussed in detail, in particular its four aspects, namely: the choice of the 2-body potentials, choice of initial configurations, the Α-body trajectory calcula tions, and the analysis of these.Nonrelativistic calculations are made for two types of potentials. A static potential, which consists of a sum of reasonable attractive and repul sive Yukawa potentials and which is adjusted to give reasonable binding energies and also to fit the average sin 2 8 weighted nucleon-nucleon cross section, which emphasizes transverse momentum transfers. The other type of potential is a scattering equivalent momentum dependent potential which is generated from the original static potential by a suitable canonical trans formation and which gives the identical asymptotic two-body trajectories as the static potential. More limited relativistic calculations for single initial configurations are also made. These are relativistic to order V 2 /c 2 and use a retarded potential.The configurations representing the initial nuclei are chosen to have a reasonable radius and kinetic energy; however, they do not saturate with 146 4.3 NONCENTRAL COLLISIONS 180