Theory of Nucleon Transport in Deep Inelastic Heavy Ion Reactions.
Abstract
Heavy ion reactions induced by projectiles of A > 80 at bombarding energies of 5-10 MeV/nucleon were studied using classical dynamical models. The damping of the relative motion was accounted for by radial and tangential friction, which dissipated both energy and angular momentum. Deformations were initially simulated by a simple phenomenological prescription for the entrance channel/exit channel asymmetry in the nuclear and centrifugal potentials. Later, a time dependent prolate spheroidal deformation was assumed for the exit channel, and its effect on all forces was explicitly treated. In that treatment the nuclear forces were derived from the proximity potential and the one-body proximity friction. The most important aspect of this work was the treatment of mass and charge transport. Transfer was treated as a random process occurring at finite time intervals along the trajectory. The probability of transfer at a given time was governed by a driving force derived from the liquid-drop binding energy and the nuclear temperature. All forces affecting the collision dynamics as well as the transfer driving forces were adjusted instantaneously to reflect any change in the charge or mass. Because the process was random, the equations of motion were solved by a Monte-Carlo procedure, whereby each impact parameter (or partial wave) was integrated many times, yielding a distribution for the scattering angle, final kinetic energy, final mass and final charge. The model was very successful in fitting the peak of the angular distribution and most of the observed energy loss. The qualitative features of the mass or charge distributions were accounted for by the model, including the increase of the width with increased energy loss. However, the model was not able to account for all of the observed width of either the mass (or charge) distributions or the angular distributions. This was true even if the effects of thermal fluctuations were included. The reasons for these discrepancies and their possible solutions are discussed.
- Publication:
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Ph.D. Thesis
- Pub Date:
- 1985
- Bibcode:
- 1985PhDT.......160S
- Keywords:
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- Physics: Nuclear