Microscopic dynamical studies of the effects of the nuclear equation of state in intermediate-energy heavy-ion collisions
Lenk, Robert John
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https://hdl.handle.net/2142/25204
Description
Title
Microscopic dynamical studies of the effects of the nuclear equation of state in intermediate-energy heavy-ion collisions
Author(s)
Lenk, Robert John
Issue Date
1990
Doctoral Committee Chair(s)
Baym, Gordon A.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
nuclear equation of state
intermediate-energy heavy-ion collisions
microscopic dynamical calculations
fragmentation reactions
Bevalac-energy collisions
hot charged classical drops
Language
en
Abstract
We study the role of the nuclear equation of state in intermediate-energy heavy-ion collisions
using microscopic dynamical calculations. The relevant properties of the nuclear equation of state,
and their manifestation in fragmentation reactions and Bevalac-energy collisions are reviewed. The
available data on these collisions is summarized.
We calculate the disassembly of hot charged classical drops that have an equation of state
similar to that of nuclear matter. It is found that the region of adiabatic instability of the liquidvapor
phase transition is responsible for the rapid fragmentation of hot systems. For cooler drops,
we find that this unstable region causes large deformations in the droplet shape that are exploited
by the Coulomb force, resulting in fast binary and multiple fission decay modes.
We discuss the use of the Vlasov-Nordheim equation in calculating heavy-ion collisions, and
present a new method for solving the nuclear Vlasov equation with far greater accuracy than other
existing methods. This method is used to study the role of the quantum Fermi motion in heavy-ion
collisions.
We also study the accuracy of Vlasov-Nordheim theory in the classical limit (i.e., Vlasov-
Boltzmann) by comparing its predictions with the exact results of a classical model of heavy-ion
collisions. It is shown that, although the Vlasov-Boltzmann theory can reproduce the general
trends, it fails to reproduce the correct values of several specific observables. In this limited study,
we do not find that the theory is very useful for deducing the incompressibility of matter from
collision data.
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