Finite size effects in the study of equation of state for the nuclei with skyrme force : a thesis presented in partial fulfilment of requirements for the degree of Master in Physics at Massey University, Palmerston North, New Zealand
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Date
2017
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Massey University
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Abstract
The equation of state for symmetric nuclear matter and nite nuclei has been
investigated using self-consistent Hartree Fock approach. Several versions of Skyrme
e ective interaction and Hill-Wheeler formula are employed in the calculation. The
nite size e ect parameter aF , which is introduced into the Hill-Wheeler formula, is
determined by comparing theoretical calculations and experimental results for the zero
temperature properties. The dependence of aF on the e ective interaction employed
has been studied. It was found that di erent versions of Skyrme force lead to di erent
values for aF apart from SKI and SKIII which gave a similar value. Also, the aF values
obtained with Skyrme interaction were di erent from what was obtained with Gogny
force with the exception of SKV interaction which gave a value of aF = 0:35 identical
to the value obtained with D1 Gogny interaction. The critical points of the rst order
phase transition for the nuclear matter and nite size nuclei calculated with the several
versions of Skyrme force were di erent from each other. The largest value of critical
temperature for nuclear matter is given by SKV force as Tc = 39:45 MeV, while SKIII
interaction gives the smallest value as Tc = 21:65 MeV. Similarly, the largest value
of the critical density is given by SKV interaction. The critical points depend on the
number of nucleons in the system and Tc decreases as the number of nucleons in the
system decreases.
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Nuclear matter, Equations of state, Research Subject Categories::NATURAL SCIENCES::Physics::Nuclear physics