THERMODYNAMIC PROPERTIES OF A NUCLEON UNDER THE GENERALIZED SYMMETRIC WOODS-SAXON POTENTIAL IN FLOURINE 17 ISOTOPE

Year 2016, Volume: 17 Issue: 4, 708 - 716, 01.12.2016

Bekir Can Lütfüoğlu , Muzaffer Erdoğan

https://doi.org/10.18038/aubtda.266151

Cited By: 2

Abstract

The
exact analytical solution of the Schrödinger equation for a generalized
symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus
for bound and quasi-bound states in one dimension. The wave functions imply
that the nucleon is completely confined within the nucleus, i.e., no decay
probability for bound states, while tunneling probabilities arise for the
quasi-bound state. We have calculated the temperature dependent Helmholtz free
energies, the internal energies, the entropies and the specific heat capacities
of the system.  It is shown that, when the quasi-bound state is included,
the internal energy and entropy increase, while the Helmholtz energy decreases
at high temperatures. Very high excitation temperatures imply that the nucleus
does not tend to release a nucleon. The calculated quasi
bound state energy is in reasonable agreement with the experimental data on the
cumulative fission energy issued by IAEA. 

Keywords

Generalized symmetric Woods-Saxon potential, bound and quasi bound states, analytical solutions, partition and thermodynamic functions, Fluorine 17 nucleus

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