Temperature Dependent Thermal Properties of 40Ca Nucleus

In this work, the thermal properties of double
magic 40Ca nucleus have been investigated. Mean field
calculations are performed. An effective Hamiltonian is
based on Nijmegen (Nigm.II) potential. The framework of
the constrained finite temperature Hartre
method is used. The calculations are performed in no
model space consisting of six major oscillator shells (i.e. 21
single particle orbits). The sensitivity of the thermal
properties such as: binding energy, nuclear radius, entropy
and free energy, is investigated to the degree of heating. This
study was carried in a temperature range zero to 8 MeV. As
the temperature of nucleus is increased by 8 MeV, it shows
about 310.917 MeV of excitation energy to achieve a 29.8%
volume increasing during heating. It means that volume
coefficient of expansion of the nucleus is increased with
increased temperature. The specific heat of the nucleus is
decreased as the temperature is increased. The free energy of
the nucleus is inversely proportional with
volume of the nucleus approximately undergoes quadratic
radial expansion with temperature. Finally the entropy
behavior exhibits almost a linear dependence on temperature
for T > 1MeV, the absence of response at low temperature is
due to shell-closure effects.