Heat Capacity of the Tin Neutron-Rich Isotopes, Including Quantal and Statistical Fluctuations

Abstract

At finite temperature, very limited information exists on nuclear level density and thermodynamic properties for such nuclei. So, one proposes in the present work to study the phenomenon of pairing phase transition, by evaluating the heat capacity, in the case of Tin isotopes. So, as a first step, our study will include the ordinary Sn isotopes such as 116 ≤ A ≤ 119, it will then be extended to the neutron-rich nuclei such as 126 ≤ A ≤ 129. Theoretically, we use the modified Lipkin-Nogami method (MLN) to eliminate the quantal and statistical fluctuations inherent in the FTBCS approach. The obtained results are compared to the conventional FTBCS results and to the MBCS predictions as well as to the experimental data when available. The inclusion of quantal and statistical fluctuations induces S-shape in the heat capacity curves, which is in a good agreement with experimental data.