Influence of thermodynamic pairing on entropy and heat capacity of ⁹⁴Mo

A challenging goal in nuclear physics is to deduce the thermodynamical quantities as functions of excitation energy. These quantities depend on statistical properties in the nuclear many-body system and may reveal phase transition. The density of levels as a function of excitation energy is the starting point to extract quantities such as entropy, heat capacity and temperature. Recently a good deal of attention has been devoted to the investigation of nuclear pairing correlations and phase transition. For larger systems, the phase transition was explained by the Bardeen-Cooper-Schrieffer (BCS) mean-field theory. In our former work, we have investigated the nuclear specific heat as a function of temperature and angular momentum for seven even-even 2s-1d shell nuclei (small system) to confirms the phase transition by using statistical theory of hot rotating nuclei (STHR). The nuclear specific heat is one of the crucial tools to study the existence of phase transition. For the complete understanding of the nature of phase transition a probe is primarily established on the nuclear specific heat with pairing correlation in statistical approach. A signature of such a phase transition would be the S shape of the heat capacity as a function of temperature