microscopic analysis of nuclear structure and thermal behavior in the superheavy region

Level density and thermodynamic quantities of 250cm96 and 287mc115 super-heavy isotopes are calculated based on time dependent pairing energy bach shifted fermi gas model t dp − bf gm. woods-saxon potential is considered for interaction of nucleons inside the nucleus. a temperature dependent pairing energy is also considered. in order to calculate level density and thermodynamic quantities like temperature, entropy and heat capacity of 250cm96 and 287mc115 super-heavy isotopes, the level density of theses nuclei are calculated by considering the effects of nuclear rotation and vibration. variation of level density, entropy, temperature and heat capacity as a function of excitation energy for under consideration isotopes are compared by considering the effects of rotation and vibration. obtained results on variation of heat capacity as a function of excitation energy indicate well the cooper pair breaking and cooling effects of these super-heavy isotopes. the novelty of this work is the discontinuity in the specific heat at constant volume for these super-heavy isotopes that are happen in the excitation energies around 2.5 mev for 250cm96 and 1mev for 287mc115 super-heavy isotopes, which indicates a phase transition from the superfluid state to normal matter.