The entropy excess and moment of inertia excess ratio with inclusion of statistical pairing fluctuations

Abstract

The entropy excess of 163 Dy compared to 162 Dy as a function of nuclear temperature have been investigated using the mean value Bardeen–Cooper–Schrieffer (BCS) method based on application of the isothermal probability distribution function to take into account the statistical fluctuations. Then, the spin cut-off excess ratio (moment of inertia excess ratio) introduced by Razavi [Phys. Rev. C88 (2013) 014316] for proton and neutron system have been obtained and are compared with their corresponding data on the BCS model. The results show that the overall agreement between the BCS model and mean value BCS method is satisfactory and the mean value BCS model reduces fluctuations and washes out singularities. However, the expected constant value in the entropy excess is not reproduced by the mean value BCS method.

Thermal quantities of 46Ti

“…(4), (5) and (6), respectively. For more information on the calculation procedures see our previous publications [2,4,5,12]. The thermodynamic quantities also have been extracted from experimental data on nuclear level density, using Eqs.…”

“…The thermodynamic quantities also have been extracted from experimental data on nuclear level density, using Eqs. (10), (12) and (13), within the canonical ensemble framework. From Eq.…”

Role of neutron and proton system in spin cut off parameter and entropy of 89,90Y

“…The oscillator quantum number h ω 0 has been assigned the value of 41A − 1 3 MeV. The quantities μ and χ , which enter in the Nilsson potential, were taken from the following linear relations for neutron and proton systems [16,17]:…”

Studying the entropy excess and entropy excess ratio in (105,106,107)Pd within BCS model

“…In the above equation, D is determinant of the second derivatives of the grand partition function taken at the saddle point. For more information on the calculations of the formulas given in this section see our previous publications [3,[5][6][7].…”