ISOVECTOR PAIRING EFFECT ON NUCLEAR MOMENT OF INERTIA AT FINITE TEMPERATURE IN N = Z EVEN–EVEN SYSTEMS

Abstract

Expressions of temperature-dependent perpendicular (ℑ ⊥ ) and parallel (ℑ ‖ ) moments of inertia, including isovector pairing effects, have been established using the cranking method. They are derived from recently proposed temperature-dependent gap equations. The obtained expressions generalize the conventional finite-temperature BCS (FTBCS) ones. Numerical calculations have been carried out within the framework of the schematic Richardson model as well as for nuclei such as N = Z, using the single-particle energies and eigenstates of a deformed Woods–Saxon mean-field. ℑ ⊥ and ℑ ‖ have been studied as a function of the temperature. It has been shown that the isovector pairing effect on both the perpendicular and parallel moments of inertia is non-negligible at finite temperature. These correlations must thus be taking into account in studies of warm rotating nuclei in the N ≃ Z region.