Systematic study of the isovector pairing effect on the moment of inertia of proton-rich nuclei in the region 30 <= Z <= 40

Abstract

A systematic study of the isovector neutron-proton (np) pairing effect on the moment of inertia is performed at zero temperature. This study is based on a recently established expression obtained using the framework of the quantum perturbation theory and the Inglis cranking method, at the limit when the temperature is nil. We considered even–even proton-rich nuclei such as 30 ≤ Z ≤ 40 and N − Z = 0, 2, 4 using the single-particle energies and eigen-states of a deformed Woods-Saxon mean-field. The obtained results are compared to their homologues of the conventional BCS theory (i. e. when only the pairing between like-particles is considered)