Effects of the pairing interactions among the nucleons in exotic nuclei within the hartree fock bogoliubob (HFB) theory

Abstract

We investigated the effects of nucleon pairing interactions, which include like nucleon pairing (neutron-neutron and proton-proton pairing) and unlike nucleon pairing (neutron-proton) interactions, on nuclear structure. In specific, the importance of the unlike pairing is detailed in medium heavy nuclei, such as isotopes of Ge and Zr. All calculations are carried out within the Hartree Fock Bogoliubob theory in the Nillson basis in order to consider the deformation of the nuclei, which is a typical phenomenon in the exotic nuclei relevant to nucleosynthesis. Our results show that the unlike pairing interactions could play vital roles in understanding the nuclear structure. Even the ordinary nuclei, which are not usually expected to have such large unlike proton pairing interactions, because of large Fermi energy gaps between protons and neutrons, could have unlike pairing interactions strong enough to be deliberately included. Our results are applied to the Ge64-76 and the Zr80-100 isotope series, which nuclei have recently been exploited as important isotopes in the rapid proton process in nucleosynthesis.