Proton-neutron pairing correlations in the nuclear shell model

TL;DR

This paper investigates proton-neutron pairing correlations in f-p shell nuclei using a shell-model approach that incorporates deformation, spin-orbit effects, and both isoscalar and isovector pairing, providing insights into their roles without symmetry violations.

Contribution

It introduces a shell-model framework that assesses various proton-neutron pairing modes in deformed nuclei while preserving symmetries, including deformation and spin-orbit effects.

Findings

Proton-neutron pairing significantly influences nuclear structure.

Deformation and spin-orbit effects modify pairing interactions.

Results for $^{44}$Ti, $^{46}$Ti, and $^{48}$Cr illustrate these effects.

Abstract

A shell-model study of proton-neutron pairing in f - p shell nuclei using a parametrized hamiltonian that includes deformation and spin-orbit effects as well as isoscalar and isovector pairing is reported. By working in a shell-model framework we are able to assess the role of the various modes of proton-neutron pairing in the presence of nuclear deformation without violating symmetries. Results are presented for $^{44}$Ti, $^{46}$Ti and $^{48}$Cr.