Neutron-proton pairing correlations in a single $l-$shell model

TL;DR

This paper investigates neutron-proton pairing correlations using the Hartree-Fock-Bogoliubov formalism with isospin mixing, comparing results with an exact $SO(8)$ algebra model to enhance understanding of nuclear pairing phenomena.

Contribution

It introduces a novel application of the Hartree-Fock-Bogoliubov method with isospin mixing to study neutron-proton pairing, validated against an exact algebraic model.

Findings

Good agreement between HFB calculations and the exact $SO(8)$ model.

Demonstrates the effectiveness of isocranking in including neutron-proton mixing.

Provides insights into the role of pairing correlations in nuclear structure.

Abstract

The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical calculations performed within this method with an exact pairing model based on the $SO(8)$ algebra. The neutron-proton mixing is included in our calculations by performing rotations in the isospin space using the isocranking technique.