Three-body model calculations for N=Z odd-odd nuclei with T=0 and T=1 pairing correlations

TL;DR

This paper investigates the interplay of T=0 and T=1 pairing correlations in N=Z odd-odd nuclei using three-body models, highlighting the dominance of T=0 pairing in certain nuclei and the role of SU(4) symmetry.

Contribution

It introduces a three-body model approach to analyze pairing correlations in N=Z odd-odd nuclei, providing insights into their ground states and transition properties.

Findings

T=0 pairing dominates in ground states of specific nuclei.

Strong magnetic dipole and Gamow-Teller transitions observed.

SU(4) symmetry influences spin-isospin transition strengths.

Abstract

We study the interplay between the isoscalar (T=0) and isovector (T=1) pairing correlations in N=Z odd-odd nuclei from 14N to 58Cu by using three-body model calculations. The strong spin-triplet T=0 pairing correlation dominates in the ground state of 14N, 18F, 30P, and 58Cu with the spin-parity J^{\pi}=1+, which can be well reproduced by the present calculations. The magnetic dipole and Gamow-Teller transitions are found to be strong in 18F and 42Sc as a manifestation of SU(4) symmetry in the spin-isospin space. We also discuss the spin-quadrupole transitions in these nuclei.