Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei

TL;DR

This paper analyzes the isoscalar, isovector, and orbital contributions to M1 transitions and magnetic moments in T=1/2 mirror nuclei, comparing experimental data with theoretical models including ab initio interactions.

Contribution

It provides a detailed comparison of M1 and Gamow-Teller transitions in mirror nuclei, highlighting the role of orbital contributions and deformation effects, and contrasts results with ab initio predictions.

Findings

Orbital contributions vary with nuclear configuration.

Magnetic moments depend on deformation and single-particle states.

Results align with isospin non-conserving interactions and ab initio models.

Abstract

The isoscalar and isovector components and their contributions to $M1$ transitions are discussed in the odd-$A$, $T=1/2$ mirror nuclei with mass number ranging from $A=23$ to 37. The orbital contributions in various $M1$ transitions and ground state magnetic moments are calculated by comparing analogous $M1$ and Gamow-Teller transitions between mirror pairs. The orbital contributions in different $M1$ transitions are explained on the basis of configurations of the initial and final states involved. In magnetic moments, the orbital contributions are found to be dependent on the deformation and single-particle nature of the states. All the $T=1/2$ mirror pairs are studied using isospin non-conserving interaction. The results are also compared with predictions from \textit{ab initio} effective interaction derived from realistic nuclear forces.