A way forward towards improvement of tensor force in \textit{pf}-shell

TL;DR

This paper proposes modifications to the tensor force components in extit{pf}-shell shell model interactions, improving agreement with experimental data by using Yukawa-type tensor force and spin-tensor decomposition.

Contribution

It introduces a novel approach to refine tensor force monopole matrix elements in extit{pf}-shell interactions, addressing systematic discrepancies.

Findings

Revised interaction shows improved agreement with experimental data.

Modified single-particle energies and TBMEs enhance model accuracy.

Approach is validated across Ca to Ge isotopes.

Abstract

In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. In this work, however, we note for GX-interactions of \textit{pf}-shell that the seven out of ten T = 1 tensor force monopole matrix elements do not share these systematic. We ameliorate this disparity making use of Yukawa-type tensor force and spin-tensor decomposition. Furthermore, we modify the single-particle energy of $1p_{3/2}$ orbit and two TBMEs of $0f$-orbit,and test the revised interaction from Ca to Ge isotopes with various physics viewpoints. The results are found to be satisfactory with respect to the experimental data.