Modification of tensor force in \textit{p}-shell effective interaction

TL;DR

This paper modifies the tensor force components in a p-shell effective interaction to better match observed nuclear properties, improving the accuracy of shell model calculations.

Contribution

It introduces a revised effective interaction, CKN, with corrected tensor force monopole matrix elements based on analytical calculations.

Findings

Improved agreement with experimental spectra and electromagnetic moments.

Enhanced description of Gamow-Teller transitions.

More accurate modeling of p-shell nuclei.

Abstract

In many shell model interactions, the tensor force monopole matrix elements often retain systematic trends originating in the bare tensor force. However, in the present work, we find that Isospin T = 0 tensor force monopole matrix elements of \textit{p}-shell effective interaction CK(8-16) do not share these systematic. We correct these discrepancies by modifying T = 0 tensor force two-body matrix elements (TBMEs) of CK(8-16) by the analytically calculated tensor force TBMEs. With some additional modification of single-particle energies and TBMEs, the revised effective interaction is named as CKN. The effective interaction CKN has been tested for the calculations of \textit{p}-shell nuclei of normal parity states from various physics viewpoints such as excitation spectra, electromagnetic moments, and electromagnetic and \textit{G}amow-\textit{T}eller (\textit{GT}) transitions. The obtained results are found to be satisfactory.