Mirror and triplet displacement energies within nuclear DFT: numerical stability

TL;DR

This paper introduces isospin-symmetry-violating terms into the nuclear density functional to improve the modeling of displacement energies, with a focus on numerical stability of the fitting process.

Contribution

It incorporates charge-dependent contact terms into the Skyrme functional and examines their impact on displacement energies and numerical stability.

Findings

Preliminary fit results show stable numerical behavior.

Charge-dependent terms improve modeling of mirror and triplet energies.

The approach enhances the accuracy of nuclear energy density functionals.

Abstract

Isospin-symmetry-violating class II and III contact terms are introduced into the Skyrme energy density functional to account for charge dependence of the strong nuclear interaction. The two new coupling constants are adjusted to available experimental data on triplet and mirror displacement energies, respectively. We present preliminary results of the fit, focusing on its numerical stability with respect to the basis size.