# Perturbation Scheme for the Effective Nuclear Force

## TL;DR

This paper introduces a new perturbation scheme to improve Skyrme-type nuclear forces, significantly enhancing the accuracy of fission barrier predictions in heavy nuclei through systematic Hartree-Fock+BCS calculations.

## Contribution

A novel perturbation method for Skyrme forces that better accounts for nuclear medium effects, improving fission barrier predictions for heavy nuclei.

## Key findings

- Fission barrier heights improved by nearly 90%
- Modified Skyrme parameter sets better match experimental data
- Enhanced description of heavy nuclei fission properties

## Abstract

Based on a systematic Hartree-Fock+BCS calculation, new perturbation scheme is proposed to modify the existing Skyrme-type effective nuclear force. Much attention is paid to have a better description of fission property of heavy nuclei. In terms of incorporating the nuclear medium effects on the fission barrier height more correctly, two typical Skyrme parameter sets (SkM* and SLy4) are modified. In conclusion, according to the comparison to experiments, the calculated fission barrier heights are improved by almost 90$\%$.