Extension and parameterization of high-order density dependence in Skyrme forces

TL;DR

This paper introduces an extended Skyrme force model with higher-order density dependence, improving nuclear property descriptions and affecting high-density nuclear behavior.

Contribution

It proposes a new parameterization of Skyrme forces incorporating higher-order density dependence, enhancing the modeling of nuclear properties.

Findings

New Skyrme parameterizations based on SLy4 show improved global nuclear descriptions.

Higher-order density terms significantly influence high-density nuclear properties.

Extended forces provide better agreement with experimental data.

Abstract

The three-body force is indispensable in nuclear energy density functionals which leads to a density dependent two-body term in the Hartree-Fock approach. Usually a single factional power of density dependency has been adopted. We consider the possibility of an additional higher-order density dependence in extended Skyrme forces. As a result, new extended Skyrme parametertizations based on the SLy4 force are obtained and the improvements in descriptions of global nuclei have been demonstrated. The higher-order term can also substantially affect nuclear properties in the high density region in general ways.