Extended Skyrme pseudo-potential deduced from infinite matter properties

TL;DR

This paper extends the Skyrme pseudo-potential by including higher-order gradient terms, enabling better reproduction of ab-initio equation of state data and providing new constraints on tensor terms.

Contribution

It introduces an extended Skyrme pseudo-potential with 4th and 6th order gradients, improving agreement with ab-initio results and offering a novel way to constrain tensor terms.

Findings

Successfully reproduces spin/isospin decomposition of the equation of state

Provides a method to constrain the sign of tensor terms

Enhances the Skyrme pseudo-potential's accuracy in infinite matter

Abstract

We discuss the contributions to the Equation of State for the N$\ell$LO Skyrme pseudo-potential ($\ell$=2,3). We show that by adding 4th and 6th order gradient terms, it is possible to fairly reproduce the spin/isospin decomposition of an equation of state obtained from \emph{ab-initio} methods. Moreover, by inspecting the partial-wave decomposition of the equation of state, we show for the first time a possible way to add explicit constraints on the sign of the tensor terms of the Skyrme interaction.