Extended Skyrme pseudo-potential deduced from infinite matter properties

Abstract

We discuss the contributions to the Equation of State for the N Skyrme pseudo-potential (=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 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.

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