Extended Skyrme pseudo-potential deduced from infinite matter properties

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.

6 pages, 2 figures

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Cited by in corpus (11)

• Equations of state for supernovae and compact stars
• Nuclear Equation of state for Compact Stars and Supernovae
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Microscopically constrained mean field models from chiral nuclear thermodynamics
• Nonlocal energy density functionals for pairing and beyond-mean-field calculations
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Extended Skyrme Equation of State in asymmetric nuclear matter
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method
• Partial wave decomposition of finite-range effective tensor interaction
• Skyrme pseudopotentials at next-to-next-to-leading order Construction of local densities and first symmetry-breaking calculations
• On the spin-isospin decomposition of nuclear symmetry energy