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The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, in a recent study we reported the problem that in many Skyrme functionals, the neutron Fermi velocity exceeds the speed of light at densities that exist in neutron-star cores. To solve this problem, we try to construct new Skyrme parametrizations by including constraints from microscopic calculations of the effective mass in addition to binding energies and charge radii of finite nuclei and different microscopic equations of state of pure neutron matter. We give the parameters of the new Skyrme forces and show that our new effective interactions can successfully describe properties of finite nuclei (including the weak radius and the neutron-skin thickness of ^208Pb which were not fitted) and nuclear matter (including pure neutron matter, symmetric nuclear matter, and neutron star matter).
Duan et al. (2024) studied this question.