Vlasov calculations of nuclear ground states

Abstract

We describe some properties of nuclear ground states using a microscopic Vlasov approach. We propose a new method to find the energy minimum of the system enforcing the fermionic nature of the system. Calculations are performed for two different parametrization of the mean field: a simple momentum independent Skyrme potential and a momentum dependent one as proposed by Gale, Bertsch and Das Gupta. We show that the binding energies and radii of nuclei from $^{16}$O to $^{208}$Pb are reasonably reproduced by opportunely tuning the surface term. We also made some calculations for neutron rich/poor nuclei.