Effective nucleon-nucleon interactions and nuclear matter equation of state

Abstract

Nuclear matter equations of state based on Skyrme, Myers-Swiatecki and Tondeur interactions are written as polynomials of the cubic root of density, with coefficients that are functions of the relative neutron excess $δ$. In the extrapolation toward states far away from the standard one, it is shown that the asymmetry dependence of the critical point ($ρ_c, δ_c$) depends on the model used. However, when the equations of state are fitted to the same standard state, the value of $δ_c$ is almost the same in Skyrme and in Myers-Swiatecki interactions, while is much lower in Tondeur interaction. Furthermore, $δ_c$ does not depend sensitively on the choice of the parameter $γ$ in Skyrme interaction.