Effective nucleon-nucleon interactions and nuclear matter equation of state

摘要

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.