Nonrelativistic approaches derived from point-coupling relativistic models

Abstract

We construct nonrelativistic versions of relativistic nonlinear hadronic point-coupling models, based on new normalized spinor wave functions after small component reduction. These expansions give us energy density functionals that can be compared to their relativistic counterparts. We show that the agreement between the nonrelativistic limit approach and the Skyrme parametrizations becomes strongly dependent on the incompressibility of each model. We also show that the particular case $A=B=0$ (Walecka model) leads to the same energy density functional of the Skyrme parametrizations SV and ZR2, while the truncation scheme, up to order ${\ensuremath{\rho}}^{3}$, leads to parametrizations for which $\ensuremath{\sigma}=1$.