Point-coupling Models from Mesonic Hypermassive Limit and Mean-field Approaches

Abstract

In this work, we show how nonlinear pointcoupling models, described by a Lagrangian density containing only terms up to fourth order in the fermion condensate (ψψ), are derived from a modified mesonexchange nonlinear Walecka model. We present two methods of derivation, namely the hypermassive meson limit within a functional integral approach and the mean-field approximation, in which equations of state at zero temperature of the nonlinear point-coupling models are directly obtained.

Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond

“…Basically, they are known as Boguta-Bodmer models [15]. Second, we use their point-coupling versions [16][17][18][19][20][21]. It is needed to emphasize here that the point-coupling models are as good as the FR ones in the description of nuclear matter and finite nuclei.…”