Point-Coupling Models from Mesonic Hypermassive Limit and Mean-Field Approaches

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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18 pages. Accepted for publication in Braz. J. Phys

Scientific paper

In this work we show how nonlinear point-coupling models, described by a Lagrangian density that presents only terms up to fourth order in the fermion condensate $(\bar{\psi}\psi)$, are derived from a modified meson-exchange nonlinear Walecka model. The derivation can be done through two distinct methods, 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.

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