How reliable is the mean-field nuclear matter description for supporting chiral effective Lagrangians?

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.

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

Lourenço

Dutra

Amaral

et al. 2012

Braz J Phys

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Skyrme forces versus relativistic models: Reexamining instabilities

et al. 2008

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Nonlinear Walecka models and point-coupling relativistic models

et al. 2009

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We study hadronic nonlinear point-coupling (NLPC) models which reproduce numerically the binding energy, the incompressibility, and the nucleon effective mass at the nuclear matter saturation obtained by different nonlinear Walecka (NLW) models. We have investigated their behaviors as functions of the nuclear matter density to observe how they deviate from known NLW models. In our study we present a meson-exchange modified nonlinear Walecka model (MNLW) which exactly underlies a nonlinear point-coupling model (NLPC) presenting third-and fourth-order scalar density self-couplings. A discussion about naive dimensional analysis (NDA) and naturalness is also provided for a large class of NLW and NLPC models. At finite temperature, critical and flash parameters of both approaches are presented.

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How reliable is the mean-field nuclear matter description for supporting chiral effective Lagrangians?

Cited by 7 publications

References 14 publications

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

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

Skyrme forces versus relativistic models: Reexamining instabilities

Nonlinear Walecka models and point-coupling relativistic models

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