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The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

The possibility of extending the linear sigma-omega model by introducing a sigma-omega coupling phenomenologically is explored. It is shown that, in contrast to the usual Walecka model, not only the effective nucleon mass M* but also the…

Nuclear Theory · Physics 2009-11-06 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

The Debye screening masses of the $\sigma$, $\omega$ and neutral $\rho$ mesons and the photon are calculated in the relativistic mean-field approximation. As the density of the nucleon increases, all the screening masses of mesons increase.…

Nuclear Theory · Physics 2009-11-07 Bao-Xi Sun , Xiao-Fu Lu , Peng-Nian Shen , En-Guang Zhao

We analyzed the results for finite nuclei and infinite nuclear and neutron matter using the standard $\sigma-\omega$ model and with the effective field theory. For the first time, we have shown here quantitatively that the inclusion of…

Nuclear Theory · Physics 2007-05-23 P. Arumugam , B. K. Sharma , P. K. Sahu , S. K. Patra

In this paper we consider a model for a nucleon interacting with the $\omega$ and $\sigma$ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit, which is of a very different…

Analysis of PDEs · Mathematics 2015-06-04 Maria J. Esteban , Simona Rota Nodari

Recent studies have shown that concepts of effective field theory such as naturalness can be profitably applied to relativistic mean-field models of nuclei. Here the analysis by Friar, Madland, and Lynn of naturalness in a relativistic…

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl , John J. Rusnak

The quantum hadrodynamics (QHD) model with minimal nucleon-meson couplings is generalized by introducing couplings of mesons to derivatives of the nucleon field in the Lagrangian density. This approach allows an effective description of a…

Nuclear Theory · Physics 2009-11-07 S. Typel , T. v. Chossy , H. H. Wolter

The quark mean field model, which describes the nucleon using the constituent quark model, is applied to investigate the properties of finite nuclei. The couplings of the scalar and vector mesons with quarks are made density dependent…

Nuclear Theory · Physics 2009-11-07 Y. H. Tan , H. Shen , P. Z. Ning

We have constructed a Lagrangian model (SIG-OM) with coupling of sigma and omega mesons in the relativistic mean-field theory. Properties of finite nuclei and nuclear matter have been explored with the new Lagrangian model. The study shows…

Nuclear Theory · Physics 2008-11-26 Maryam M. Haidari , Madan M. Sharma

We study the relation between the finite-range (meson-exchange) and zero-range (point-coupling) representations of effective nuclear interactions in the relativistic mean-field framework. Starting from the phenomenological interaction…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , G. A. Lalazissis , P. Ring

In nuclear physics, the relativistic mean-field theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear self-coupling of the $\sigma$ meson, the relativistic…

Mathematical Physics · Physics 2015-05-20 Simona Rota Nodari

This work presents a preliminary study of 147 relativistic mean-field (RMF) hadronic models used in the literature, regarding their behavior in the nuclear matter regime. We analyze here different kinds of such models, namely: (i) linear…

Density dependent parametrization models of the nucleon-meson effective couplings, including the isovector scalar \delta-field, are applied to asymmetric nuclear matter. The nuclear equation of state and the neutron star properties are…

Nuclear Theory · Physics 2008-11-26 B. Liu , M. Di Toro , V. Greco , C. W. Shen , E. G. Zhao , B. X. Sun

In this paper we consider a variational problem related to a model for a nucleon interacting with the $\omega$ and $\sigma$ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit,…

Analysis of PDEs · Mathematics 2018-03-28 Maria J. Esteban , Simona Rota Nodari

In hypernuclear systems, interactions involving nucleons and hyperons are intricately influenced by the surrounding particles, particularly by the density and the isospin feature of the nuclear medium. In this work, the relativistic…

Nuclear Theory · Physics 2025-06-23 Shi Yuan Ding , Ting-Ting Sun , Bao Yuan Sun

Although ab-initio calculations of relativistic Brueckner theory lead to large scalar isovector fields in nuclear matter, at present, successful versions of covariant density functional theory neglect the interactions in this channel. A new…

Nuclear Theory · Physics 2016-06-09 X. Roca-Maza , X. Viñas , M. Centelles , P. Ring , P. Schuck

A relativistic mean-field model is used to study the ground-state properties of neutron-rich nuclei. Nonlinear isoscalar-isovector terms, unconstrained by present day phenomenology, are added to the model Lagrangian in order to modify the…

Nuclear Theory · Physics 2009-11-10 B. G. Todd , J. Piekarewicz

Asymmetric nuclear matter is studied in the frame of relativistic mean-field theory, using scalar-isoscalar sigma, vector-isoscalar omega meson together with their selfinteractions, vector-isovector rho meson with its cross-interaction with…

Nuclear Theory · Physics 2009-11-10 Juraj Kotulic Bunta , Stefan Gmuca

The relativistic mean field model, the Zim\'anyi - Moszkowski (ZM) Lagrangian describes nuclear matter and stable finite nuclei even in the non-relativistic limit. It fails, however, to predict the correct non-relativistic spin-orbit (SO)…

Nuclear Theory · Physics 2009-10-30 T. S. Biro , J. Zimanyi
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