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Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit

Esteban, Maria J.; Rota Nodari, Simona (2012), Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit, Reviews in Mathematical Physics, 24, 10, p. 1250025. http://dx.doi.org/10.1142/S0129055X12500250

Type
Article accepté pour publication ou publié
Date
2012
Nom de la revue
Reviews in Mathematical Physics
Volume
24
Numéro
10
Éditeur
World Scientific
Pages
1250025
Identifiant publication
Métadonnées
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Auteur(s)
Esteban, Maria J. cc

Rota Nodari, Simona cc
Résumé (EN)
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 nature from the one of the atomic physics. Ground states with a given angular momentum are shown to exist for a large class of values for the coupling constants and the mesons' masses. Moreover, we show that, for a good choice of parameters, the very striking shapes of mesonic densities inside and outside the nucleus are well described by the solutions of our model.
Mots-clés
nuclear physics; symmetric ground state; nucleons; ground state; relativistic; mean-field model