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

Abstract : 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.
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Article dans une revue
Reviews in Mathematical Physics, World Scientific Publishing, 2012, 24 (10), pp.1250025

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https://hal.archives-ouvertes.fr/hal-00692134
Contributeur : Maria J. Esteban <>
Soumis le : mercredi 5 septembre 2012 - 22:59:38
Dernière modification le : vendredi 16 novembre 2018 - 01:42:03
Document(s) archivé(s) le : vendredi 16 décembre 2016 - 10:04:35

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• HAL Id : hal-00692134, version 2
• ARXIV : 1204.6454

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Maria J. Esteban, Simona Rota Nodari. Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit. Reviews in Mathematical Physics, World Scientific Publishing, 2012, 24 (10), pp.1250025. 〈hal-00692134v2〉

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