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Ground States for a Stationary Mean-Field Model for a Nucleon

Esteban, Maria J.; Rota Nodari, Simona (2013), Ground States for a Stationary Mean-Field Model for a Nucleon, Annales Henri Poincaré, 14, 5, p. 1287-1303. http://dx.doi.org/10.1007/s00023-012-0211-y

Type
Article accepté pour publication ou publié
Date
2013
Journal name
Annales Henri Poincaré
Volume
14
Number
5
Publisher
Springer
Pages
1287-1303
Publication identifier
Metadata
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Author(s)
Esteban, Maria J. cc

Rota Nodari, Simona cc
Abstract (EN)
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, which is of a very different nature than the nonrelativistic limit in the atomic physics. Ground states are shown to exist for a large class of values for the parameters of the problem, which are determined by the values of some physical constants.
Subjects / Keywords
variational methods; ground states; nuclear physics; relativistic; mean-field model