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

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Date
2013
Dewey
Analyse
Sujet
variational methods; ground states; nuclear physics; relativistic; mean-field model
Journal issue
Annales Henri Poincaré
Volume
14
Number
5
Publication date
2013
Article pages
1287-1303
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00023-012-0211-y
URI
https://basepub.dauphine.fr/handle/123456789/9881
Collections
  • CEREMADE : Publications
Metadata
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Author
Esteban, Maria J.
Rota Nodari, Simona
Type
Article accepté pour publication ou publié
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.

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