• DOI:10.1007/s00023-012-0211-y
Corpus ID: 8457011

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

@article{Esteban2013GroundSF,
  title={Ground States for a Stationary Mean-Field Model for a Nucleon},
  author={M. Esteban and S. Nodari},
  journal={Annales Henri Poincar{\'e}},
  year={2013},
  volume={14},
  pages={1287-1303}
}

M. Esteban, S. Nodari

Published 2013

Physics, Mathematics

Annales Henri Poincaré

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In this paper we consider a variational problem related to a model for a nucleon interacting with the ω and σ 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.