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

  title={Ground States for a Stationary Mean-Field Model for a Nucleon},
  author={M. Esteban and S. Nodari},
  journal={Annales Henri Poincar{\'e}},
  • M. Esteban, S. Nodari
  • Published 2013
  • Physics, Mathematics
  • Annales Henri Poincaré
  • 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. 
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