Ground States for a Stationary Mean-Field Model for a Nucleon
  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. 
Maria J. Esteban (CEREMADE), Simona Rota Nodari (LJLL)
math.AP