, Volume 14, Issue 5, pp 1287-1303
Date: 09 Nov 2012

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

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Abstract

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.

Communicated by Nader Masmoudi.