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

Abstract

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.

References in corpus (1)

• Symmetric ground states for a stationary relativistic mean-field model for nucleons in the nonrelativistic limit

Cited by in corpus (1)

• The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications