English

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

Analysis of PDEs 2018-03-28 v1

Abstract

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

Keywords

Cite

@article{arxiv.1208.2450,
  title  = {Ground States for a Stationary Mean-Field Model for a Nucleon},
  author = {Maria J. Esteban and Simona Rota Nodari},
  journal= {arXiv preprint arXiv:1208.2450},
  year   = {2018}
}