English

Symmetric Excited States for a Mean-Field Model for a Nucleon

Analysis of PDEs 2012-11-26 v1 Dynamical Systems

Abstract

In this paper, we consider a stationary 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. By a shooting method, we prove the existence of infinitely many solutions with a given angular momentum. These solutions are ordered by the number of nodes of each component.

Keywords

Cite

@article{arxiv.1211.5217,
  title  = {Symmetric Excited States for a Mean-Field Model for a Nucleon},
  author = {Loïc Le Treust and Simona Rota Nodari},
  journal= {arXiv preprint arXiv:1211.5217},
  year   = {2012}
}