Symmetric Excited States for a Mean-Field Model for a Nucleon
  In this paper, we consider a stationary 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. 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. 
Lo\"ic Le Treust (CEREMADE), Simona Rota Nodari (AGM)
math.AP math.DS