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 $ω$ and $σ$ 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.

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