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In this paper, we consider a stationary model for a nucleon interacting withthe $\omega$ and $\sigma$ mesons in the atomic nucleus. The model isrelativistic, and we study it in a nuclear physics nonrelativistic limit. By ashooting method, we prove the existence of infinitely many solutions with agiven angular momentum. These solutions are ordered by the number of nodes ofeach component.

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