Simona Rota Nodari
Salle
Nantes
Date et heure

Meeting  Mathematical physics
In this talk we consider a model for a nucleon interacting with the $\sigma$ and $\omega$ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit where is described by a nonlinear Schrödingertype equation with a mass which depends on the solution itself.
After discussing some previous results on the existence of positive solutions, I will prove the uniqueness and nondegeneracy of these ones. As an application, I will construct solutions to the relativistic $\sigma$ and $\omega$ model, which consists of one Dirac equation coupled to two KleinGordon equations.
The talk is based on a joint work with Mathieu Lewin