Talk

On a nonlinear Schrödinger equation for nucleons

  • Simona Rota-Nodari (MPI MiS, Leipzig)
A3 01 (Sophus-Lie room)

Abstract

In this talk we consider a model for a nucleon interacting with the σ and ω 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 Schrödinger-type 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 non-degeneracy of these ones. As an application, I will construct solutions to the relativistic σ and ω model, which consists of one Dirac equation coupled to two Klein-Gordon equations.

The talk is based on joint works with M.J. Esteban, L. Le Treust and Mathieu Lewin.

Upcoming Events of this Seminar

  • Monday, 14.07.25 tba with Alexandra Holzinger
  • Tuesday, 15.07.25 tba with Anna Shalova
  • Tuesday, 12.08.25 tba with Sarah-Jean Meyer
  • Friday, 15.08.25 tba with Thomas Suchanek
  • Friday, 22.08.25 tba with Nikolay Barashkov
  • Friday, 29.08.25 tba with Andreas Koller