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Mathematical study of the nonrelativistic limit of a relativistic mean-field model for nucleons

Tuesday 31st July 2012 - 14:45 to 15:30
INI Seminar Room 1
In this talk we consider a model for nucleons interacting with the omega and sigma mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics nonrelativistic limit, which is of a very different nature from the one of the atomic physics. This particular nonrelativistic limit naturally contains a relativistic correction linked to the spin-orbit interaction.

I will present some existence results for this model and I will show that, for a good choice of parameters, the very striking shapes of mesonic densities inside and outside the nucleus are well described by the solutions of our model.

The talk is based on joint works with Maria J. Esteban.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons