4 papers
On the semiclassical spectrum of the Dirichlet-Pauli operator
Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. Assuming that the magne…
The MIT Bag Model as an infinite mass limit
Naiara Arrizabalaga, Loïc Le Treust, Albert Mas +1
The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass lies outside a smooth and bounded open set , it is proved that its spe…
Symmetric Excited States for a Mean-Field Model for a Nucleon
Loïc Le Treust, Simona Rota Nodari
In this paper, we consider a stationary model for a nucleon interacting with the and mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear p…
A variational study of some hadron bag models
Loïc Le Treust
Quantum chromodynamics (QCD) is the theory of strong interaction and accounts for the internal structure of hadrons. Physicists introduced phe- nomenological models such as the M.I…