4 papers · 1 filter
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…
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…