2012/04/30 by Maria J. Esteban, MARIA J. ESTEBAN, Simona Rota Nodari +1 · 6 citations
Mathematics · Physics and Astronomy · #Angular momentum #Atomic nucleus #Coupling (piping) #Coupling constant #Ground state #Limit (mathematics) #Meson #Momentum (technical analysis) #Nuclear physics research studies #Nucleon #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #math.AP
paper · pdf · doi:10.1142/s0129055x12500250
published in Reviews in Mathematical Physics 24(10), 1250025 (World Scientific)
arxiv created 2012/09/06 · openalex publication_date 2012/10/15 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we consider a model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, but we study it in the nuclear physics non-relativistic limit, which is of a very different nature from the one of the atomic physics. Ground states with a given angular momentum are shown to exist for a large class of values for the coupling constants and the mesons' masses. Moreover, we 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.