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Symmetric Excited States for a Mean-Field Model for a Nucleon

Le Treust, Loïc; Rota Nodari, Simona (2013), Symmetric Excited States for a Mean-Field Model for a Nucleon, Journal of Differential Equations, 255, 10, p. 3536–3563. http://dx.doi.org/10.1016/j.jde.2013.07.041

Type
Article accepté pour publication ou publié
Date
2013
Journal name
Journal of Differential Equations
Volume
255
Number
10
Publisher
Academic Press
Pages
3536–3563
Publication identifier
Metadata
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Author(s)
Le Treust, Loïc cc
Rota Nodari, Simona cc
Abstract (EN)
In this paper, we consider a stationary model for a nucleon interacting with the ω and σ mesons in the atomic nucleus. The model is relativistic, and we study it in a nuclear physics nonrelativistic limit. By a shooting method, we prove the existence of infinitely many solutions with a given angular momentum. These solutions are ordered by the number of nodes of each component.
Subjects / Keywords
nucleon; shooting method; relativistic mean- field