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

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Date
2013
Dewey
Analyse
Sujet
nucleon; shooting method; relativistic mean- field
Journal issue
Journal of Differential Equations
Volume
255
Number
10
Publication date
2013
Article pages
3536–3563
Publisher
Academic Press
DOI
http://dx.doi.org/10.1016/j.jde.2013.07.041
URI
https://basepub.dauphine.fr/handle/123456789/10631
Collections
  • CEREMADE : Publications
Metadata
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Author
Le Treust, Loïc
Rota Nodari, Simona
Type
Article accepté pour publication ou publié
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.

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