dc.contributor.author Rota Nodari, Simona HAL ID: 741759 ORCID: 0000-0003-4301-2901 dc.date.accessioned 2011-01-10T11:35:07Z dc.date.available 2011-01-10T11:35:07Z dc.date.issued 2012 dc.identifier.uri https://basepub.dauphine.fr/handle/123456789/5419 dc.language.iso en en dc.subject system of Dirac en dc.subject atomic nucleus en dc.subject relativistic mean-field equations en dc.subject.ddc 511 en dc.title The relativistic mean-field equations of the atomic nucleus en dc.type Article accepté pour publication ou publié dc.contributor.editoruniversityother Dipartimento di Matematica "Federico Enriques" Università degli studi di Milano;Italie dc.description.abstracten In nuclear physics, the relativistic mean-field theory describes the nucleus as a system of Dirac nucleons which interact via meson fields. In a static case and without nonlinear self-coupling of the $\sigma$ meson, the relativistic mean-field equations become a system of Dirac equations where the potential is given by the meson and photon fields. The aim of this work is to prove the existence of solutions of these equations. We consider a minimization problem with constraints that involve negative spectral projectors and we apply the concentration-compactness lemma to find a minimizer of this problem. We show that this minimizer is a solution of the relativistic mean-field equations considered. en dc.relation.isversionofjnlname Reviews in Mathematical Physics dc.relation.isversionofjnlvol 24 dc.relation.isversionofjnlissue 4 dc.relation.isversionofjnldate 2012 dc.relation.isversionofjnlpages 41 pages dc.relation.isversionofdoi http://dx.doi.org/10.1142/S0129055X12500080 dc.identifier.urlsite http://hal.archives-ouvertes.fr/hal-00553265/fr/ en dc.description.sponsorshipprivate oui en dc.relation.isversionofjnlpublisher World Scientific dc.subject.ddclabel Analyse en
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