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dc.contributor.authorRota Nodari, Simona
HAL ID: 741759
ORCID: 0000-0003-4301-2901
dc.date.accessioned2011-01-10T11:35:07Z
dc.date.available2011-01-10T11:35:07Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5419
dc.language.isoenen
dc.subjectsystem of Diracen
dc.subjectatomic nucleusen
dc.subjectrelativistic mean-field equationsen
dc.subject.ddc511en
dc.titleThe relativistic mean-field equations of the atomic nucleusen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherDipartimento di Matematica "Federico Enriques" Università degli studi di Milano;Italie
dc.description.abstractenIn 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.isversionofjnlnameReviews in Mathematical Physics
dc.relation.isversionofjnlvol24
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages41 pages
dc.relation.isversionofdoihttp://dx.doi.org/10.1142/S0129055X12500080
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00553265/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWorld Scientific
dc.subject.ddclabelAnalyseen


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