Description relativiste de l'état fondamental des noyaux atomiques par l'approche du champ moyen auto-cohérent, incluant la déformation et la superfluidité

Abstract : The present work deals with the development of a relativistic Hartree-Fock-Bogoliubov model in axial symmetry. For the first time, a relativistic self-consistent mean-field approach which treats explicitly the exchange contributions can be applied for the description of both deformed and superfluid nuclei. There are advantages in using a relativistic formulation in comparison to non-relativistic approaches. The relevance of a covariant framework is not imposed by the need for relativistic nuclear kinematics, but rather it is linked to the use of Lorentz symmetries. In particular, the effectiveness of relativistic approaches in describing the nuclear systems lies in the distinction between Lorentz scalars and time-like component of 4-vectors. In this framework, nucleons are considered as point like particle and represented by a Dirac spinor. The in-medium nucleonnucleon interaction is described in terms of effective mesons exchange. The degrees of freedom dynamics is specified by a phenomenological Lagrangian density. This Lagrangian is characterized by eight free parameters adjusted to reproduce nuclear matter properties and ground-state properties of finite nuclei. An energy density functional is derived from the the Lagrangian. In particular, the explicit treatment of the Fock terms allows one to introduce the pion field. The minimization of this functional leads to the relativistic Hartree-Fock-Bogoliubov equations which are written in axial symmetry. They are expanded in a deformed harmonic oscillator basis. The relativistic Hartree-Fock-Bogoliubov model in axial symmetry is used for the description of the carbon, neon and magnesium isotopes.
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J.P. Ebran. Description relativiste de l'état fondamental des noyaux atomiques par l'approche du champ moyen auto-cohérent, incluant la déformation et la superfluidité. Physique Nucléaire Théorique [nucl-th]. Université Paris Sud - Paris XI, 2010. Français. ⟨tel-00565208⟩

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