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Essai sur les symétries géométriques et les transitions de forme du noyau de l'atome

Abstract : The geometrical symmetries used in nuclear physics are not very diversified, essentially the symmetry of the triaxial ellipsoid. One proposes therefore a rigourous method allowing to study the temporal evolution and the possibility of the existence of new symmetries among them the tetrahedral symmetry. The formalism of SCHRÖDINGER equation is reformulated in the framework of RIEMANN’s spaces. This formalism is used in the context of the atomic nucleus where one applies the mean-field theory combined with the adiabatic approximation. The nucleus is the terrain of two types of motions adiabatically separated, the quick motion of the nucleons in the mean-field and the collective motion modifying slowly the meanfield. The second one is governed by a collective SCHRÖDINGER equation written down in a space whose metric is given by the mass tensor. The study of the nucleus geometry is then computable with the help of two big programs developped within the thesis.
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David Rouvel. Essai sur les symétries géométriques et les transitions de forme du noyau de l'atome. Physique Nucléaire Théorique [nucl-th]. Université de Strasbourg, 2014. Français. ⟨NNT : 2014STRAE032⟩. ⟨tel-01126863⟩

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