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AbstractAbstract
[en] Several models, performed within a mean field theory, are developed for the calculation of nucleon-nucleus interaction potentials. The first part of the thesis deals with the nucleon-nucleus average interaction. It is mainly devoted to the calculation of dynamical corrections to the Hartree-Fock approximation. Two approaches are used: a microscopic model performed in the framework of the nuclear structure approach and a semi-phenomenological one, based on the application of the dispersion relations to the empirical imaginary potential. Both models take into account finite size effects like collectivity or threshold effects which are important at low energy. The Green's function properties are used for both models. The second part of this work is devoted to the interaction potential between two heavy ions. This calculation, which is performed in the framework of the sudden approximation, uses the energy density formalism (Thomas-Fermi approximation). It has been extended to finite temperature. At T=0 the experimental fusion barriers of heavy systems are reproduced within 4%. Their temperature dependence is studied. The proximity scaling is checked and a universal function is obtained at T=0 and at finite temperature. It is found that the proximity theorem is well satisfied on the average. The dispersion around the mean behaviour increases with increasing temperature. At last, P+A* and α+A* interaction potentials are calculated within a double folding model using a schematic effective interaction
[fr]
Plusieurs modeles de calcul de potentiels d'interaction nucleon-noyau et noyau-noyau sont developpes. Tous sont bases sur la notion de champ moyen. Deux parties peuvent etre distinguees. La premiere traite du potentiel moyen nucleon-noyau. Elle est essentiellement consacree au calcul des termes correctifs d'origine dynamique au potentiel Hartree-Fock, par ailleurs bien connu. Deux modeles sont developpes: un modele microscopique ayant pour cadre l'approche de structure nucleaire et un modele semi-phenomenologique base sur l'application des relations de dispersion au potentiel imaginaire empirique. Tous deux permettent de tenir compte des effets de taille finie des noyaux (collectivite, effets de seuil) qui sont importants a basse energie. Leur construction formelle est basee sur l'utilisation des proprietes des fonctions de Green. La deuxieme partie de ce travail traite du potentiel d'interaction entre deux ions lourds. Ce calcul, effectue dans le cadre de l'approximation soudaine utilise le formalisme de la densite d'energie (approximation de Thomas-Fermi). Il peut donc etre etendu a temperature finie. A temperature nulle, les barrieres de fusion experimentales des systemes de noyaux lourds sont reproduites a mieux que 4%. L'evolution de ces barrieres en fonction de la temperature est etudiee. Une loi d'echelle de proximite peut etre degagee. Cette propriete, bien verifiee a temperature nulle est encore satisfaite a temperature finie. La dispersion augmente cependant avec la temperature. Des potentiels d'interaction p+A* et α+A* sont d'autre part calcules dans le cadre d'un modele de convolution utilisant une interaction effective schematique. La loi d'echelle de proximite est encore satisfaiteOriginal Title
Etude de differents modeles de potentiels d'interaction nucleaire: systemes nucleon-noyau et noyau-noyau
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Secondary Subject
Source
1984; 348 p; These (D. es Sc.).
Record Type
Report
Literature Type
Thesis/Dissertation
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ANALYTICAL SOLUTION, BOUND STATE, CALCIUM 40, DEEP INELASTIC HEAVY ION REACT, DISPERSION RELATIONS, ENERGY LEVELS, GREEN FUNCTION, HEAVY ION FUSION REACTIONS, LEAD 208, NONLOCAL POTENTIAL, NUCLEAR POTENTIAL, NUCLEAR TEMPERATURE, NUCLEON REACTIONS, OPTICAL MODELS, RANDOM PHASE APPROXIMATION, SCALING LAWS, SHELL MODELS, TEMPERATURE DEPENDENCE, THOMAS-FERMI MODEL, TRANSPORT THEORY
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