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AbstractAbstract
[en] The theory of the elementary excitations of the nuclei in a formalism particularly adapted to the uses of the forces depending on density is presented. It is shown how the total energy of the nucleus is calculated from the effective interaction. This energy is considered as being a functional of the one body density matrix; from this is derived the mean field and the particle hole interaction which enable the Hamiltonian to be constructed for the elementary excitations. Green's functions with one or two particles are used for comparing this theory with Migdal's, to give a consistant framework to the calculation of processes bringing in the particle-vibration coupling, and to understand the nature of the particle-hole interaction in relation with the particle-particle interaction. As an illustration, two solvable models are presented. In the first one the particle-hole interaction is separable and the second one studies the response function in the nuclear matter at the boundary of weak transfer moments (damping of the collective mode, collective modes in infinite systems)
[fr]
On presente la theorie des excitations elementaires des noyaux dans un formalisme particulierement adapte a l'utilisation des forces dependant de la densite: on montre comment on calcule a partir de l'interaction effective, l'energie totale du noyau. Cette energie est consideree comme une fonctionnelle de la matrice densite a un corps; on en tire le champ moyen et l'interaction particule-trou qui permettent de construire l'hamiltonien pour les excitations elementaires. Les fonctions de Green a une ou deux particules sont utilisees pour comparer cette theorie a celle de Migdal, pour donner un cadre consistant au calcul des processus faisant intervenir le couplage particule-vibration, et pour comprendre la nature de l'interaction particule-trou en relation avec l'interaction particule-particule. On presente deux modeles solubles, a titre d'illustration: dans le premier l'interaction particule-trou est separable; le second etudie la fonction de reponse dans la matiere nucleaire, a la limite des faibles moments de transfert (amortissement du mode collectif, modes collectifs dans les systemes infinis)Original Title
Theorie microscopique des excitations elementaires des noyaux
Primary Subject
Source
1977; 207 p; These (D. es S.).
Record Type
Miscellaneous
Literature Type
Thesis/Dissertation
Report Number
Country of publication
CALCIUM 40, CORRELATIONS, COUPLING, DENSITY MATRIX, EFFECTIVE CHARGE, ENERGY-LEVEL TRANSITIONS, EXCITATION, GIANT RESONANCE, GREEN FUNCTION, HAMILTONIANS, HARTREE-FOCK METHOD, INTERACTIONS, LEAD 208, MIGDAL THEORY, NUCLEAR MATTER, NUCLEAR QUADRUPOLE RESONANCE, NUCLEAR STRUCTURE, NUCLEI, OXYGEN 16, PARTICLE-HOLE MODEL, PARTICLES, PROTON DENSITY, RESPONSE FUNCTIONS, SUM RULES, UNIFIED MODEL, VIBRATIONAL STATES
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