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AbstractAbstract
[en] In this work we present the calculations of transition energies in lithium-like and in exotics atoms: 1) With the use of new ions beam source, it is now possible to produce highly charged ions. We thus have studied Li-like ions hyperfine structure to obtain information on relativistic many-body corrections and the magnetic sector of strong field QED. In heavy ions these are of the order of a few percent of the total transition energy. We also evaluated the Bohr-Weisskopf correction, which depends on the magnetic moment distribution inside the nucleus. We have evaluated the influence of the vacuum polarization and negative continuum states on these corrections. 2) An exotic atom is an atom in which one of the bound electrons is replaced by a negatively charged heavy particle (μ"-, π"-, p-bar...). In recent experiments have improvements in accuracy and resolution by 3 orders of magnitude have been obtained. We have thus improved the precision of calculation of transition energies used for the calibration or the interpretation of experiments on antiprotonic hydrogen (p-bar H) and on the determination of the pion mass by the use of pionic nitrogen (πN). Our calculations take into account hyperfine structure, and the charge distribution of the particle. We have improved the calculation of the vacuum polarization, which cannot be calculated in first order only for exotic atoms. For antiprotonic atoms we have also added the g-2 correction that comes from the composite structure of the anti-proton, which thus has g ≅ -5.5856. (author)
[fr]
Dans ce memoire, nous presentons des calculs d'energie de transition dans les ions lithiumoides et les atomes exotiques: 1) Les nouvelles sources rendent possible la fabrication d'ions lourds fortement charges. Nous nous sommes interesses a l'etude de la structure hyperfine des ions lithiumoides. Cela nous permet d'examiner les problemes relativistes a plusieurs corps et la partie magnetique des corrections d'Electrodynamique Quantique (QED). Dans les ions lourds, ces dernieres sont de l'ordre de quelques pour-cents par rapport a l'energie totale de la transition hyper- fine. Nous avons egalement evalue l'effet de Bohr-Weisskopf lie a la distribution du moment magnetique dans le noyau. Nous avons calcule puis compare ces differentes contributions en incluant les corrections radiatives (polarisation du vide et self- energie) ainsi que l'inuence du continuum negatif. 2) Un atome exotique est un atome dans lequel un electron du cortege est remplace par une particule de meme charge: μ"-, π"-, p-bar... Des experiences recentes ont permis de gagner trois ordres de grandeur en precision et en resolution. Nous avons voulu ameliorer la precision des calculs d'energies de transitions necessaires a la calibration et a l'interpretation dans deux cas: la mesure de parametres de l'interaction forte dans l'hydrogene antiprotonique (pH) et la determination de la masse du pion grace a l'azote pionique (N). Nos calculs prennent en compte la structure hyperfine et le volume de la distribution de charge de la particule. Nous avons ameliore le calcul de la polarisation du vide qui ne peut plus etre traitee au premier ordre de la theorie des perturbations dans le cas des atomes exotiques. Pour les atomes anti-protoniques, nous avons egalement ajoute la correction du g-2. Elle provient du caractere composite de l'anti-proton qui de ce fait possede un rapport gyromagnetique g ≅ -5.5856. (auteur)Original Title
Calcul de haute precision d'energies de transitions dans les atomes exotiques et les Lithiumoides: Corrections relativistes, corrections radiatives, structure hyperfine et interaction avec le cortege electronique residuel
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3 Jul 1998; 136 p; 108 refs.; Available from the INIS Liaison Officer for France, see the 'INIS contacts' section of the INIS website for current contact and E-mail addresses: http://www.iaea.org/inis/Contacts/; These de doctorat de l'Universite Pierre et Marie Curie, Specialite: Physique Atomique
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Miscellaneous
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Thesis/Dissertation
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CHARGE DISTRIBUTION, CLEBSCH-GORDAN COEFFICIENTS, DIRAC OPERATORS, DIRAC SPINORS, ELECTRON-ELECTRON INTERACTIONS, FEYNMAN DIAGRAM, HADRONIC ATOMS, HAMILTONIANS, HYPERFINE STRUCTURE, KLEIN-GORDON EQUATION, MANY-BODY PROBLEM, NUCLEAR MAGNETIC MOMENTS, NUCLEAR MODELS, QUANTUM ELECTRODYNAMICS, RADIATIVE CORRECTIONS, SPHERICAL HARMONICS, TENSORS, VACUUM POLARIZATION, WAVE FUNCTIONS
ATOMS, CORRECTIONS, DIAGRAMS, DIFFERENTIAL EQUATIONS, DIRAC EQUATION, ELECTRODYNAMICS, EQUATIONS, FIELD EQUATIONS, FIELD THEORIES, FUNCTIONS, INFORMATION, INTERACTIONS, LEPTON-LEPTON INTERACTIONS, MAGNETIC MOMENTS, MATHEMATICAL MODELS, MATHEMATICAL OPERATORS, NUCLEAR PROPERTIES, PARTIAL DIFFERENTIAL EQUATIONS, PARTICLE INTERACTIONS, QUANTUM FIELD THEORY, QUANTUM OPERATORS, SPINORS, WAVE EQUATIONS
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