839 articles – 5684 Notices  [english version]
 HAL : in2p3-00007072, version 1
 DOI : 10.1103/PhysRevD.31.2045
 Physical Review D 31 (1985) 2045-2075
 Memory-function approach to retardation effects in the relativistic two-body problem
 (1985)
 The memory-function approach is applied to the relativistic two-particle problem. We thus obtain integral equations similar to the Bethe-Salpeter equation, taking all retardation effects fully into account and eliminating the relative time variable. The formalism is studied for scalar Klein-Gordon fields as well as for spinorial Dirac fields. For both cases the memory function and the integral kernels are calculated for a given model explicitly. The scalar-scalar model of Cutkosky is treated in detail and numerical binding energies are obtained, very close to those of the original Bethe-Salpeter equation, thus showing the extreme importance of retardation effects. As an example for Dirac fields the memory function for a proton-antiproton pair interacting via exchange of a $\pi^0$ is established.
 Thème(s) : Physique/Physique des Hautes Energies - Théorie
 in2p3-00007072, version 1 http://hal.in2p3.fr/in2p3-00007072 oai:hal.in2p3.fr:in2p3-00007072 Contributeur : Emmanuelle Vernay <> Soumis le : Mardi 28 Novembre 2000, 16:52:15 Dernière modification le : Mercredi 17 Mai 2006, 10:37:16