A cluster-separable Born approximation for the 3D reduction of the three-fermion Bethe-Salpeter equation

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dc.creatorBijtebier, J.
dc.date1999-07-15
dc.date2000-03-09
dc.date.accessioned2026-07-07T10:54:05Z
dc.date.available2026-07-07T10:54:05Z
dc.descriptionWe perform a 3D reduction of the two-fermion Bethe-Salpeter equation based on Sazdjian's explicitly covariant propagator, combined with a covariant substitute of the projector on the positive-energy free states. We use this combination in the two fermions in an external potential and in the three-fermion problems. The covariance of the two-fermion propagators insures the covariance of the two-body equations obtained by switching off the external potential, or by switching off all interactions between any pair of two fermions and the third one, even if the series giving the 3D potential is limited to the Born term or more generally truncated. The covariant substitute of the positive energy projector preserves the equations against continuum dissolution without breaking the covariance.
dc.description21 pages, 1 figure This article has been deeply modified after refereeing. The presentation has been improved and examples have been added. Three subsections have been added (transition matrix elements, two-body limits, covariant Salpeter's equation). submitted to Journal of Physics G
dc.identifierhttps://arxiv.org/abs/hep-th/9907122
dc.identifierhttp://arxiv.org/abs/hep-th/9907122
dc.identifierJ.Phys.G26:871-886,2000
dc.identifierdoi:10.1088/0954-3899/26/6/310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185697
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleA cluster-separable Born approximation for the 3D reduction of the three-fermion Bethe-Salpeter equation
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