Stability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction

dc.creatorLi, Z. -F.
dc.creatorLucha, Wolfgang
dc.creatorSchoberl, F.
dc.date2007-12-18
dc.date.accessioned2026-07-07T11:54:44Z
dc.date.available2026-07-07T11:54:44Z
dc.descriptionSeveral numerical investigations of the Salpeter equation with static confining interactions of Lorentz-scalar type revealed that its solutions are plagued by instabilities of presumably Klein-paradox nature. By proving rigorously that the energies of all predicted bound states are part of real, entirely discrete spectra bounded from below, these instabilities are shown, for confining interactions of harmonic-oscillator shape, to be absent for a reduced version of an instantaneous Bethe-Salpeter formalism designed to generalize the Salpeter equation towards an approximate inclusion of the exact propagators of all bound-state constituents.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0712.2947
dc.identifierhttp://arxiv.org/abs/0712.2947
dc.identifierJ.Phys.G35:115002,2008
dc.identifierdoi:10.1088/0954-3899/35/11/115002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205010
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleStability in the instantaneous Bethe-Salpeter formalism: reduced exact-propagator bound-state equation with harmonic interaction
dc.typetext

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