A three-fermion Salpeter equation

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dc.creatorBijtebier, J.
dc.date1998-09-17
dc.date.accessioned2026-07-07T04:25:08Z
dc.date.available2026-07-07T04:25:08Z
dc.descriptionWe write a 3D equation for three fermions by combining the three two-body potentials obtained by the reductions of the corresponding two-fermion Bethe-Salpeter equations to equivalent 3D equations, putting the spectator fermion on the mass shell. In this way, the cluster-separated limits are still exact, and the Lorentz invariance / cluster separability requirement is automatically satisfied, provided no supplementary approximation, like the Born approximation, is made. The use of positive free-energy projectors in the chosen reductions of the two-fermion Bethe-Salpeter equations prevents continuum dissolution in our 3D three-fermion equation. The potentials are hermitian and depend only slowly on the total three-fermion energy. The one high-mass limits are approximately exact. In view of a possible perturbation calculation, correcting the remaining discrepancies with the three-fermion Bethe-Salpeter equation, we succeeded in deriving our 3D equation from an approximation of the three-fermion Bethe-Salpeter equation, in which the three-body kernel is neglected and the two-body kernels approached by positive-energy instantaneous expressions, with the spectator fermion on the mass shell. The neglected terms are transformed into corrections to the 3D equation. A comparison is made with Gross' spectator model.
dc.description17 pages in LaTex. Submitted to Few-Body systems
dc.identifierhttps://arxiv.org/abs/hep-th/9809131
dc.identifierhttp://arxiv.org/abs/hep-th/9809131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55664
dc.subjectHigh Energy Physics - Theory
dc.subjectNuclear Theory
dc.titleA three-fermion Salpeter equation
dc.typetext

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