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Relativistic oscillator in a Bethe-Salpeter model: Nonexistence of discrete bound states
Phys. Rev. D 26, 1983 – Published 15 October, 1982
DOI: https://doi.org/10.1103/PhysRevD.26.1983
Abstract
We investigate the solutions of the covariant Bethe-Salpeter equation for bound states of a scalar quark-antiquark system with an effective confining kernel which in coordinate four-space behaves as . Using a suitable set of new variables we separate the equation into one-dimensional equations and study the eigenvalue problem. We find that the covariant bound-state Bethe-Salpeter equation with the above kernel possesses only a continuous spectrum.
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Omitted endnote
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