Instantaneous Bethe-Salpeter equation

1995/03/30 by M. G. Olsson, Siniša Veseli, S. Veseli +2 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Numerical methods for differential equations #hep-ph

paper · pdf · doi:10.1103/physrevd.52.5141

published as Phys.Rev. D52 (1995) 5141-5151 · Latex (uses epsf macro), 26 pages of text, 12 postscript figures included.

arxiv created 1995/03/30 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a systematic algebraic and numerical investigation of the instantaneous Beth-Salpeter equation. Emphasis is placed on confining interaction kernels of the Lorentz scalar, time component vector, and full vector-types. We explore the stability of the solutions and Regge behavior for each of these interactions, and conclude that only time component vector confinement leads to normal Regge structure and stable solutions for all quark masses.

Citations

• Weak decays of heavy mesons in the instantaneous Bethe Salpeter approach

Cited by

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• The spin structure of the qq interaction and the mass spectra of bound systems: different versions of the 3-dimensional reductions of the Bethe-Salpeter equation