The spinless relativistic Yukawa problem

  • Wolfgang Lucha (Corresponding author)
  • , Franz F. Schoeberl

Publications: Contribution to journalArticlePeer Reviewed

Abstract

Noticing renewed or increasing interest in the possibility to describe semirelativistic bound states (of either spin-zero constituents or, upon confining oneself to spin-averaged features, constituents with nonzero spin) by means of the spinless Salpeter equation generalizing the Schrödinger equation toward incorporation of effects caused by relativistic kinematics, we revisit this problem for interactions between bound-state constituents of Yukawa shape, by recalling and applying several well-known tools enabling to constrain the resulting spectra.

Original languageEnglish
Article number1450195
Number of pages10
JournalInternational Journal of Modern Physics A
Volume29
Issue number31
DOIs
Publication statusPublished - 20 Dec 2014

Austrian Fields of Science 2012

  • 103024 Quantum field theory
  • 103034 Particle physics

Keywords

  • Relativistic bound states
  • Bethe-Salpeter formalism
  • spinless Salpeter equation
  • Rayleigh-Ritz variational technique
  • Yukawa potential
  • SALPETER EQUATION
  • SEMIRELATIVISTIC HAMILTONIANS
  • DISCRETE SPECTRA
  • ENERGY BOUNDS
  • STATES

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