Bound states in Yukawa theory

Details Bound states in Yukawa theory Bound states in Yukawa theory

2005-06-13

arxiv.org/abs/hep-ph/0506123v1

Few Body Syst.46:115-138,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

62 pages, 6 eps figures

Scientific paper

10.1007/s00601-009-0056-1

A generalization of the Gell-Mann-Low Theorem is applied to bound state calculations in Yukawa theory. The resulting effective Schroedinger equation is solved numerically for two-fermion bound states with the exchange of a massless boson. The complete low-lying bound state spectrum is obtained for different ratios of the constituent masses. No abnormal solutions are found. We show the consistency of the non-relativistic and one-body limits and discuss the special cases of identical fermions and fermion-antifermion states. To our knowledge, this is the first consistent calculation of bound states in pure Yukawa theory (without UV cutoff).

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