Schrödinger models for solutions of the Bethe-Salpeter equation in Minkowski space. II. Fermionic bound-state constituents

Richard L. Hall and Wolfgang Lucha
Phys. Rev. D 90, 065012 – Published 10 September 2014

Abstract

In view of the obstacles encountered in any attempts to solve the Minkowski-space Bethe-Salpeter equation for bound states of two fermions, we study the possibility to model the bound-state features, at least at a qualitative level, by a Schrödinger description. Such a nonrelativistic potential model can be constructed by applying, to any given Bethe-Salpeter spectral data, “geometric spectral inversion” in its recently extended form, which tolerates also singular potentials. This leads to the adaptation of explicit models that provide an overview accounting for the Bethe-Salpeter formalism’s complexities.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 30 July 2014

DOI:https://doi.org/10.1103/PhysRevD.90.065012

© 2014 American Physical Society

Authors & Affiliations

Richard L. Hall1,* and Wolfgang Lucha2,†

  • 1Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada H3G 1M8
  • 2Institute for High Energy Physics, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna, Austria

  • *richard.hall@concordia.ca
  • wolfgang.lucha@oeaw.ac.at

See Also

Schrödinger models for solutions of the Bethe–Salpeter equation in Minkowski space

Richard L. Hall and Wolfgang Lucha
Phys. Rev. D 85, 125006 (2012)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 90, Iss. 6 — 15 September 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×