Cross-ladder effects in Bethe-Salpeter and light-front equations

May, 2005
11 pages
Published in:
  • Eur.Phys.J.A 27 (2006) 11-21
e-Print:

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Abstract:
Bethe-Salpeter (BS) equation in Minkowski space for scalar particles is solved for a kernel given by a sum of ladder and cross-ladder exchanges. The solution of corresponding Light-Front (LF) equation, where we add the time-ordered stretched boxes, is also obtained. Cross-ladder contributions are found to be very large and attractive, whereas the influence of stretched boxes is negligible. Both approaches -- BS and LF -- give very close results.
  • 03.65.Pm
  • 03.65.Ge
  • 11.10.St
  • Bethe-Salpeter equation: solution
  • light front
  • ladder approximation
  • binding energy
  • numerical calculations