https://doi.org/10.1140/epja/i2005-10194-y
Nuclear Structure and Reactions
Cross-ladder effects in Bethe-Salpeter and light-front equations
1
Laboratoire de Physique Subatomique et Cosmologie, 53 avenue des Martyrs, 38026, Grenoble, France
2
Lebedev Physical Institute, Leninsky Prospekt 53, 119991, Moscow, Russia
Received:
16
August
2005
Accepted:
6
January
2006
Published online:
26
January
2006
The 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.
PACS: 03.65.Pm Relativistic wave equations – / 03.65.Ge Solutions of wave equations: bound states – / 11.10.St Bound and unstable states; Bethe-Salpeter equations –
© Società Italiana di Fisica and Springer-Verlag, 2006
