https://doi.org/10.1140/epja/i2005-10193-0
Nuclear Structure and Reactions
Solving Bethe-Salpeter equation in Minkowski space
1
Lebedev Physical Institute, Leninsky Prospekt 53, 119991, Moscow, Russia
2
Laboratoire de Physique Subatomique et Cosmologie, 53 avenue des Martyrs, 38026, Grenoble, France
Received:
16
August
2005
Accepted:
6
January
2006
Published online:
26
January
2006
We develop a new method of solving the Bethe-Salpeter (BS) equation in Minkowski space. It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi integral representation of the BS amplitude. This method is valid for any kernel given by the irreducible Feynman graphs. For massless ladder exchange, our approach reproduces analytically the Wick-Cutkosky equation. For massive ladder exchange, the numerical results coincide with the ones obtained by Wick rotation.
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
