Relativistic quasipotential equations with u-channel exchange interactions

Details Relativistic quasipotential equations with u-channel exchange interactions Relativistic quasipotential equations with u-channel exchange interactions

1999-07-14

arxiv.org/abs/nucl-th/9907053v1

Phys.Rev. C60 (1999) 034005

Physics

Nuclear Physics

Nuclear Theory

Revtex, 20 pages, 12 PostScript figures, to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.60.034005

Various quasipotential two-body scattering equations are studied at the one-loop level for the case of $t$- and $u$-channel exchange potentials. We find that the quasipotential equations devised to satisfy the one-body limit for the $t$-channel exchange potential can be in large disagreement with the field-theoretical prediction in the case of $u$-channel exchange interactions. Within the spectator model, the description of the $u$-channel case improves if another choice of the spectator particle is made. Since the appropriate choice of the spectator depends strongly on the type of interaction used, one faces a problem when both types of interaction are contained in the potential. Equal-time formulations are presented, which, in the light-heavy particle system corresponding to the mass situation of the $\pi N$ system, approximate in a reasonable way the field-theoretical result for both types of interactions.

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