Regge Trajectories for Two Yukawa Potentials

Abstract

The leading Regge trajectories generated by two Yukawa potentials of different ranges are studied by both analytical and numerical methods. We find that several new features appear which are not present in the single-Yukawa case. We investigate in detail the behavior of the trajectories as we change gradually from the single- to the two-Yukawa-potential case, paying close attention to the appearance of branch cuts other than the usual right-hand cut in the leading trajectories. We notice that these cuts, if present in relativistic theory, can play important roles in explaining effects such as the polarization in the ${\ensuremath{\pi}}^{\ensuremath{-}}p$ charge-exchange reaction.