Self-consistent calculation of the -meson regge pole

The left-hand discontinuities in the partial-wave amplitudes for - scattering are assumed to be dominated by the exchange of the meson in a form suggested by the Regge representation for a resonance. This Regge behavior provides the necessary high-energy cutoff and allows the ND equations to be solved. The partial-wave I=1 amplitudes are calculated for noninteger angular momenta l<1 as well as l=1. The trajectory (s) as well as the residue (s) of the -meson Regge pole are evaluated. An attempt is made to obtain a self-consistent solution for the relevant parameters, namely the position and width of the resonance and (0). The results of this calculation give (0)0.9. The I=0 vacuum trajectory is also discussed. © 1964 The American Physical Society