SelfConsistent Calculation of the ρMeson Regge Pole
Abstract
The lefthand discontinuities in the partialwave amplitudes for ππ scattering are assumed to be dominated by the exchange of the ρ meson in a form suggested by the Regge representation for a resonance. This Regge behavior provides the necessary highenergy cutoff and allows the ND equations to be solved. The partialwave I=1 amplitudes are calculated for noninteger angular momenta l<1 as well as l=1. The trajectory α_{ρ}(s) as well as the residue β_{ρ}(s) of the ρmeson Regge pole are evaluated. An attempt is made to obtain a selfconsistent solution for the relevant parameters, namely the position and width of the ρ resonance and α_{ρ}(0). The results of this calculation give α_{ρ}(0)>~0.9. The I=0 vacuum trajectory is also discussed.
 Publication:

Physical Review
 Pub Date:
 July 1964
 DOI:
 10.1103/PhysRev.135.B267
 Bibcode:
 1964PhRv..135..267B