SU(3) Crossing Relation for Meson-Baryon Scattering and Regge Pole Theory

Abstract

The meson-nucleon scattering data from 6-18 GeV/c have been analysed under the hypo­ theses of the SU(3) crossing relation and the Regge pole theory. The cross sections associated with the unitary singlet trajectory are well explained with the parameters of the Pomeranchuk trajectory in the current analysis. Those associated with the 88 trajectory show some structure and require the introduction of new octet tensor mesons in addition to known ones,. The factorization apparently does not apply to the 8A associated cross sections and, hence, to the p and (() trajectories. The 10 + 10* and 27 plets associated cross sections are zero within ex­ perimental error. A physical interpretation of this result is discussed. In a recent development of high energy physics the superconvergertce rela­ tion!) (abbreviated s.c.r.) and the Regge pole theory combined with higher sym­ metry seem to give a consistent description of various phenomena. The S.C.L for the imaginary part of the forward scattering amplitude has usually been derived by assuming that the Regge trajectory ai (t) belonging to the particular unitary spin in the crossed channel crosses the negative value at t = 0**) in the Chew-Frautschi plot. Sakita and Wali 2 ) have analysed the s.c.r. for the B ampli. tude of C.G.L.N. 3 ) by assuming that a 27 (0) <0 and that the SU(3) crossing matrix 4 ) applies correctly. If they saturate ,that relation by the nucleon Born term and the N*(1236) in a narrow width approximation, then the F/D ratio is close to the one suggested by SU (6) symmetry. Palmer 5 ) has extended this work' by assuming that a lO (0) < -1. He could then write art additional s.c.r. for the whole amplitude f(v) = A (v) + vB (v), viz. CD