Kinematic Superstructures for Abnormal Couplings in Multipion Dual Amplitudes

The modification of B , to eliminate the ghost at alp = 0 i s investigated, The J1JZJ3 leading three-particle vertex in B , i s calculated. Using this form, it i s shown that no finite number of t e r m modification of B, without trajectory depression satisfies consistent factorization in all multipion anlplitudes. Allowing trajectory depression, although daughter levels still presumably do not factorize, a solution i s found in which (a) all leading trajectories factorize, (b) a r e nondegenerate, and (c) the ppp vertex need not be zero. We believe this to be the suitable generalization of the Lovelace 4 -r amplitude. For Voi: the double sum degenerates to a single term with b, =J,, B= J, + J, -a, and we obtain J t J +J3-ol-B-y J J J (-1/21 "' ; '= n!g!y!(J,ay)!(J,a -p)!(J3py)! 'Factorizing this form into contributions from each of the four vertices of Fig. 3, we obtain Eq. (2).

Ghost-Eliminating Modifications in Multipion Amplitudes: Factorization on Leading Trajectories

Jacobs¹

1971

Some Simple Results on the Duality of Non-Parity-Doubled Systems

Jones

1972

We show that in some cases the crossing relations and kinematic behavior of helicity amplitudes alone suffice to rule out combinations of mutually bootstrapping trajectories. In particular, no set of g = -natural-parity trajectories call bootstrap itself in the reaction .rip -p~; and no set of meson trajectories of definite (natural or unnatural) parity can be self-clual in baryon-antibaryon or quark-antiquark scattering. The techniques described are most useful when the number of independent helicity amplitudes involved in the reaction is small, and several of these can be associated with definite parity for exchanged trajectories.

Physical trajectories in an inclusive dual resonance model

Randa

1974

Previous wcirk on the dual resonance model in inclusive vector-meson production is extended to include both abnormally coupled trajectories and trajectories with positive intercept. Differential cross sections and density-matrix elements are obtained and compared to those of the previous calculation. The single-particle spectrum for spinless mesons is also obtained and compared with earlier results.