No abstract

1661An extension of the Veneziano model to Ps-V elastic (inelastic) scattering amplitude is presented, using the generalized Veneziano amplitude. The amplitude has the following natural properties: consistency with the original Veneziano model for nn->nw scattering amplitude and reasonable treatment for spin complications. Then one obtains relations for the coupling constants for three-vector mesons. These predicted relations are shown to be consistent with the SU(3) symmetry.

One-particle spectra and inclusive density matrix elements are expressed in terms of the discontinuities of the helicity-dependen t forward scattering amplitudes of three particles. Using the Vector-Meson-Do minance Model, one-particle spectra of the reactions rN~n-+any thing and eN~en-+anything are related to the inclusive density matrix element of the reaction rcN~ V +ttnything. The amplitudes of these reactions are given by using 18 real discontinuities of the invariant amplitudes. Assuming smoothness of the dependence of the invariant amplitudes on vector-meson-mas s squared, and restricting the dependence of the invariant amplitudes up to first order in the vector-meson-mas s squared, we can obtain a new type of the vector-meson-dom inance relations between inclusive density matrix elements for the reaction rcN~ V +anything and one-particle spectra for the reaction "r"N~rc+anything . § 1. IntroductionWith increasing reaction energy, inelastic processes become more and more important, and soon we have experiments on inclusive reactions, especially: singleparticle spectra off im unpolarized target. Also we have some experimental results of single-particle spectra produced by electron and polarized photon,_ and the inclusive density matrix elements of the p 0 meson produced by -a-+ p.In the quasi-elastic reactions we know that the vector-meson dominance model (VDM) ****> is satisfied fairly well (within factor two), and special~y well for the natural parity exchange processes. In VDM we make the smo~thness assumption of the amplitudes and relate real-photon, virtual-photon and vector-meson processes to each other. , On the other hand, in the deep inelastic process Bjorken scaling 2 > is also *> Part of this work has been done during one of the authors' (C.I.) stay at DESY during the summer of 1973.

No abstract

No abstract