Relations between Inclusive Reactions Based on the Vector-Meson-Dominance Model and Smoothness of Invariant Amplitudes

Abstract

One-particle spectra and inclusive density matrix elements are expressed in terms of the discontinuities of the helicity-dependent forward scattering amplitudes of three particles. Using the Vector-Meson-Dominance 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 reac­ tion rcN~ V +ttnything. The amplitudes of these reactions are given by using 18 real discon­ tinuities of the invariant amplitudes. Assuming smoothness of the dependence of the in­ variant amplitudes on vector-meson-mass squared, and restricting the dependence of the in­ variant amplitudes up to first order in the vector-meson-mass squared, we can obtain a new type of the vector-meson-dominance relations between inclusive density matrix elements for the reaction rcN~ V +anything and one-particle spectra for the reaction rN~rc+anything