Inclusive Production of Vector Mesons in the Dual-Resonance Model
Abstract
The vector-meson inclusive distribution is considered by making use of the eight-point dual amplitude for which two of the external lines are regarded as the decay products of a single vector meson. We find that the vector-meson vertex is factorizable both in the fragmentation and central regions only for large values of $\ensuremath{\kappa}={{p}_{\ensuremath{\perp}}}^{2}+{m}^{2}$. Nonfactorizability for low values of $\ensuremath{\kappa}$ is due to the correlations between the beam-target system and the decay products. Explicit and yet simple expressions for the vertex function as well as the vectormeson production cross section are given to the leading order in $\ensuremath{\kappa}$ for the triple-Regge and pionization limits. They show that the vector-meson decays, in either of the kinematic regions, along the preferred beam direction with a ${cos}^{2}\ensuremath{\beta}$ dependence, in the rest frame of the vector meson, provided that the intercept of the leading vacuum trajectory takes the value unity. Furthermore, it is found that in the central region the states with helicity \ifmmode\pm\else\textpm\fi{}1 contribute dominantly to the decay correlations, while in the triple-Regge region the state with helicity zero is favored.
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