Photoproduction of Z(4430) through mesonic Regge trajectories exchange

Abstract

The recently discovered Z(4430) mesonic resonance is believed to be a strong tetraquark candidate. The photoproduction in the channel $\gamma p\to Z^{+}(4430)n\to {\psi }^{\prime }{\pi }^{+}n$ has been proposed as the most effective way to confirm the Z(4430) presence and to measure its quantum numbers. In this work we present a model for high energy and forward angle Z(4430) photoproduction in a effective Lagrangian approach. This model is based on the use of Regge trajectories exchange, thus a Regge propagator replaces the usual Feynman propagator. The differential and total cross sections and the asymmetries have been calculated for the $J^P$ quantum numbers $1^{-}$, $1^{+}$, $0^{-}$ and $2^{-}$ in the hypotheses that Z(4430) has isospin I=1.