Photoproduction of Z(4430) through mesonic Regge trajectories exchange

TL;DR

This paper models the photoproduction of the Z(4430) mesonic resonance using Regge trajectories exchange to predict cross sections and asymmetries, aiding in its experimental identification and quantum number determination.

Contribution

It introduces a Regge trajectory-based effective Lagrangian model for Z(4430) photoproduction at high energies and forward angles.

Findings

Calculated differential and total cross sections.

Predicted asymmetries for different quantum numbers.

Provided theoretical guidance for experimental searches.

Abstract

The recently discovered Z(4430) mesonic resonance is believed to be a strong tetraquark candidate. The photoproduction in the channel $\gamma p\rightarrow Z^{+}(4430)n\rightarrow \psi ' \pi^{+} n$ 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.