Charged charmoniumlike state $Z_c(3900)^\pm$ via meson photoproduction

TL;DR

This paper investigates the production of the charged charmoniumlike state $Z_c(3900)^+$ via meson photoproduction, providing theoretical cross section estimates and analysis to guide experimental searches around 7 GeV.

Contribution

It offers the first detailed theoretical prediction of $Z_c(3900)^+$ production cross sections and identifies optimal energy conditions for experimental detection.

Findings

Maximum cross section around 0.1 microbarns.

Dalitz plot analysis distinguishes signal from background.

Optimal search energy near 7 GeV.

Abstract

In this work, we explore the production of the newly observed charged charmoniumlike state $Z_c(3900)^\pm$ by the photoproduction process $\gamma p\to Z_c(3900)^+n$. Our numerical result indicates that the maximum of the calculated total cross section of $\gamma p\to Z_c(3900)^+n$ can reach up to the order of $0.1 \mu b$. Furthermore, the Dalitz plot analysis is performed by considering the Pomeron exchange as the background contribution. This analysis shows that the $Z_c(3900)^+$ signal can be distinguished from the background easily and the best energy window of searching for $Z_c(3900)^+$ is $\sqrt{s}\simeq7$ GeV, which is important information for further experimental study of $Z_c(3900)^+$ by meson photoproduction.