Discovery potential for the neutral charmoniumlike $Z^{0}(4200)$ by $\bar{p}p$ annihilation

TL;DR

This paper investigates the potential to discover the neutral $Z^{0}(4200)$ charmoniumlike state through antiproton-proton annihilation, identifying optimal energy conditions and providing theoretical guidance for future experiments.

Contribution

It presents a theoretical analysis of the production of the neutral $Z^{0}(4200)$ in $ar{p}p$ collisions using an effective Lagrangian approach, highlighting the best energy window for detection.

Findings

Optimal energy window identified at 4.0-4.5 GeV for $Z^{0}(4200)$ search.

Signal can be distinguished from background at the identified energy range.

Provides theoretical support for future experimental searches.

Abstract

Inspired by the observation of charmoniumlike $Z(4200)$, we explore the discovery potential of the neutral $Z^{0}(4200)$ production by antiproton-proton annihilation with an effective Lagrangian approach. By investigating the $\bar{p}p\rightarrow J/\psi \pi ^{0}$ process including the $Z^{0}(4200)$ signal and background contributions, it is found that the center of mass energy $E_{c.m.}\simeq 4.0-4.5$ GeV is the best energy window for searching the neutral $Z^{0}(4200)$, where the signal can be clearly distinguished from background. The relevant calculations is not only helpful to search for the neutral $Z^{0}(4200)$ in the future experiment, but also will promote the understanding the nature and production mechanism of neutral $Z^{0}(4200)$ better.