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

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 $\bar{p}p\to J/\ddot{I}ˆ\ddot{I}{€}^0$ 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.

7 pages, 7 figures