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.
Categories: hep-ph