Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction

Abstract

The $Y(4220)$ production in the process of $p\bar{p}\to Y(4220){\pi }^0$ is studied within the effective Lagrangian approach. We first study the $e^{+}{e}^{-}\to Y(4220)\to p\bar{p}{\pi }^0$ reaction at center-of-mass energy $4.258$ GeV with the assumption that the $Y(4220)$ is a $\psi (4S)$ state. We show that the inclusion of nucleon and nucleon resonance leads to a quite good description of the experimental data of ${\pi }^{0}p$ and ${\pi }^0\bar{p}$ invariant mass distributions. Then, the total and angular distributions of the $p\bar{p}\to Y(4220){\pi }^0$ reaction are investigated. It is shown that the nucleon pole is dominant but the contributions from excited nucleon resonances are non-negligible. The $p\bar{p}\to Y(4220){\pi }^0$ reaction is useful for studying the property of $Y(4220)$ and our calculated results may be tested at the forthcoming $\overline{\text{mbox}P}$ANDA experiments.

Comments: 7 pages, 6 figures and 1 table. More typos corrected. Accepted by Phys. Rev. D