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

TL;DR

This paper investigates the production mechanism of the $Y(4220)$ charmonium-like state in proton-antiproton collisions using an effective Lagrangian approach, providing theoretical predictions for upcoming experiments.

Contribution

It offers a novel theoretical analysis of $Y(4220)$ production in $par{p}$ collisions, including the role of nucleon resonances, to guide future experimental studies.

Findings

Nucleon pole dominates the $par{p} o Y(4220)\pi^0$ reaction.

Nucleon resonances contribute significantly to the process.

Results can be tested at the upcoming NDA experiments.

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 $\overline{\mbox{P}}$ANDA experiments.