Search for the reaction $e^{+}e^{-} \rightarrow \pi ^{+}\pi ^{-} \chi_{cJ}$ and a charmonium-like structure decaying to $\chi_{cJ}\pi ^{\pm}$ between 4.18 and 4.60 GeV

TL;DR

This study searches for specific charmonium production processes and potential charged charmonium-like states in electron-positron collisions within 4.18 to 4.60 GeV, finding no significant signals and setting upper limits.

Contribution

First search for $e^{+}e^{-} ightarrow ext{pi}^+ ext{pi}^- ext{chi}_cJ$ and charged charmonium-like states in this energy range, providing constraints on their existence.

Findings

No significant signals observed.

Upper limits set on production cross sections.

Constraints on charged charmonium-like structures.

Abstract

We search for the process $e^{+}e^{-}\rightarrow \pi ^{+}\pi ^{-} \chi_{cJ}$ ($J=0,1,2$) and for a charged charmonium-like state in the $\pi ^{\pm} \chi_{cJ}$ subsystem. The search uses data sets collected with the BESIII detector at the BEPCII storage ring at center-of-mass energies between 4.18 GeV and 4.60 GeV. No significant $\pi ^{+}\pi ^{-} \chi_{cJ}$ signals are observed at any center-of-mass energy, and thus upper limits are provided which also serve as limits for a possible charmonium-like structure in the invariant $\pi ^{\pm} \chi_{cJ}$ mass.