To the nature of $\chi_{c2}(2P)$

TL;DR

This paper discusses the expected branching ratio of the $ ext{chi}_{c2}(2P)$ particle decaying into gluons and light hadrons, and explores how to detect these decay modes.

Contribution

It provides an analysis of the decay branching ratios of $ ext{chi}_{c2}(2P)$ and discusses potential detection methods for these decay channels.

Findings

Expected branching ratio to gluons is at least 2%.

The decay to light hadrons accounts for the observed branching ratio.

Detection strategies for these decays are proposed.

Abstract

We expect that $BR(\chi_{c2}(2P)\to gluon\, gluon)\gtrsim 2 \%$ if Particle Data Group as well as BaBar and Belle collaboration correctly identified the state. In reality, this branching ratio corresponds to the one for $\chi_{c2}(2P)$ decaying to the light hadrons. We also discuss the detection possibilities of these decays.