Double-gluon charmonium hybrid states with various (exotic) quantum numbers

TL;DR

This paper predicts masses and decay patterns of exotic double-gluon charmonium hybrid states with unique quantum numbers using QCD sum rules, aiding experimental searches and understanding of QCD in the low-energy regime.

Contribution

It provides the first mass estimates and decay channel suggestions for exotic double-gluon charmonium hybrid states with specific quantum numbers.

Findings

Masses of exotic hybrid states are predicted in the 4.48-7.28 GeV range.

Decay patterns for specific quantum numbers are proposed for experimental detection.

Guidelines for experimental searches in various meson and baryon channels are provided.

Abstract

We study the double-gluon charmonium hybrid states with various quantum numbers, each of which is composed of one valence charm quark and one valence charm antiquark as well as two valence gluons. We concentrate on the exotic quantum numbers $J^{PC} =0^{--}/0^{+-}/1^{-+}/2^{+-}/3^{-+}$ that the conventional $\bar q q$ mesons can not reach. We apply the QCD sum rule method to calculate their masses to be $7.28^{+0.38}_{-0.43}$ GeV, $5.19^{+0.36}_{-0.46}$ GeV, $5.46^{+0.41}_{-0.62}$ GeV, $4.48^{+0.25}_{-0.31}$ GeV, and $5.54^{+0.35}_{-0.43}$ GeV, respectively. We study their possible decay patterns and propose to search for the $J^{PC}=2^{+-}/3^{-+}$ states in the $D^*\bar D^{(*)}/D^{*}_s \bar D^{(*)}_s/\Sigma_c^* \bar \Sigma_c^{(*)}/\Xi_c^* \bar \Xi_c^{(\prime,*)}$ channels. Experimental investigations on these states and decay channels can be useful in classifying the nature of the hybrid state, thus serving as a direct test of QCD in the low energy sector.