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Double-gluon charmonium hybrid states with various exotic quantum numbers

Niu Su^1,2, Hua-Xing Chen ^1,*, Wei Chen ^3,†, and Shi-Lin Zhu ^4,‡

¹School of Physics, Southeast University, Nanjing 210094, China
²Research Center for Nuclear Physics (RCNP), Osaka University, Ibaraki 567-0047, Japan
³School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
⁴School of Physics and Center of High Energy Physics, Peking University, Beijing 100871, China

^*hxchen@seu.edu.cn
^†chenwei29@mail.sysu.edu.cn
^‡zhusl@pku.edu.cn

Phys. Rev. D 109, L011502 – Published 9 January, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L011502

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 $J^{P C} = 0^{- -} / 0^{+ -} / 1^{- +} / 2^{+ -} / 3^{- +}$ that the conventional $\bar{q} q$ mesons cannot reach. We apply the QCD sum rule method to calculate their masses to be ${7.28}_{- 0.43}^{+ 0.38}$ , ${5.19}_{- 0.46}^{+ 0.36}$ , ${5.46}_{- 0.62}^{+ 0.41}$ , ${4.48}_{- 0.31}^{+ 0.25}$ , and ${5.54}_{- 0.43}^{+ 0.35} GeV$ , respectively. We study their possible decay patterns and propose to search for the $J^{P C} = 2^{+ -} / 3^{- +}$ states in the $D^{*} {\bar{D}}^{(*)} / D_{s}^{*} {\bar{D}}_{s}^{(*)} / Σ_{c}^{*} {\bar{Σ}}_{c}^{(*)} / Ξ_{c}^{*} {\bar{Ξ}}_{c}^{(', *)}$ 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.

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Phys. Rev. D 109, L011502– Published 9 January, 2024

Vol. 109, Iss. 1 — 1 January 2024

Received 29 August 2023
Accepted 11 December 2023

DOI: https://doi.org/10.1103/PhysRevD.109.L011502

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Double-gluon charmonium hybrid states with various exotic quantum numbers

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