Investigations on heavy quarkonium hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$

Fuente: arXiv
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Main Authors: Wang, Qi-Nan, Lian, Ding-Kun, Chen, Hua-Xing, Chen, Wei
Format: Preprint
Published: 2025
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author Wang, Qi-Nan
Lian, Ding-Kun
Chen, Hua-Xing
Chen, Wei
author_facet Wang, Qi-Nan
Lian, Ding-Kun
Chen, Hua-Xing
Chen, Wei
contents We investigate the heavy quarkonium hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$ via QCD sum rule method. We construct the currents with three Lorentz indices and calculate the correlation functions up to dimension six at the leading order of $α_{s}$. The states with $J^{PC}=2^{+-}$ are extracted by constructing the corresponding projection operators. The obtained results indicate that the masses of $2^{+-}$ $\bar{c}Gc$ and $\bar{b}Gb$ hybrid states are about $4.49~\mathrm{GeV}$ and $10.48~\mathrm{GeV}$, respectively. We suggest to search for $\bar{c}Gc$ hybrid meson with $J^{PC}=2^{+-}$ in $J/ψf_{0,1,2}$ and $χ_{c0,1,2} ω$ final states.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19165
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Investigations on heavy quarkonium hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
Wang, Qi-Nan
Lian, Ding-Kun
Chen, Hua-Xing
Chen, Wei
High Energy Physics - Phenomenology
We investigate the heavy quarkonium hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$ via QCD sum rule method. We construct the currents with three Lorentz indices and calculate the correlation functions up to dimension six at the leading order of $α_{s}$. The states with $J^{PC}=2^{+-}$ are extracted by constructing the corresponding projection operators. The obtained results indicate that the masses of $2^{+-}$ $\bar{c}Gc$ and $\bar{b}Gb$ hybrid states are about $4.49~\mathrm{GeV}$ and $10.48~\mathrm{GeV}$, respectively. We suggest to search for $\bar{c}Gc$ hybrid meson with $J^{PC}=2^{+-}$ in $J/ψf_{0,1,2}$ and $χ_{c0,1,2} ω$ final states.
title Investigations on heavy quarkonium hybrid mesons with exotic quantum numbers $J^{PC}=2^{+-}$
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.19165