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

Abstract

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 function 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 $h_{c}η$ final states.

Figures (6)

• Figure 1: OPE convergence for the $\bar{c}Gc$ hybrid state with $J^{PC}=2^{+-}$.
• Figure 2: Variation of $m_{H}$ with (a)$s_{0}$ and (b)$M_{B}^{2}$ corresponding to the $J^{PC}=2^{+-}$$\bar{c}Gc$ hybrid state .
• Figure 3: OPE convergence for the $\bar{b}Gb$ hybrid state with $J^{PC}=2^{+-}$.
• Figure 4: Variation of $m_{H}$ with (a)$s_{0}$ and (b)$M_{B}^{2}$ corresponding to the $J^{PC}=2^{+-}$$\bar{b}Gb$ hybrid state .
• Figure 5: Variation of $m_{H}$ with (a)$s_{0}$ and (b)$M_{B}^{2}$ corresponding to the $J^{PC}=0^{+-}$$\bar{c}Gc$ hybrid state .