The mass and current coupling of the tensor hybrid charmonia $H_{\mathrm{c}}$ and ${\tilde{H}}_{\mathrm{c}}$ with quantum numbers $J^{\mathrm{PC}}=2^{-+}$ and $2^{++}$, as well as their full widths, are calculated in the context of the QCD sum rule method. The spectral parameters of these states are computed using the QCD two-point sum rule approach including dimension-12 terms $\sim ⟨g_s^3{G}^3{⟩}^2$. The full decay widths of the charmonia $H_{\mathrm{c}}$ and ${\tilde{H}}_{\mathrm{c}}$ are evaluated by considering their kinematically allowed decay channels. In the case of the hybrid state $H_{\mathrm{c}}$, decays to $D^{(\pm )}{D}^{*(\mp )}$, $D^0{\overline{D}}^{*0}$, and $D_s^{(\pm )}{D}_s^{*(\mp )}$ mesons are taken into account. The processes ${\tilde{H}}_{\mathrm{c}}\to D^{(*)+}{D}^{(*)-}$, $D^{(*)0}{\overline{D}}^{(*)0}$, and $D_s^{(*)+}{D}_s^{(*)-}$ are employed to estimate the full width of the hybrid charmonium ${\tilde{H}}_{\mathrm{c}}$. The partial widths of these decays are computed by means of the QCD three-point sum rule method, which is necessary to calculate strong couplings at the relevant hybrid-meson-meson vertices. Our predictions $m=(4.16\pm 0.14)\mathrm{GeV}$ and $\tilde{m}=(4.5\pm 0.1)\mathrm{GeV}$ for the masses and $\mathrm{\Gamma }[H_{\mathrm{c}}]=(160\pm 30)\mathrm{MeV}$ and $\mathrm{\Gamma }[{\tilde{H}}_{\mathrm{c}}]=(206\pm 33)\mathrm{MeV}$ for the full width of these hybrid charmonia can be useful to study and interpret various resonances in the 4–5 GeV mass range.

Close

PrevNext

Reuse & PermissionsView figure in article

• 
• 
• 
• 

• Form factors
• Particle interactions
• Strong interaction
• Sum rules
• Exotic mesons
• Particle properties