Light double-gluon hybrid states

Abstract

We investigate light hybrid mesons composed of a light quark-antiquark pair and two gluons within the framework of QCD sum rules. We focus on states with quantum numbers $J^{\mathrm{PC}} = 0^{++}, 0^{+-}, 0^{-+}, 0^{--}$ and $J^{\mathrm{PC}} = 1^{++}, 1^{+-}, 1^{-+}, 1^{--}$. By employing various interpolating currents constructed from valence light quarks and gluon fields, we determine the masses and current couplings of the $\bar{q}GGq$, $\bar{q}GGs$, and $\bar{s}GGs$ hybrid configurations. Nonperturbative effects are incorporated through quark and gluon condensates up to dimension twelve in the operator product expansion, improving the reliability of the numerical predictions. The results presented here may provide useful input for future experimental searches for light hybrid mesons and can also serve as a basis for studies of their decay properties and interactions with other hadronic states.

Figures (4)

• Figure 1: The mass $m_{H}$ as a function of the Borel parameter $M^{2}$ for different values of $s_{0}$. The two vertical lines indicate the boundaries of the Borel window, within which the constraints imposed on $\Pi(M^{2},s_{0})$ are satisfied.
• Figure 2: Pole contribution $\mathrm{PC}$ as a function of $M^{2}$ at fixed $s_{0}$.
• Figure 3: The mass of the $\bar{q}GGq$ hybrid meson as functions of $M^2$ and $s_0$.
• Figure 4: The current coupling of the $\bar{q}GGq$ hybrid meson as functions of $M^2$ and $s_0$.