G. Daylan Esmer | Searcharxiv

arXiv2026

Light double-gluon hybrid states

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.

hep-ph↗

arXiv2025

Decays of the light hybrid meson $1^{\mathrm{-+}}$

The full width of the light isovector hybrid meson $H_{\mathrm{V}}$ with spin-parities $1^{\mathrm{-+}}$ and content $(\overline{u}gu-\overline{d}gd)/ \sqrt{2}$ is evaluated by considering the decays $H_{\mathrm{V}} \to ρ^{\pm}π^{\mp}$, $b_1^{\pm}π^{\mp}$, $f_1(1285)π$, $f_1(1420)π$, $ ηπ$, and $η^{\prime} π$. To calculate the partial widths of these channels, we use QCD three-point sum rule method which is necessary to determine strong couplings at the corresponding hybrid-meson-meson vertices. It turns out that the main contribution to the full width $Γ[H_{\mathrm{ V}}]=(109.7 \pm 16.0)~\mathrm{MeV}$ of the hybrid meson comes from the processes $H_{\mathrm{V}} \to ρ^{\pm}π^{\mp}$ partial width of which amounts to $\approx 67~\mathrm{MeV}$. The effects of the decays $H_{\mathrm{V }} \to b_1π$ and $H_{\mathrm{V}} \to f_1π, f_1^{\prime} π$ are also sizeable: Their partial widths are equal to $13~\mathrm{MeV}$ and $20~ \mathrm{MeV}$, respectively. The decays to $ηπ$ and $η^{\prime} π$ mesons are subdominant reactions, nevertheless they form $\approx 9\%$ of the full width $Γ[H_{\mathrm{V}}]$. Results obtained in this work may be interesting to unravel the tangle of predictions about $H_{\mathrm{V}}$ existing in the literature, as well as useful in analyses of different resonances.

hep-ph↗