Revisit the heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers
Ding-Kun Lian,
Qi-Nan Wang,
Xu-Liang Chen
et al.
Abstract:We revisit the masses of heavy quarkonium double-gluon hybrid mesons with exotic quantum numbers JPC = 1−+ and 2+− in the framework of the QCD sum rules. Considering the double-gluon hybrid meson operators in the octet-octet color structure, we have constructed two independent interpolating currents with JPC = 1−+ and five independent currents with JPC = 2+−. For the interpolating currents with antisymmetric glueball operator, there exist non-local divergences in one kind of additional Feynman diagrams of the … Show more
We study the masses of light tetraquark states udu¯d¯, usu¯s¯, and sss¯s¯ with exotic quantum numbers JPC=2+− using the method of QCD sum rules. It is found that there is no tetraquark operator with two Lorentz indices coupling to the 2+− quantum numbers. To investigate such tetraquark states, we construct the interpolating tetraquark currents with three Lorentz indices and without a derivative operator. We calculate the correlation functions up to dimension-ten condensates and extract the 2+− invariant functions via the projector operator. Our results show that the masses of the udu¯d¯, usu¯s¯, and sss¯s¯ tetraquark states with JPC=2+− are about 3.3–3.5, 3.5–3.7, and 3.67 GeV, respectively. We further discuss the strong decays of these light tetraquarks into the two-meson and baryon-antibaryon final states and suggest to search for them in the ρπ, ωπ, ϕπ, b1π, h1π, KK¯*, KK¯1, ΔΔ¯, Σ*Σ¯*, Ξ*Ξ¯*, and ΩΩ¯ channels in the future.
Published by the American Physical Society
2024
We study the masses of light tetraquark states udu¯d¯, usu¯s¯, and sss¯s¯ with exotic quantum numbers JPC=2+− using the method of QCD sum rules. It is found that there is no tetraquark operator with two Lorentz indices coupling to the 2+− quantum numbers. To investigate such tetraquark states, we construct the interpolating tetraquark currents with three Lorentz indices and without a derivative operator. We calculate the correlation functions up to dimension-ten condensates and extract the 2+− invariant functions via the projector operator. Our results show that the masses of the udu¯d¯, usu¯s¯, and sss¯s¯ tetraquark states with JPC=2+− are about 3.3–3.5, 3.5–3.7, and 3.67 GeV, respectively. We further discuss the strong decays of these light tetraquarks into the two-meson and baryon-antibaryon final states and suggest to search for them in the ρπ, ωπ, ϕπ, b1π, h1π, KK¯*, KK¯1, ΔΔ¯, Σ*Σ¯*, Ξ*Ξ¯*, and ΩΩ¯ channels in the future.
Published by the American Physical Society
2024
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