Improved Determination of the Mass of the $1^{-+}$ Light Hybrid Meson From QCD Sum Rules

Abstract

We calculate the next-to-leading order (NLO) ${\alpha }_s$-corrections to the contributions of the condensates $<\alpha G^2>$ and $<\bar{q}q{>}^2$ in the current-current correlator of the hybrid current $g\barq(x)γ_νiF_{μν}^aT^aq(x)$ using the external field method in Feynman gauge. After incorporating these NLO contributions into the Laplace sum-rules, the mass of the $J^{PC}$=$1^{-+}$ light hybrid meson is recalculated using the QCD sum rule approach. We find that the sum rules exhibit enhanced stability when the NLO ${\alpha }_s$-corrections are included in the sum rule analysis, resulting in a $1^{-+}$ light hybrid meson mass of approximately 1.6 GeV.

revtex4, 10 pages, 7 eps figures embedded in manuscript

References in corpus (14)

• The Production and Decay of Hybrid Mesons by Flux-Tube Breaking
• Evidence for Exotic Meson Production in the Reaction ${\pi }^{-}p\to \eta {\pi }^{-}p$ at 18 GeV/c
• Exotic mesons in quenched lattice QCD
• Hybrid Meson Decay Phenomenology
• Hybrid mesons from quenched QCD
• Observation of exotic meson production in the reaction ${\pi }^{-}p\to {\eta }^{\prime }{\pi }^{-}p$ at 18 GeV/c
• Hybrid meson decay from the lattice
• Light Hybrid Mesons in QCD
• Hybrid and Orbitally Excited Mesons in Full QCD
• Gluonia, Scalar and Hybrid Mesons in QCD
• Heavy quarkonia mass-splittings in QCD: test of the $1/m$-expansion and estimates of $<{\alpha }_s{G}^2>$ and ${\alpha }_s$
• Hadronic Spectroscopy from the Lattice: Glueballs and Hybrid Mesons
• Radiative correction of the correlator for (0^{++},1${}^{-+}$) light hybrid
• Decays of the $\hat{\rho }(1^{-+})$ Exotic Hybrid and $\eta$-${\eta }^{\prime }$ Mixing

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