Radiative Decay of ${\rm Y}$ into a Scalar Glueball

Abstract

We study the radiative decay of ${\rm Y}$ into a scalar glueball ${\rm Y}\to \gamma G_s$ using QCD factorization. We find that for this process the non-perturbative effects can be factorized into a matrix element well defined in non-relativistic QCD (NRQCD) and the gluon distribution amplitude. The same NRQCD matrix element appears also in leptonic decay of ${\rm Y}$ and therefore can be determined from data. In the asymptotic limit the gluon distribution amplitude is known up to a normalization constant. Using a QCD sum-rule calculation for the normalization constant, we obtain $Br({\rm Y}\to \gamma G_s)$ to be in the range $(1\sim 2)\times 10^{-3}$. We also discuss some of the implications for ${\rm Y}\to \gamma f_i$ decays. Near future data from CLEO-III can provide crucial information about scalar glueball properties.

RevTex, 12 pages no figures. Several numerical errors corrected

References in corpus (5)

• Scalar Glueball-qqbar Mixing above 1 GeV and implications for Lattice QCD
• Reexamining radiative decays of $1^{--}$ quarkonium into ${\eta }^{\prime }$ and $\eta$
• Further Experimental Studies of Two-Body Radiative ΥDecays
• Search for the Decay ${\rm Y}(1S)\to \gamma {\eta }^{{}^{\prime }}$
• The Proposed CLEO-c Program and R Measurement Prospects

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• Study of ${\rm Y}(1S)$ Radiative Decays to $\gamma {\pi }^{+}{\pi }^{-}$ and $\gamma K^{+}{K}^{-}$
• Factorization for radiative heavy quarkonium decays into scalar Glueball
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• f_0(1710) production in exclusive B decays