Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-03-21
Phys.Lett. B510 (2001) 161-166
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, Latex file, 5 EPS figures, 1) Just before summarizing our work, a paragraph is added to clarify the contribution of D
Scientific paper
10.1016/S0370-2693(01)00612-8
We study the exclusive decay of $1^{--}$ heavy quarkonium into one photon and two pions in the kinematic region, where the two-pion system has a invariant mass which is much smaller than the mass of heavy quarkonium. Neglecting effects suppressed by the inverse of the heavy quark mass, the decay amplitude can be factorized, in which the nonperturbative effect related to heavy quarkonium is represented by a non-relativistic QCD matrix element, and that related to the two pions is represented by a distribution amplitude of two gluons in the isoscalar pion pair. By taking the asymptotic form for the distribution amplitude and by using chiral perturbative theory we are able to obtain numerical predictions for the decay. Numerical results show that the decay of $\jpsi$ can be observed at BEPC and at CESR. Experiment observation of this process in this kinematic region at BEPC and CESR can provide information about how gluons are converted into the two pions and may supply a unique approach to study $ I = 0$ s-wave $\pi \pi$ scattering.
Ma Jian-Ping
Xu Jia-Sheng
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