Production of a pion pair in radiative decay of 1−− heavy quarkonium
Talk presented by Jia-Sheng Xu at the “1st International Conference on Flavor Physics 21st Century” (ICFP2001), May 31-June 6, 2001, Zhang-Jia-Jie City, Hunan, China.
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 non-perturbative 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. Experiment observation of this process can provide information about how gluons are converted into the two pions and may provide an interesting place to study I = 0 s-wave ππ scattering.