Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2001-09-07
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, Latex 2e file, 12 EPS figures (included). Replaced with version to appear in Eur. Phys. J. C,published online: 8 May
Scientific paper
10.1007/s100520200947
We study the exclusive decay of $J/\Psi$, $\Upsilon$ and $B_c$ into a lepton pair combined with two pions in the two kinematic regions. One is specified by the two pions having large momenta, but a small invariant mass. The other is specified by the two pions having small momenta. In both cases we find that in the heavy quark limit the decay amplitude takes a factorized form, in which the nonperturbative effect related to heavy meson is represented by a NRQCD matrix element. The nonperturbative effects related to the two pions are represented by some universal functions characterizing the conversion of gluons into the pions. Using models for these universal functions and chiral perturbative theory we are able to obtain numerical predictions for the decay widths. Our numerical results show that the decay of $\jpsi$ is at order of $10^{-5}$ with reasonable cuts and can be observed at BES II and the proposed BES III and CLEO-C. For other decays the branching ratio may be too small to be measured.
Ma Jian-Ping
Xu Jia-Sheng
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