Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-05-09
Nucl.Phys.A828:125-135,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, 1 figure and 4 tables. Numerical results slightly changed
Scientific paper
10.1016/j.nuclphysa.2009.06.021
In this work, we calculate the decay rates of the OZI-forbidden processes $J/\psi(\Upsilon)\to \pi\pi, \rho\pi$ at the order of the leading-twist distribution amplitude. The process of $J/\psi(\Upsilon)\to \pi^+ \pi^-$ violates isospin conservation and the amplitude is explicitly proportional to the isospin violation factor $m_u-m_d$, our numerical results on their decay rates are consistent with the data. The process $J/\psi(\Upsilon)\to \rho\pi$ violates the hadronic helicity conservation and should be suppressed, as indicated in literature, its decay rate can only be proportional to $m_q^2$ at the order of leading twist. Our theoretical evaluation confirms this statement that the theoretical evaluation on $\Gamma(J/\psi(\Upsilon)\to \rho\pi)$ is almost one order smaller than the data unless the model parameters take certain extreme values. It may imply that the sizable branching ratio of $J/\psi(\Upsilon)\to \rho\pi$ should be explained by either higher twist contributions or other mechanisms.
Li Tong
Li Xue-Qian
Zhao Shu-Min
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