Updated study of the $η_c$ and $η_c^\prime$ decays into light vector mesons

Physics – High Energy Physics – High Energy Physics - Phenomenology

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11 pages, 4 eps figures; Improved formulation based on 1010.1343[hep-ph]; Revised version accepted by Phys. Lett. B

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We re-investigate the exclusive decays of $\eta_c$ and $\eta_c^\prime$ to a pair of light vector mesons, i.e. $\eta_c (\eta_c')\to VV$. The long-distance intermediate meson loop (IML) effects are evaluated as a non-perturbative mechanism in addition to the short-distance $c\bar{c}$ annihilation contributions. We show that both processes can be reasonably well constrained with the help of the available experimental data. Since $\eta_c$ and $\eta_c'$ are the spin-0 partners of $J/\psi$ and $\psi'$, respectively, our study is useful for gaining insights into the pQCD helicity selection rule violations in charmonium decays and the long-standing "$\rho\pi$ puzzle".

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