Relativistic corrections to $\psi (nS)\to \rho \pi$ exclusive decays and their role in the understanding of the $\rho \pi$-puzzle

Abstract

We study relativistic corrections to exclusive $S$-wave charmonium decays into $\rho \pi$ and $\gamma \pi$ final states. The contribution of relative order $v^2$ and the set of associated higher order corrections are calculated using NRQCD and collinear factorisation framework. Numerical estimates show that the dominant effect is provided by the corrections of relative order $v^2$. The numerical values of these contributions are of the same order as the leading-order ones. These results suggest a scenario where the sum of relativistic and radiative QCD corrections could explain the $\rho \pi$-puzzle.

arXiv comment15 pages, 1 figure, few typos are corrected, the text is improved and the discussion $\gamma \pi$ is extended. Accepted for publication in Phys.Rev.D

References in corpus (14)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Quarkonium Wave Functions at the Origin
• Higher-Twist Distribution Amplitudes of the K Meson in QCD
• Exclusive Double-Charmonium Production from e^+ e^- Annihilation into a Virtual Photon
• Photon Distribution Amplitudes in QCD
• Twist-3 Distribution Amplitudes of K* and phi Mesons
• Order-v^4 Corrections to S-wave Quarkonium Decay
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Resummation of Relativistic Corrections to e+ e- -> J/psi+eta_c
• Potential-model calculation of an order-v^2 NRQCD matrix element
• A possible hadronic excess in psi(2S) decay and rho-pi puzzle
• An Explanation for the rho-pi Puzzle of J/psi and psi' Decays
• Erratum: Order-v^4 corrections to S-wave quarkonium decay [Phys. Rev. D 66, 094011 (2002)]

Cited by in corpus (1)

• Khuri-Treiman analysis of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$