Relativistic corrections to ϒ exclusive decay into double S-wave charmonia

Wen-Long Sang, Feng Feng, and Yu-Qi Chen
Phys. Rev. D 92, 014025 – Published 24 July 2015

Abstract

Within the framework of nonrelativisitic QCD factorization formalism, we present the next-to-leading-order relativistic corrections to ϒ exclusive decay into ηc plus J/ψ. The double charmonia can be produced through several immediate channels, i.e., ϒg*g*g*ηc+J/ψ, ϒg*g*γ*ηc+J/ψ, and ϒγ*ηc+J/ψ. The amplitudes of these three channels are obtained accurate up to O(αs3v2), O(ααs2v2), and O(ααs2v2), respectively, where v indicates the typical heavy quark velocity in bottomonium and/or charmonium rest frame. The decay rates are also presented. We find that the next-to-leading-order relativistic corrections to the short-distance coefficients as well as the decay rates are both significant and negative, especially for the corrections from bottomonium. More seriously, the decay rates are even brought into negative by including the relativistic corrections, which indicates the poor convergence for the velocity expansion in this kind of process. Detailed analysis is given in the paper.

  • Figure
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  • Received 6 February 2015

DOI:https://doi.org/10.1103/PhysRevD.92.014025

© 2015 American Physical Society

Authors & Affiliations

Wen-Long Sang1,2,*, Feng Feng3,2, and Yu-Qi Chen2

  • 1School of Physical Science and Technology, Southwest University, Chongqing 400700, China
  • 2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3China University of Mining and Technology, Beijing 100083, China

  • *F.Feng@outlook.com

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Issue

Vol. 92, Iss. 1 — 1 July 2015

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