https://doi.org/10.1140/epjc/s10052-015-3528-0
Regular Article - Theoretical Physics
The 
, 
decays in the perturbative QCD approach
1
College of Sciences, North China University of Science and Technology, Tangshan, 063009, China
2
Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, Shanxi, China
3
Center for Future High Energy Physics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China
* e-mail: jindui1127@126.com
** e-mail: zhourui@ncst.edu.cn
Received:
17
May
2015
Accepted:
17
June
2015
Published online:
27
June
2015
Nonleptonic two-body 
decays including radially excited 
or 
mesons in the final state are studied using the perturbative QCD approach based on 
factorization. The charmonium distribution amplitudes are extracted from the 
Schrödinger states for the harmonic oscillator potential. Utilizing these distribution amplitudes, we calculate the numerical results of the 
transition form factors and branching fractions of 
decays. The ratio between two decay modes and 
is compatible with the experimental data within uncertainties, which indicates that the harmonic-oscillator wave functions for and work well. It is found that the branching fraction of 
, which is dominated by the twist-3 charmonium distribution amplitude, can reach the order of 
. We hope it can be measured soon in the LHCb experiment.
© The Author(s), 2015
