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arXiv · 0910.3311

The two-pseudoscalar-meson decay of $χ_{cJ}$ with twist-3 corrections

Ming-Zhen Zhou·Hai-Qing Zhou
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Abstract

The decays of $χ_{cJ} \to π^+π^-, K^+K^-$ $(J=0,2)$ are discussed within the standard and modified hard scattering approach when including the contributions from twist-3 distribution amplitudes and wave functions of the light pseudoscalar meson. A model for twist-2 and twist-3 distribution amplitudes and wave functions of the pion and kaon with BHL prescription are proposed as the solution to the end-point singularities. The results show that the contributions from twist-3 parts are actually not power suppressed comparing with the leading-twist contribution. After including the effects from the transverse momentum of light meson valence-quark state and Sudakov factors, the decay widths of the $χ_{cJ}$ into pions or kaons are comparable with the their experimental data.

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Ming-Zhen Zhou, Hai-Qing Zhou. 2009-11-07. The two-pseudoscalar-meson decay of $χ_{cJ}$ with twist-3 corrections. https://doi.org/10.1103/physrevd.80.094021

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