Study Of The Decay Of χ_CJâ†'Ï€⁺Ï€_-/k⁺k_- And The Wave Function Of Pseudoscalar Meson

According to the scheme of KT factorization in perturbation QCD, we discussed the twist-3 corrections of decay of χc0.2â†'Ï€+Ï€-/k+k- detailedly. For the non-perturbation parameters of hadronic matrix elements related to the initial state of P-wave charmonium, we used the zero point wavefunction RP’(0) in the non relativistic approximation. For the final state of pseudoscalar meson, we expand the hadronic matrix elements with different twist light-cone wave functions to the highest order for the two-partice twist-3 wavefunction. Especially for the twist-3 wave functions ψπ,κΡ,σ(x,k⊥), we reconstruct it with the help of the moments of which come from the QCD sum rule and then give out the relevant non-perturbed parameters and the coefficients of wave functions.According to the above scheme, we get the following results:(1)Our twist-3 wave functions ψπ,κΡ,σ(x,k⊥) have better end point behavior. For example, the prediction for the decay width of χ2â†'κ+κ-(T= 2.15 ±0.25 KeV) is comparable with experimental data in the region mc ∈(1.5,1.8)Geν. (2) The end-point singularity coming from wave functions can be cured by the Sudakov factor e-s. In stance, when we take into account the asymptotic behavior of distribution amplitudes in our calculation, the result of χ2â†'Ï€+Ï€- accords with experimental data in the region mc∈(1.4,1.6)GeV. (3) In our calculation the results show that the contributions from twist-3 parts are actually not power suppressed comparing with the leading-twist contribution in these decays.