Study Of The Twist Corrections Of Decay Ofχ_cJ→VV

In this paper, we discussed the high twist corrections of decay of χcJ→W in the pQCD scheme. Due to the large mass of quarks and small relative momentum for the c-quark bound state, we take the partial of the P-wave function at the origin Rp’(0),in the non-relativistic approximation as the non-perturbation parameters of hadronic matrix elements related to the initial P-wave charmonium. And then, the final vector-meson pairs were expanded by the two-partcile light-cone wavefunctions of the value quark consituents up to twist-4order.In the above scheme, we get the following results:take the mass of the charm quark mc∈(1.35～1.65)GeV,andgetbranchingratios (10-4) Br[χc0→(?)(?)]=14.838-6.65+12.526Br[χc0→k*k*]9.175-3.595+8.205;Br[χc1→(?)(?)]=24.139-9.76+12; Br[χc1→k*k*]=19.348-6.883+14.393^Br[χc2→(?)(?)]=7.07-2.72+6.91;Br[χc0→k*k*]=26.67-14.58+40.19. And then the experimental results are,Br[χc0→(?)(?)]=9.2±1.9; Br[χc0→(?)(?)]=14.812.8;Br[χc0→k*k*]=17±6; Br[χc1→k*k*]=15±4;Br[χc2→k*k*]=25±5fromPDG(10-4) and Br[χc0→(?)(?)]=8.0±03±0.8; Br[χc1→(?)(?)]=4.4±0.3±0.5;Br[χc2→(?)(?)]=10.7±0.7±1.2from BES Ⅲ (10-4). We find that our calculation results can fit the experimental data goodly. Especially, the χcl→VV decays are suppressed in the past literatures which only considered the contribution of leading-twist wavefunctions for the vector mesons. In our calculation, taking account of the contributions from high twist wavefunctions for the vector mesons, our theoretical predictions have the same order of magnitude with the experimental data from BESIII.