; Wang, Jian-Xiong] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [He, Zhi-Guo
; Wang, Jian-Xiong] Chinese Acad Sci, Ctr Theoret Phys, Sci Facil, Beijing 100049, Peoples R China
; [He, Zhi-Guo] Univ Barcelona, Fac Fis, Dept Estruct & Constituents Mat, E-08028 Barcelona, Catalonia, Spain
; [He, Zhi-Guo] Univ Barcelona, Inst Ciencies Cosmos, E-08028 Barcelona, Catalonia, Spain
To clarify the conflict between the theoretical predictions and experimental measurements of the inclusive J/psi production in gamma decay, we consider the alpha(6)(s) order color-singlet (CS) contributions of processes gamma -> J/psi + gg and gamma -> J/psi + gggg. Both the branching ratio and the J/psi momentum spectrum are calculated, and the branching ratio (4.7 x 10(-4)) is larger than the leading- order contribution (alpha(5)(s), gamma -> J/psi + c (c) over barg). Together with the QCD and QED leading- order contributions considered in our previous work, the CS prediction of the branching ratio for the direct J/psi production is Br(gamma -> J/psi(direct) + X) = 0.90(-0.31)(+0.49) X 10(-4), which is still about 3.8 times less than the CLEO measurement. We also obtain a preliminary CS prediction of R-cc = B(gamma -> J/psi + c (c) over bar + X)/B(gamma -> J/psi + X) and find that the value of 0.39(-0.20)(+0.21) is much larger than the color-octet prediction, and suggest to measure this quality in future experimental analysis.