CCAST, World Lab, Beijing 100080, Peoples R China
; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
; Inst High Energy Phys, Beijing 100049, Peoples R China
; Chinese Acad Sci, Grad Sch, Dept Phys, Beijing 100049, Peoples R China
The contributions from the color-octet components |(c (b) over bar)(8)(S-1(0))g > and |(c (b) over bar)(8)(S-3(1))g > to the h(Bc) or chi(Bc)(J) (the P-wave B-c meson) hadroproduction are estimated in terms of the complete O(alpha(s)(4)) calculation. As necessary inputs in the estimate, we take the values of the octet matrix elements according to the nonrelativistic quantum chromodynamics scaling rules, and as a result, we have found that the contributions to the P-wave production may be the same in order of magnitude as those from the color-singlet ones, |(c (b) over bar)(1)(P-1(1))> and |(c (b) over bar)(1)(P-3(J))> (J=1,2,3). Especially, our result indicates that the observation of the color-octet contributions to the P-wave production in the low transverse momentum region is not very far from the present experimental capability at Tevatron and LHC.