Hadronic production of the P-wave excited Bc states (BcJ,L=1*)

Adopting the complete αs4 approach of the perturbative QCD and the updated parton distribution functions, we have estimated the hadronic production of the P-wave excited Bc states (BcJ,L=1*). In the estimate, special care has been paid to the dependence of the production amplitude on the derivative of the wave function at origin which is obtained by the potential model. For experimental references, main theoretical uncertainties are discussed, and the total cross section as well as the distributions of the production with reasonable cuts at the energies of Tevatron and CERN LHC are computed and presented properly. The results show that the P-wave production may contribute to the Bc-meson production indirectly by a factor of about 0.5 of the direct production, and according to the estimated cross section, it is further worthwhile to study the possibility of observing the P-wave production itself experimentally