Perturbative QCD predictions for the fragmentation functions of theP-wave mesons with two heavy quarks

The fragmentation functions for the heavy mesons of S and P waves are calculated in the framework of perturbative QCD and the nonrelativistic quark model. The results are manifestly process independent. As applications, the production ratios for P-wave b̄c mesons to the bb̄ production at high energy colliders are predicted. The spin dependence of the fragmentation functions for various states is discussed and the predicted results for the D (D*) mesons are consistent with the recent experimental data.