Production of the Bc Meson

The production of the Bc and mesons was studied in the framework of the factorization formalism and perturbative QCD. Predicted results implied that an observable number of Bc and events can be produced at LEP I and at Tevatron. The fragmentation approximation describes the production of the Bc and mesons very well in high energy e+ e- collisions. In hadronic collisions, it is valid when and only when the transverse momentum PT of the produced Bc and is much larger than the mass of the Bc meson.