Heavy Quark Fragmentation Functions for D-wave Quarkonium and Charmed Beauty Mesons

At the large transverse momentum region, the production of heavy-heavy bound-states such as charmonium, bottomonium, and b̄c mesons in high energy e+e− and hadronic collisions is dominated by parton fragmentation. We calculate the heavy quark fragmentation functions into the D-wave quarkonium and b̄c mesons to leading order in the strong coupling constant and in the non-relativistic expansion. In the b̄c meson case, one set of its D-wave states is expected to lie below the open flavor threshold. The total fragmentation probability for a b̄ antiquark to split into the D-wave b̄c mesons is about Internet address: [email protected] Internet address: [email protected] 2× 10−5, which implies that only 2% of the total pseudo-scalar ground state Bc comes from the cascades of these orbitally excited states.