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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 mesons in high
energy and hadronic collisions is dominated by parton fragmentation.
We calculate the heavy quark fragmentation functions into the D-wave quarkonium
and mesons to leading order in the strong coupling constant and in
the non-relativistic expansion. In the meson case, one set of its
D-wave states is expected to lie below the open flavor threshold. The total
fragmentation probability for a antiquark to split into the D-wave
mesons is about , which implies that only 2\% of
the total pseudo-scalar ground state comes from the cascades of these
orbitally excited states.Comment: 26 pages in RevteX and 3 figures in postscript. Also available at
http://www.ph.utexas.edu/~cheung/paper.htm