Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-05-21
Phys.Rev.D50:5664-5675,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
31 pages, Latex file, 1 figure (postscript file appended at the end)
Scientific paper
10.1103/PhysRevD.50.5664
We calculate the leading order QCD fragmentation functions for the production of $P$-wave charmed beauty mesons. Long-distance effects are factored into two nonperturbative parameters: the derivative of the radial wavefunction at the origin and a second parameter related to the probability for a $(\bar b c)$ heavy quark pair that is produced in a color-octet $S$-wave state to form a color-singlet $P$-wave bound state. The four $2P$ states and those $3P$ states which lie below the $BD$ flavor threshold eventually all decay into the $1S$ ground state $B_c$ through hadronic cascades or by emitting photons. The total fragmentation probabilities for production of the $1S$ ground state $B_c$ from the cascades of the $2P$ and $3P$ states are about $1.7 \times 10^{-4}$ and $2.3 \times 10^{-4}$ respectively. Thus the direct production of the $P$-wave states via fragmentation may account for a significant fraction of the inclusive production rate of the $B_c$ at large transverse momentum in high energy colliders. Our analytic results for the $P$-wave fragmentation functions disagree with those obtained earlier in the literature.
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