Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-03-30
Phys.Rev. D50 (1994) 3176-3180
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages LATEX ( plus 2 figures available on request) FERMILAB-PUB-94/040-T
Scientific paper
10.1103/PhysRevD.50.3176
The fragmentation functions for gluons to split into P-wave heavy quarkonium states are calculated to leading order in the QCD coupling constant. 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 heavy-quark-antiquark pair that is produced in a color-octet S-wave state to form a color-singlet P-wave bound state. The fragmentation probabilities for a high transverse momentum gluon to split into the P-wave charmonium states $\chi_{c0}$, $\chi_{c1}$, and $\chi_{c2}$ are estimated to be $0.4 \times 10^{-4}$, $1.8 \times 10^{-4}$, and $2.4 \times 10^{-4}$, respectively. This fragmentation process may account for a significant fraction of the rate for the inclusive production of $\chi_{cJ}$ at large transverse momentum in $p \bar p$ colliders.
Braaten Eric
Yuan Tzu Chiang
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