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Gluon fragmentation into P wave heavy quarkonium

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
  2. Univ. of California, Davis, CA (United States)

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.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
DOE Contract Number:
AC02-07CH11359
OSTI ID:
1155563
Report Number(s):
hep-ph/9403401
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 50; ISSN PRVDAQ; ISSN 0556-2821
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English

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