Hadronic $\psi$ production calculated in the NRQCD factorization formalism

Abstract

The NRQCD factorization formalism of Bodwin, Braaten, and Lepage prescribes how to write quarkonium production rates as a sum of products of short-distance coefficients times non-perturbative long-distance NRQCD matrix elements. We present, in the true spirit of the factorization formalism, a detailed calculation of the inclusive cross section for hadronic $\psi$ production. We find that in addition to the well known {\it color-singlet} production mechanisms, there are equally important mechanisms in which the $c\bar{c}$ pair that forms the $\psi$ is initially produced in a {\it color-octet} state, in either a ${}^3{S}_1$, ${}^1{S}_0$, ${}^3{P}_0$ or ${}^3{P}_2$ angular-momentum configuration. In our presentation, we emphasize the ``matching'' procedure, which %is the method that allows us to determine the short-distance coefficients appearing in the factorization formula. We also point out how one may systematically include relativistic corrections in these calculations.

25 pages, 3 postscript figures, use Revtex and epsfig.sty We fixed some typos, added some text regarding a reference, and changed some equations. The file will be available at http://phenom.physics.wisc.edu/

References in corpus (5)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• Color-octet quarkonia production II
• Commensurate Scale Relations in Quantum Chromodynamics
• Color-Octet Contributions to $J/\psi$ Photoproduction
• Color-Octet ${\psi }^{\prime }$ Production at Low $p_{\perp }$

Cited by in corpus (23)

• NLO Production and Decay of Quarkonium
• Color-octet mechanism in $\gamma +p\to J/\psi +X$
• Helicity Decomposition for Inclusive $J/\psi$ Production
• Quarkonium Photoproduction at Next-to-leading Order
• Leptoproduction of J/psi
• Photoproduction of J/$\psi$ in the forward region
• J/ΨProduction in pp Collisions at \sqrt s = 200 GeV at RHIC
• Colour-octet Contributions to J/psi Hadroproduction at Fixed Target Energies
• Color-Octet $J/\psi$ Production at Low $p_{\perp }$
• Hybrid Charmonium Production in B Decays
• Linearly polarized gluons in charmonium and bottomonium production in color octet model
• NRQCD matrix elements in polarization of J-Psi produced from b-decay
• Flavor Changing processes in Quarkonium Decays
• Color-Octet Contributions to J/psi Photoproduction via Fragmentation at HERA
• Colour-octet Contributions to $x_F$ Distributions in $J/\psi$ Hadro-production at Fixed Target Energies
• Color-Octet Contributions in the Associate J/psi+gamma Hadroproduction
• Inclusive J/psi production in Upsilon decay via color-octet mechanisms
• Colour Octet Contribution in Exclusive P-Wave Charmonium Decay into Proton-Antiproton
• Momentum Distribution in the Decay B-->J/psi+X
• Photoproduction of h_c
• J/Psi and Psi' Polarizations in Polarized Proton-Proton Collisions at the RHIC
• Color-Octet Fraction in J/Psi Production and Absorption
• The Color Singlet Relativistic Correction in $J/\psi$ Photoproduction