### 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 nonperturbative long-distance NRQCD matrix elements. We present a calculation of the inclusive cross section for hadronic ψ production within the framework of the factorization formalism. Our method applies to the case in which the helicity of the ψ is not measured. In addition to the well-known color-singlet production mechanisms, there are equally important mechanisms in which the cc̄ pair that forms the Jl ψ is initially produced in a 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 faithfully follow the "matching" procedure, thereby shedding light on the NRQCD factorization formalism. We determine the short-distance coefficients appearing in the factorization formula, and we point out how one may systematically include relativistic corrections in these calculations.

Original language | English (US) |
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Pages (from-to) | 3608-3618 |

Number of pages | 11 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 54 |

Issue number | 5 |

Publication status | Published - Sep 1 1996 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*54*(5), 3608-3618.