### Abstract

We hypothesize that the correct power counting for charmonia is in the parameter (Formula presented) but is not based purely on dimensional analysis (as is heavy quark effective theory). This power counting leads to predictions which differ from those resulting from the usual velocity power counting rules of non-relativistic QCD (NRQCD). In particular, we show that while (Formula presented) power counting preserves the empirically verified predictions of spin symmetry in decays, it also leads to new predictions which include a hierarchy between spin singlet and triplet octet matrix elements in the (Formula presented) system, a quenching of the net polarization in production at large transverse momentum, and no end point enhancement in radiative decays. We discuss explicit tests which can differentiate between the traditional and new theories of NRQCD.

Original language | English (US) |
---|---|

Number of pages | 1 |

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

Volume | 64 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

**Power counting and effective field theory for charmonium.** / Fleming, Sean P; Rothstein, I. Z.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 64, no. 3. https://doi.org/10.1103/PhysRevD.64.036002

}

TY - JOUR

T1 - Power counting and effective field theory for charmonium

AU - Fleming, Sean P

AU - Rothstein, I. Z.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - We hypothesize that the correct power counting for charmonia is in the parameter (Formula presented) but is not based purely on dimensional analysis (as is heavy quark effective theory). This power counting leads to predictions which differ from those resulting from the usual velocity power counting rules of non-relativistic QCD (NRQCD). In particular, we show that while (Formula presented) power counting preserves the empirically verified predictions of spin symmetry in decays, it also leads to new predictions which include a hierarchy between spin singlet and triplet octet matrix elements in the (Formula presented) system, a quenching of the net polarization in production at large transverse momentum, and no end point enhancement in radiative decays. We discuss explicit tests which can differentiate between the traditional and new theories of NRQCD.

AB - We hypothesize that the correct power counting for charmonia is in the parameter (Formula presented) but is not based purely on dimensional analysis (as is heavy quark effective theory). This power counting leads to predictions which differ from those resulting from the usual velocity power counting rules of non-relativistic QCD (NRQCD). In particular, we show that while (Formula presented) power counting preserves the empirically verified predictions of spin symmetry in decays, it also leads to new predictions which include a hierarchy between spin singlet and triplet octet matrix elements in the (Formula presented) system, a quenching of the net polarization in production at large transverse momentum, and no end point enhancement in radiative decays. We discuss explicit tests which can differentiate between the traditional and new theories of NRQCD.

UR - http://www.scopus.com/inward/record.url?scp=85037909282&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037909282&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.64.036002

DO - 10.1103/PhysRevD.64.036002

M3 - Article

AN - SCOPUS:85037909282

VL - 64

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 3

ER -