Rigorous QCD predictions for decays ofP-wave quarkonia

1992/05/07 by Geoffrey T. Bodwin, Eric Braaten, G. Peter Lepage · 206 citations
Mathematics · Physics and Astronomy · #Algorithm #Factorization #Hadron #High-Energy Particle Collisions Research #Logarithm #Mathematical analysis #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.46.r1914

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 46(5), R1914-R1918 (American Physical Society) · 13 pages

arxiv created 1992/05/07 · openalex publication_date 1992/09/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Rigorous QCD predictions for the decay rates of the P-wave states of heavy quarkonia are presented. They are based on a new factorization theorem which is valid to leading order in the heavy-quark velocity and to all orders in the running coupling constant of QCD. The decay rates for all four P states into light-hadronic or electromagnetic final states are expressed in terms of two phenomenological parameters, whose coefficients are perturbatively calculable. Logarithms of the binding energy encountered in previous perturbative calculations of P-wave decays are factored into a phenomenological parameter that is related to the probability for the heavy-quark-antiquark pair to be in a color-octet S-wave state. Applying these predictions to charmonium, we use measured decay rates for the \ensuremathχ_c1 and \ensuremathχ_c2 to predict the decay rates of the \ensuremathχ_c0 and h_c.

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