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NRQCD factorization for twist-2 light-cone wave-functions of charmonia

2006/08/20 by Jian-Ping Ma, J. P. Ma, Zong-Guo Si +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.02.040

published as Phys.Lett.B647:419-426,2007 · 9 pages, 3 figures

arxiv created 2006/08/20 · openalex publication_date 2007/02/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the twist-2 light-cone wave-functions of etac and J/ψcan be factorized with nonrelativistic QCD(NRQCD) at one-loop level, where the nonperturbative effects are represented by NRQCD matrix elements. The factorization is achieved by expanding the small velocity v, which the c- or c- quark moves inside a rest quarkonium with. At leading order of v the twist-2 light-cone wave-functions of etac and J/ψcan be factorized as the product of a perturbative function and a NRQCD matrix element. The perturbative function is calculated at one-loop level and free from any soft divergence. Our results can be used for the production of J/ψηc through e+e- -annihilation and of a charmonium in B-decays, which are studied in experiment of two B-factories.

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