2008/11/30 by Chien-Wen Hwang · 1 citation
Physics and Astronomy · #Amplitude #Constant (computer programming) #Distribution (mathematics) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #Quark model #Quarkonium #Transverse plane #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-009-1046-7
published as Eur.Phys.J.C62:499-509,2009 · 22 pages, 6 figures, some typos are corrected, version for publish in EPJC
arxiv created 2009/05/21 · openalex publication_date 2009/05/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, the quark distribution amplitudes of 1S and 2S heavy quarkonium states are studied in terms of Gaussian-type wave functions. The transverse momenta p_⊥ integrals of the formulae for the decay constant are performed analytically. Then the quark distribution amplitudes are obtained. In addition, the ξ-moments are also calculated. After fixing the relevant parameters appearing in the quark distribution amplitude, the curves of the quark distribution amplitude for 1S and 2S heavy quarkonium states are plotted. Finally, the numerical results of this approach are compared with the other theoretical predictions.