2010/03/31 by Chien-Wen Hwang · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Distribution (mathematics) #High-Energy Particle Collisions Research #Light cone #Mathematical analysis #Mathematics #Meson #Omega #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.81.114024
published as Phys.Rev.D81:114024,2010 · 25 pages, 3 figures, 4 tables, some typos are corrected, version to be published in Phys. Rev. D
openalex publication_date 2010/06/16 · arxiv created 2010/06/17 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, a study of light-cone distribution amplitudes (LCDAs) for s-wave heavy meson are presented in both general and heavy quark frameworks. Within the light-front approach, the leading twist light-cone distribution amplitudes, \ensuremathφM(u), and their relevant decay constants of heavy pseudoscalar and vector mesons, fM, have simple relations. These relations can be further simplified when the heavy quark limit is taken into consideration. After fixing the parameters that appear in both Gaussian and power-law wave functions, the corresponding decay constants are calculated and compared with those of other theoretical approaches. The curves and the first six \ensuremathξ-moments of \ensuremathφM(u) are plotted and estimated. A conclusion is drawn from these results: Even though the values of the decay constants of the distinct mesons are almost equal, the curves of their LCDAs may have quite large differences, and vice versa. Additionally, in the heavy quark limit, the leading twist LCDAs, \ensuremathΦQq(\ensuremathω) and \ensuremathΦQq(\ensuremathω), are compared with the B-meson LCDAs, \ensuremathψ+(\ensuremathω), suggested by the other theoretical groups.