2006/07/31 by Z. G. Wang, Shaolong Wan, S. L. Wan
Physics and Astronomy · #Bethe–Salpeter equation #Bound state #Center of mass (relativistic) #Chiral symmetry breaking #Constant (computer programming) #Energy–momentum relation #High-Energy Particle Collisions Research #Mathematical physics #Meson #Momentum (technical analysis) #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #hep-ph
paper · pdf · doi:10.1103/physrevc.76.025207
published as Phys.Rev.C76:025207,2007 · 12 pages, 3 figures, to appear in Phys.Rev.C
arxiv created 2007/07/12 · openalex publication_date 2007/08/13 · arxiv updated 2009/12/01 · openalex created_date 2017/04/07 · openalex updated_date 2026/08/05
In this article, we study the structure of the \ensuremathρ meson in the framework of the coupled rainbow Schwinger-Dyson equation and ladder Bethe-Salpeter equation with a confining effective potential. The u and d quark propagators get significantly modified, the mass poles are absent in the timelike region, which implements confinement naturally. The Bethe-Salpeter amplitudes of the \ensuremathρ meson center around zero momentum and extend to the energy scale about q2=1\phantom\rule0.3em0exGeV2, which happens to be the energy scale of chiral symmetry breaking, strong interactions in the infrared region result in bound state. The numerical results of the mass and decay constant of the \ensuremathρ meson are in agreement with the experimental data.