2007/08/16 by S. M. Dorkin, M. Beyer, S. S. Semikh +1 · 1 citation
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph #nucl-th
paper · pdf · doi:10.1007/s00601-008-0196-8
published as FewBodySyst.42:1-32,2008 · 32 pages, XIII Tables, 8 figures
arxiv created 2007/08/16 · openalex publication_date 2008/05/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
To solve the spinor-spinor Bethe-Salpeter equation in Euclidean space we propose a novel method related to the use of hyperspherical harmonics. We suggest an appropriate extension to form a new basis of spin-angular harmonics that is suitable for a representation of the vertex functions. We present a numerical algorithm to solve the Bethe-Salpeter equation and investigate in detail the properties of the solution for the scalar, pseudoscalar and vector meson exchange kernels including the stability of bound states. We also compare our results to the non relativistic ones and to the results given by light front dynamics.