2001/01/24 by T. Kopaleishvili
Physics and Astronomy · #hep-ph
published as Phys.Part.Nucl. 32 (2001) 560-588; Fiz.Elem.Chast.Atom.Yadra 32 (2001) 1061-1114 · 45 pages, 2 postscript figures, uses RevTeX style
arxiv created 2001/01/24 · arxiv updated 2009/11/30
Five different versions of the three-dimensional (3D) reduction of the Bethe-Salpeter (BS) equation in the instantaneous approximation for kernel of BS equation for the two-fermion systems are formulated. The normalization condition for the bound-state wave function in all versions are derived. Further, the 3D reduction of BS equation without instantaneous approximation for the kernel of BS equation is formulated in the quasi-potential approach. Except of the Salpeter version, other four versions have the correct one-body limit (Dirac equation) when mass of one of constituent fermions tends to infinity. Application of these versions for investigation of the different properties of the q bar q bound systems are considered.