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Bound q bar q systems in the framework of different versions of 3D reductions of the Bethe-Salpeter equation

T. Kopaleishvili
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Abstract

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.

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T. Kopaleishvili. 2001-01-24. Bound q bar q systems in the framework of different versions of 3D reductions of the Bethe-Salpeter equation. https://arxiv.org/abs/hep-ph/0101271

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