Peculiarities in the Structure of Two-Particle States within the Bethe-Salpeter Approach

Details Peculiarities in the Structure of Two-Particle States within the Bethe-Salpeter Approach Peculiarities in the Structure of Two-Particle States within the Bethe-Salpeter Approach

2006-11-06

arxiv.org/abs/nucl-th/0611012v1

Physics

Nuclear Physics

Nuclear Theory

contribution to XVIII International Baldin Seminar Relativistic Nuclear Physics and Quantum Chromodynamics, 6 pages, 4 figures

Scientific paper

The two-fermion bound system is an attractive subject of atomic and sub-atomic physics. Despite these systems are rather simple the study of two-particle bound states is challenging and still remains a source of progress in quantum theory. Here we present a new method of solving the Bethe Salpeter equations for the bound states of spinor particles by using the expansion of the vertex functions over the complete set of four-dimensional hyperspherical harmonics. Within this method the BS equation is treated in a ladder approximation for the cases of scalar, pseudoscalar and vector meson exchanges with corresponding form factors. This method is shown to be effective and stable.

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