Relativistic two-body equation based on the extension of the SL(2,C) group

D. A. Kulikov; R. S. Tutik; A. P. Yaroshenko

doi:10.1016/j.physletb.2006.11.068

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arXiv · hep-th/0701271

Relativistic two-body equation based on the extension of the SL(2,C) group

D. A. Kulikov·R. S. Tutik·A. P. Yaroshenko

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Abstract

A new approach to the two-body problem based on the extension of the $SL(2,C)$ group to the $Sp(4,C)$ one is developed. The wave equation with various forms of including the interaction for the system of the spin-1/2 and spin-0 particles is constructed. For this system, it was found that the wave equation with a linear confinement potential involved in the non-minimal manner has an oscillator-like form and possesses the exact solution.

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D. A. Kulikov, R. S. Tutik, A. P. Yaroshenko. 2007-01-30. Relativistic two-body equation based on the extension of the SL(2,C) group. https://doi.org/10.1016/j.physletb.2006.11.068

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