Relativistic wave equation for one spin-1/2 and one spin-0 particle

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 the Lorentz-scalar and Lorentz-vector potential interactions for the system of one spin-1/2 and one spin-0 particle with unequal masses is constructed.

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