2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/175506A 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.9 pages, no figuresHigh Energy Physics - TheoryRelativistic two-body equation based on the extension of the SL(2,C) grouptext