2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197850The effects of core polarization and tensor coupling on the magnetic moments in $^{13}_Λ$C, $^{17}_Λ$O, and $^{41}_Λ$Ca $Λ$-hypernuclei are studied in the Dirac equation with scalar, vector and tensor potentials. It is found that the effect of core polarization on the magnetic moments is suppressed by $Λ$ tensor coupling. The $Λ$ tensor potential reduces the spin-orbit splitting of $p_Λ$ states considerably. However, almost the same magnetic moments are obtained using the hyperon wave function obtained via the Dirac equation either with or without the $Λ$ tensor potential in the electromagnetic current vertex. The deviations of magnetic moments for $p_Λ$ states from the Schmidt values are found to increase with nuclear mass number.10 pages, 2 figures, 2 tablesNuclear Theorytext