Core polarization and tensor coupling effects on magnetic moments of hypernuclei

Effects of core polarization and tensor coupling on the magnetic moments in _Λ ¹³C, _Λ ¹⁷O, and _Λ ⁴¹Ca Λ-hypernuclei are studied by employing 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 wavefunction obtained via the Dirac equation either with or without the A 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.