Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

Effects of core polarization and tensor coupling on the magnetic moments in C-13(Lambda), O-17(Lambda), and Ca-41(Lambda) Lambda-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 A tensor coupling. The A tensor potential reduces the spin-orbit splitting of p(Lambda) 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(Lambda) states from the Schmidt values are found to increase with nuclear mass number.

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