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arXiv · 0803.3366

Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei

J. M. Yao·H. F. Lu·G. Hillhouse·J. Meng
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Abstract

The 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.

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J. M. Yao, H. F. Lu, G. Hillhouse, J. Meng. 2008-03-24. Core Polarization and Tensor Coupling Effects on Magnetic Moments of Hypernuclei. https://doi.org/10.1088/0256-307x%2F25%2F5%2F029

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