Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2008-03-24
Chin.Phys.Lett.25:1629-1632,2008
Physics
Nuclear Physics
Nuclear Theory
10 pages, 2 figures, 2 tables
Scientific paper
10.1088/0256-307X/25/5/029
The effects of core polarization and tensor coupling on the magnetic moments in $^{13}_\Lambda$C, $^{17}_\Lambda$O, and $^{41}_\Lambda$Ca $\Lambda$-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 $\Lambda$ tensor coupling. The $\Lambda$ tensor potential reduces the spin-orbit splitting of $p_\Lambda$ 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 $\Lambda$ 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.
Hillhouse G.
Lu Hai-Feng
Meng Jie
Yao J. M.
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