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For a $\\Lambda$ in the $1s$ and $1p$ states in $^{17}_{\\Lambda}$O, $^{41}_{\\Lambda}$Ca, $^{49}_{\\Lambda}$Ca, $^{91}_{\\Lambda}$Zr, and $^{209}_{\\Lambda}$Pb, we compare the single-particle energies and density distributions of the core nucleons with those of the nuclei without the $\\Lambda$, as well as the point proton and neutron radii. 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