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We present the results of the light-shift calculations in the ns-states ofhydrogenicsystems in the presence of a weak laser field. This is done by meansof analytical calculations of the scalar dynamic polarizabilities (DP) of thecorresponding levels. In contrast to the usual technique, 1.e. by solvingcertain inhomogeneous differential equation. As a result, we obtained for theDP a closed analytical expression valid for all principal quantum numbers, n.Within a framework of such an approach we succeeded both in retrieving the wellknown results and finding several new ones, as well.Our interest is focusedmainly on the states with low n, n=1,2, since they are of particularimportance.Various analytical properties of the DP of such levels are discussedin full details. Numerical values of light-shifts are computed for thoseenergies and intensities of the laser field that are used in the 1S-2Sexperimental investigation of the muonium atom.Comment: 24 pages, 2figure

Light-shift calculation in the $ns$ -states of hydrogenic systems