Extending the search for the magic wavelengths using the circularly polarizedlight in rubidium [Phys. Rev. A 86, 033416 (2012)], we pursue here to look forthe magic wavelengths in the $ns-np_{1/2,3/2}$ transitions of Li, Na and Kalkali atoms. These wavelengths for all possible sub-levels are given andcompared with the corresponding wavelengths due to the linearly polarizedlight. We have also mentioned explicitly the dynamic polarizabilities at fewimportant wave lengths. The present study suggests that it is possible to carryout state insensitive trapping of different alkali atoms using the circularlypolarized light.
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