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Recently, we studied the magic wavelength for the atomic hydrogen 1S-2Stransition [A.K., Phys. Rev. A 92, 042507 (2015)]. An explicit summation overvirtual atomic states of the discrete part of the hydrogen spectrum wasperformed to evaluate the atomic polarizability. In this paper, we supplementthe contribution of the continuum part of the spectrum and add the reduced-masscorrection. The magic wavelength, at which the lowest-order ac Stark shifts ofthe 1S and 2S states are equal, is found to be equal to 514.6 nm. The ac Starkshift at the magic wavelength is -221.6 Hz / (kW/cm^2), and the slope of the acStark shift at the magic wavelength under a change of the driving laserfrequency is -0.2157 Hz/ (GHz kW/cm^2).

Magic wavelength for the hydrogen 1S-2S transition: Contribution of the continuum and the reduced-mass correction