Bloch-Siegert shift in application to the astrophysical determination of the fundamental constants variation

We have evaluated the Bloch-Siegert shift for the different values of magnetic fieldʼs strengths defined at astrophysical conditions, i.e. when the stars with the strong surface magnetic fields are taken as a powerful pumping source of radiation. It is found that the additional shift of resonant frequency should be taken into account in the search for the time variation of the fundamental constants. The main conclusion is that the influence of the electromagnetic field should be considered carefully in each special case of the corresponding frequency determination.