Blackbody radiation shifts and magic wavelengths for atomic clock research

We developed a theoretical method within the framework of relativistic many-body theory to accurately treat correlation corrections in atoms with few valence electrons. Preliminary results for systems of interest to atomic clock development are reported. We also calculated the blackbody radiation shift of the ground-state hyperfine microwave transition in
⁸⁷
Rb using the relativistic all-order method and evaluated the accuracy of our final value. The uncertainty estimate is discussed in detail.