Thermal radiative corrections to hyperfine structure of light hydrogenlike systems

In this work, we consider the thermal correction to the hyperfine interaction in hydrogen, deuterium, and the ${}^3{\mathrm{He}}^{+}$ ion. This correction is effectively described by one-loop Feynman graphs in the framework of the quantum electrodynamics theory for bound states at a finite temperature. A simple analysis shows the importance of the obtained results for future prospects for measuring hyperfine splitting. In addition, the application for testing the time variation of fundamental constants is briefly discussed.

Figure 1

Feynman diagrams describing the QED theory self-energy corrections to the hyperfine interaction vertex. The tiny line with the cross indicates the interaction with the vector potential generated by the nuclear dipole moment. The double solid line denotes the bound electron in the Furry picture. The bold wavy line represents the thermal photon propagator