Magic wavelengths with QED correction for the 23 <i>S</i> 1 → 23 <i>P</i> <i>J</i> transitions of helium-4

Abstract

A series of magic wavelengths for the 23S1 → 23PJ (J = 0, 1, 2) transitions in helium is determined with high precision using the relativistic configuration interaction combined with the radiative potential method. The calculation explicitly incorporates relativistic, finite nuclear mass, and quantum electrodynamic corrections through the inclusion of mass shift and radiative potential operators into the Dirac–Coulomb–Breit Hamiltonian. The resulting magic wavelengths lie entirely within the visible spectrum (400–700 nm) and converge to seven significant digits, making them directly accessible for experimental verification. These accurate predictions serve as benchmarks for testing atomic structure theory and support the development of state-insensitive optical trapping schemes in precision spectroscopy.