Application of B-splines finite basis sets to relativistic two-photon decay rates of $\mathsf{2s}$ level in hydrogenic ions

Abstract

A theoretical study of the one- and two-photon spontaneous emission rates from the 2s1/2 state of one-electron ions is presented. High-precision values of the relativistic emission rates for ions with nuclear charge Z up to 100 are obtained through the use of finite basis sets for the Dirac equation constructed from B-splines. Furthermore, we analyze the influence of the inclusion of quantum electrodynamics corrections in the initial and final state energies.