Equality of length-form and velocity-form transition amplitudes in relativistic many-body perturbation theory - art. no. 052506

摘要

Rules for obtaining transition amplitudes that are equal in length form and velocity form, order-by-order in relativistic many-body perturbation theory are presented. Explicit formulas are derived for first-, second-, and third-order amplitudes for transitions between valence states in alkali-metal atoms. Numerical codes are developed to evaluate amplitudes through third order and applied to 3s-3p(1/2) and 3s-3p(3/2) transitions in sodium and sodiumlike ions. The present calculations for sodiumlike ions are compared with other accurate theoretical calculations. [References: 22]