Calculation of the two-photon decay rates of hydrogen-like ions by using B-polynomials

Abstract

A new approach is laid out to investigate the two photon atomic transitions. It is based on application of the finite basis solutions constructed from the Bernstein Polynomial (B-Polynomial) sets. We show that such an approach provides a very promising route for the relativistic second- (and even higher-order) calculations since it allows for analytical evaluation of the involved matrices elements. In order to illustrate possible applications of the method and to verify its accuracy, detailed calculations are performed for the 2s_{1/2}-1s_{1/2} transition in neutral hydrogen and hydrogen-like ions, and are compared with the theoretical predictions based on the well-established B-spline-basis-set approach.

References in corpus (2)

• Resonant effects on the two-photon emission from hydrogenic ions
• Negative continuum effects on the two-photon decay rates of hydrogen-like ions

Cited by in corpus (6)

• Relativistic total cross section and angular distribution for Rayleigh scattering by atomic hydrogen
• Relativistic polarization analysis of Rayleigh scattering by atomic hydrogen
• Accurate solution of the Dirac equation on Lagrange meshes
• Parametrization of the angular correlation and degree of linear polarization in two-photon decays of hydrogen-like ions
• Relativistic two-photon decay rates with the Lagrange-mesh method
• Vacuum polarization and finite nuclear size effects in the two-photon decay of hydrogen-like ions