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Improvements to second-order lifetime calculations within the parametric potential model: application to the Al iv case

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Abstract

Dipolar electric radiative lifetimes are calculated for Al iv. The semiempirical method that associates the parametric procedure, the optimization of a central parametric potential, and a second-order calculation of the radial matrix elements of the transition operator is shown to be related in a natural way to the effective-operator formalism and to perturbation theory. In contrast to previous applications of this method, all second-order contributions are taken into account. Two types of improvement are introduced, namely, the contributions arising from the inner shells and p5 shell excitations and the contributions of the continuum. They are shown to lead to a significant decrease in the discrepancies between the dipole-length and dipole-velocity results. Furthermore, their sizes in the second-order corrections are far from negligible in most cases and can even contribute in an essential way.

© 1982 Optical Society of America

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