Electric-dipole matrix-element formulas in hyperspherical coordinates with applications to H^- and He

Authors

• Chang-Hwan Park, University of Nebraska - Lincoln
• Anthony F. Starace, University of Nebraska-LincolnFollow
• Jiang Tan, Kansas State University, Manhattan, Kansas
• Chii-Dong Lin, Kansas State University, Manhattan, Kansas

Document Type

Article

Date of this Version

February 1986

Comments

Published by American Physical Society. Phys. Rev. A 33, 1000 (1986). http://pra.aps.org. Copyright © 1986 American Physical Society. Permission to use.

Abstract

Theoretical formulas for the length, velocity, and acceleration forms of the electric-dipole matrix element within the adiabatic hyperspherical coordinate representation are presented. The length and acceleration formulas are used to calculate the photoionization cross section for He up to 1.0 a.u. above threshold and the photodetachment cross section for H^- up to 0.35 a.u. above threshold. Length- and acceleration-form results for the dipole oscillator strengths for the discrete He transitions, 1sns(¹S^e)→1smp(¹P⁰), where n=1, 2, and 3 and m=2, 3, and 4, are also presented. The accuracy of the length- and acceleration-form adiabatic hyperspherical coordinate approximation results is discussed.