Combined hyperspherical and close-coupling description of two-electron wave functions: Application to e--H elastic-scattering phase shifts
Abstract
A new procedure for matching hyperspherical coordinate (HS) wave functions onto close-coupling (CC) wave functions for two-electron systems at a hyperradius R=R0 is shown to give agreement with accurate 1S phase shifts for e+H up to the 2s2 resonance. The procedure uses far fewer basis functions than are required in either a HS or a CC calculation alone. The strengths of each method are thus effectively combined to obtain wave functions describing highly correlated two-electron motion near the nucleus (R<R0) and largely independent electron motion away from the nucleus (R>R0).
- Publication:
-
Physical Review A
- Pub Date:
- April 1984
- DOI:
- 10.1103/PhysRevA.29.2242
- Bibcode:
- 1984PhRvA..29.2242C
- Keywords:
-
- Elastic Scattering;
- Electron Scattering;
- Hydrogen Ions;
- Phase Shift;
- Wave Functions;
- Coupling Coefficients;
- Particle Motion;
- Resonance Scattering;
- Atomic and Molecular Physics