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The spherically symmetric model of eH scattering
- Source :
- Canadian Journal of Physics. 76:23-30
- Publication Year :
- 1998
- Publisher :
- Canadian Science Publishing, 1998.
-
Abstract
- The spherically symmetric model (SSM) for electron--hydrogen scattering is one in which the Coulomb repulsion between the electrons, 2/r12, is replaced by 2/r>, where r> is the greater of r1 or r2. The partial wave decomposition of the wave function for this model is carried out with emphasis on L > 0 partial waves, in which case it is shown that singlet and triplet results are identical. The model, nevertheless, retains all inelastic and ionization channels, and therefore provides a nontrivial testing ground for methods of calculation. The decomposition results in two-dimensional partial differential equations (PDEs). Here numerical calculations are carried out in two ways using (i) a propagation method, and (ii) a noniterative PDE method. The latter is augmented by an integral formula, which greatly enhances the practicality of the method. Elastic phase shifts for L = 1,2,3 partial waves in the elastic region are presented. PACS No. 34.80
Details
- ISSN :
- 12086045 and 00084204
- Volume :
- 76
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Physics
- Accession number :
- edsair.doi...........f7ee156f36b713f43de6024b37965edc