Zero-Range Potentials in Multi-Channel Problems
The theory developed in the previous chapter can be directly applied to describe electron scattering by molecules. Subramanyan (89) considered e + H2 scattering in the approximation of a two-center ZRP model. In the simplest case, the parameter a for an isolated hydrogen atom was determined from the scattering length computed in the static approximation without exchange. We have already pointed out in Chapter 1 that in the approximation without exchange, the hydrogen atom has two different (singlet and triplet) scattering lengths (a similar situation arises in all atoms with non-zero total spin). Therefore the spin state of the system may influence scattering considerably. Within the ZRP model, an account of spin was first made by Smirnov and Firsov (l7). Further development of the theory was reported in (90,91) and also in (64,86,87).
KeywordsTriplet State Inelastic Scattering Hydrogen Molecule Experimental Cross Section Elastic Cross Section
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