Effective potentials for electron-atom scattering below inelastic thresholds. I. Asymptotic forms
- 11 September 1977
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 10 (13) , 2639-2647
- https://doi.org/10.1088/0022-3700/10/13/017
Abstract
It is shown that the effective potential for electron-atom scattering, below inelastic thresholds, has the asymptotic form - alpha r-4-( alpha q-6 beta -24 gamma k12)r-6- delta r-7+O(r-8). The expressions for alpha , alpha 1 and beta are well known. The main new result is that the non-adiabatic correction to the dipole polarisation potential is a linear function of k12, namely (6 beta +24 gamma k12)r-6. An exact expression is obtained for gamma . For e-H scattering, gamma =319/48. The term - delta r-7 arises from the fact that the dipole-polarised states have permanent quadrupole moments. For e-H scattering, delta approximately=48.Keywords
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