Abstract
For static potentials which are proportional asymptotically to , the low-energy expansion of the scattering amplitude is found through terms of , using a modification of the method developed by Levy and Keller for central potentials. The resulting expansion to lowest order in is found to be , where is the scattering length and is the coordinate of the momentum transfer vector. Applications are attempted first to electron-atom elastic scattering where results are somewhat more complicated than for the potentials above, secondly to transitions between magnetic quantum states of atoms caused by slow electrons.
- Received 20 January 1964
DOI:https://doi.org/10.1103/PhysRev.134.A1188
©1964 American Physical Society