On the use of the Bethe approximation in the treatment of long-range multipole interactions in electron-neutral-atom collisions
- 28 December 1987
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 20 (24) , 6641-6648
- https://doi.org/10.1088/0022-3700/20/24/015
Abstract
The integral IR(k, l, k', l', lambda )= integral ;r-( lambda +1)Fl(kr)Fl'(k'r)dr for dr R to infinity where Fl(kr)= square root k rjl(kr), jl is a spherical Bessel function and R>or=0, is considered and expressed in terms of well known functions. Its use in electron-atom collision theory is discussed. The interesting result of Burgess and Tully (1978) concerning the relationship of the weak-coupling Bethe and Born collision strengths in the limit of infinite impact energies, i.e. limE to infinity Omega Bethe I/ Omega Born I=2, is clarified.Keywords
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