The K-shell excitation function in the plane-wave Born approximation: transitions to the continuum and discrete (H atom) states
- 28 May 1981
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 14 (10) , 1607-1611
- https://doi.org/10.1088/0022-3700/14/10/010
Abstract
An exact analytical expression for the energy differential K-shell ionisation cross section is obtained in the framework of the plane-wave Born approximation (PWBA). The excitation function I( eta , theta ) is expressed in terms of elementary analytical functions plus a rapidly convergent power -series expansion. With a few terms of the power series the values obtained by numerical integration are reproduced within the precision inherent in the available tables. Starting from the same general formulation an exact algebraic equation for the 1s-n excitation for atomic hydrogen is also obtained.Keywords
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