Abstract
Bethe (1930) obtained, in the framework of the PWBA, a double differential cross section for K-shell ionization in the energy and momentum transfers from the projectile to the target atom. The difficulties encountered for further simplifications of Bethe’s formula, which preserves its usefulness, point to the direction of numerical integrations over the momentum and the energy transfers. Numerical tables of nonrelativistic PWBA calculations for direct Coulomb ionization of inner shells by heavy-charged particles are extensively used for inner shell ionization studies. These tables give the cross sections in terms of two dimensionless parameters, the scaled projectile velocity (η) and the scaled target binding energy (Θ). However, since a long time ago, an approximate analytical formula has been looked for, which would give the total cross section in terms of a few powers of η and Θ. It will be extremely useful to dispose of analytical expressions which are valid in the entire range of the adiabatic region. An infinite power series in the scaled parameters would be an ideal form for the cross section. In this paper such an expression is proposed.
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References
Bethe H., 1930, Ann. Phys. Lpz 5 325
Merzbacher E. and Lewis H.W., 1958, Handb. Phys. (Berlin, Springer) 34, 166
Montenegro E.C., de Pinho A.G. and Baptista G.B., 1980, (this conference)
Rice R., Basbas G. and McDaniel F.D., 1977, Atomic Data and Nucl. Data Tables 20, 503.
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© 1981 Plenum Press, New York
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Montenegro, E.C., de Pinho, A.G., Barros Leite, C.V. (1981). A Closed Formula for Low Velocity K-Shell Ionization Cross Section and the Universal Function in PWBA. In: Fabian, D.J., Kleinpoppen, H., Watson, L.M. (eds) Inner-Shell and X-Ray Physics of Atoms and Solids. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9236-5_9
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DOI: https://doi.org/10.1007/978-1-4615-9236-5_9
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