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Excitation of hydrogenlike ions from ground state to arbitrary p state by electron impact

Journal Article · · Phys. Rev. A; (United States)
We have formulated a generalized method for the evaluation of the cross sections for 1s-np excitation of hydrogenlike ions by electron impact both in Coulomb-Born and Coulomb-Born-Oppenheimer (CBO) approximations. In this formulation we have replaced the associated Laguerre polynomial for the final-state wave function by an integral representation. The main advantage of our method is that the higher-order parametric differentiations usually adopted in order to obtain the amplitudes for the higher values of the principal quantum number n are avoided by one-dimensional integration. To our knowledge, this is the first attempt to calculate the electron-ion excitation cross section in the CBO approximation for an arbitrary p state without any recourse to partial-wave analysis. We have also calculated asymptotic scaled cross sections for the limit n..-->..infinity at different energies. The direct-excitation results are in good agreement with the existing theoretical findings of Tully for different n values in the intermediate- and high-energy regions.
Research Organization:
Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700032, India
OSTI ID:
6078752
Journal Information:
Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 27:5; ISSN PLRAA
Country of Publication:
United States
Language:
English

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