First-order amplitude for general state-to-state transitions in hydrogen by projectile impact

Journal Article · Thu Jan 31 23:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.1381· OSTI ID:5909753

Straton, J C ^[1]

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1. Department of Physics, Cardwell Hall, Kansas State University, Manhattan, Kansas 66506-2601 (US)

The closed analytic form for bound-state transitions due to projectile impact is found in the intermediate representation. The coordinate integral is obtained by evaluating the remaining two integrals in the general multicenter integral derived previously (J. C. Straton, Phys. Rev. A 41, 71 (1990)). Evaluating the remaining time integral depends upon relating a sum of modified Bessel functions of the second kind {ital K}{sub {ital N}+1/2}({ital z}) to a simple polynomial in 1/{ital z}. The results of Van Den Bos and De Heer (Physica 34, 333 (1967)) are shown to be missing a phase factor of ({minus}{ital i}){sup ({ital l}{prime}+{ital l})}.

• OSTI ID: 5909753
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

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Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
ATOM COLLISIONS
BESSEL FUNCTIONS
COLLISIONS
CROSS SECTIONS
ELEMENTS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
HYDROGEN
NONMETALS
TRANSITION AMPLITUDES