Generalized Coulomb-projected Born-approximation cross sections for atomic excitation by charged-particle impact

Journal Article · Sat Oct 01 04:00:00 EDT 1977 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.16.1401· OSTI ID:7290690

Simony, P R; McGuire, J H; Golden, J E; Junker, B R

An expression is given for the (n/sub i/,l = 0 ..-->.. n/sub f/,l/sub f/ = 0) excitation cross section in terms of a single one-dimensional integral with the aid of a transformation to prolate spheroidal coordinates. Results are given for the 1s-2s excitation of arbitrary-Z hydrogenic targets. For our choice of wave functions the cross sections are found to scale as Z/sup -4/ at fixed E/sub inc//Z/sup 2/. The principal difference between the Coulomb-projected Born-approximation (CPBA) and Born results is in the large-angle portion of the differential cross section. This, however, leads to CPBA and Born momentum-transfer cross sections which differ by less than 20% at high energies for 1s-2s transitions.

• Research Organization: Department of Physics, Kansas State University, Manhattan, Kansas 66506
• OSTI ID: 7290690
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 16:4; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
BORN APPROXIMATION
COLLISIONS
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DWBA
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FUNCTIONS
TOTAL CROSS SECTIONS
WAVE FUNCTIONS