Exact second-order Born calculations for relativistic electron capture

Journal Article · Mon Jul 01 04:00:00 EDT 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.44.377· OSTI ID:5523236

Decker, F; Eichler, J ^[1]

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1. Bereich Schwerionenphysik, Hahn-Meitner-Institut Berlin, D-1000 Berlin 39, Germany (DE)

Second-order Born cross sections for electron capture in relativistic collisions have been calculated without further approximations for a large number of projectile-target combinations and energies. Within the regime of high-{ital Z} target atoms and energies of a few GeV/u, the exactly evaluated cross sections are considerably larger than first-order cross sections, which already overestimate the experimental results. This shows that the Born expansion is not a suitable perturbation series in the charge and energy regime considered. At the same time it is demonstrated that previous evaluations using peaking approximations and {alpha}{ital Z} expansions are in error by more than an order of magnitude. For {ital p}+H collisions the differential cross section exhibits a peak at the classical relativistic Thomas angle.

• OSTI ID: 5523236
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 44:1; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ACCURACY
ATOM COLLISIONS
BORN APPROXIMATION
CAPTURE
CATIONS
CHARGED PARTICLES
COLLISIONS
CROSS SECTIONS
ELECTRON CAPTURE
ELEMENTS
ENERGY RANGE
GEV RANGE
HYDROGEN
HYDROGEN IONS
HYDROGEN IONS 1 PLUS
ION COLLISIONS
ION-ATOM COLLISIONS
IONS
NONMETALS
RELATIVISTIC RANGE