Exact relativistic second Born approximation for electron capture

Journal Article · Fri Nov 01 04:00:00 EST 1985 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.32.3106· OSTI ID:5073335

Jakubassa-Amundsen, D H; Amundsen, P A

We derive the exact asymptotic behavior of the second Born approximation for electron capture. The transfer probability as a function of impact parameter and the cross section is shown to go like (lnE)/sup 2//E, where E is the collision energy. This result is the same as for the impulse approximation, and is independent of the initial- and final-state wave functions. In particular, it is also true for capture to the continuum.

• Research Organization: Physik Department (T-30), Technische Universitat Muenchen, D-8046 Garching bei Muenchen, West Germany
• OSTI ID: 5073335
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 32:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ASYMPTOTIC SOLUTIONS
ATOM COLLISIONS
BORN APPROXIMATION
CAPTURE
COLLISIONS
CROSS SECTIONS
ELECTRON CAPTURE
ENERGY DEPENDENCE
ENERGY RANGE
IMPACT PARAMETER
IMPULSE APPROXIMATION
ION COLLISIONS
ION-ATOM COLLISIONS
RELATIVISTIC RANGE