Eikonal approximation for charge transfer from a multielectron atom to fast projectiles

Journal Article · Tue Dec 01 04:00:00 EST 1981 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.24.2933· OSTI ID:5935413

Ho, T S; Lieber, M; Chan, F T; Omidvar, K

The eikonal approach developed previously for calculating electron-capture cross sections for bare projectiles colliding with hydrogenic targets is extended here to allow for multielectron targets. Both the impact and wave pictures are employed and their equivalence is discussed. As a first approximation, each atomic orbital is specified by the three hydrogenic quantum numbers, an effective nuclear charge Z/sub t/, and an energy eigenvalue in the impact picture, or ionization potential in the wave picture. The Z/sup prime//sub t/ appearing in the eikonal phase factor is left undetermined because of incomplete information on the many-body target. However, anayltic expressions are derived for the theoretical cross sections, and numerical values are calculated for simple choices of Z/sup prime//sub t/. Those results are compared with existing experimental data for C, Ne, Ar, N/sub 2/, O/sub 2/, and He targets.

• Research Organization: Physics Department, University of Arkansas, Fayetteville, Arkansas 72701
• OSTI ID: 5935413
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 24:6; 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
CAPTURE
COLLISIONS
CROSS SECTIONS
EIGENSTATES
EIKONAL APPROXIMATION
ELECTRON CAPTURE
ENERGY LEVELS
ION COLLISIONS
ION-ATOM COLLISIONS
MECHANICS
QUANTUM MECHANICS