Approach to electron capture into arbitrary principal shells of energetic projectiles

Journal Article · Sun Jul 01 04:00:00 EDT 1979 · Phys. Rev., A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.20.104· OSTI ID:5980959

Eichler, J; Chan, F T

An approach for treating electron capture into arbitrary principal shells or into continuum states of energetic projectiles is developed. The approach is based on the momentum-density matrix of the captured electron summed over all substates l, m or integrated over all emission angles, respectively. In conjunction with the kinematics of energetic capture reactions it leads to drastic simplifications in capture theories. Within the eikonal approximation, the present approach yields an exact result for the cross section describing capture of hydrogenic 1s electrons into hydrogenic bound or continuum states of the projectile. The final result is a simple analytical expression factorizing into the Oppenheimer-Brinkman-Kramers cross section times a scaling factor between 0.1 and 0.4. The theoretical scaling factor for the total cross section turns out to be a function of v/v/sub K/ (the ratio of projectile velocity to target K-shell velocity) which is approximately independent of the target and projectile charges. For hydrogen and helium targets surprisingly good agreement is obtained with a large body of experimental data.

• Research Organization: Bereich Kern-und Strahlenphysik, Hahn-Meitner-Institut fuer Kernforschung Berlin GmbH, D-1000 Berlin-39, Federal Republic of Germany
• OSTI ID: 5980959
• Journal Information: Phys. Rev., A; (United States), Journal Name: Phys. Rev., A; (United States) Vol. 20:1; 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
ATOMIC IONS
CAPTURE
CHARGE EXCHANGE
CHARGED PARTICLES
COLLISIONS
CROSS SECTIONS
CRYOGENIC FLUIDS
ELECTRON CAPTURE
ELEMENTS
FLUIDS
HELIUM
HYDROGEN
ION COLLISIONS
ION-ATOM COLLISIONS
IONS
MULTICHARGED IONS
NONMETALS
RARE GASES