Nonadiabatic, momentum-dependent, and energy-dependent corrections in the effective-potential description for low-energy scattering of spinless systems: Their relations and validity

Journal Article · Tue Nov 01 00:00:00 EST 1988 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.38.4470· OSTI ID:6723781

Au, C K

In the effective-potential description for low-energy scattering involving a spinless complex (a body with internal structure), the nonadiabatic corrections are sometimes disguised in momentum-dependent terms. These are distinct from energy-dependent corrections. A general procedure is given here by which all the momentum-dependent corrections can be converted into nonadiabatic corrections in truly local form. Circumstances under which an expansion of the effective potential, in terms of the adiabatic term plus nonadiabatic and energy-dependent corrections is allowed and forbidden, are discussed. An example for the latter is in the case of near degeneracy in the spectrum of the complex or in the extrapolation of the effective potential to short-distance behavior. This indicates that certain claims of ''saturation effect'' at short distances in low-energy electron-atom scattering are invalid.

• Research Organization: Physics Department, University of South Carolina, Columbia, South Carolina 29208
• OSTI ID: 6723781
• Journal Information: Phys. Rev. A; (United States), Vol. 38:9
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRON-ATOM COLLISIONS
POTENTIAL SCATTERING
CORRECTIONS
ENERGY DEPENDENCE
SCATTERING AMPLITUDES
TRANSITION AMPLITUDES
VARIATIONAL METHODS
AMPLITUDES
ATOM COLLISIONS
COLLISIONS
ELASTIC SCATTERING
ELECTRON COLLISIONS
SCATTERING
640304* - Atomic
Molecular & Chemical Physics- Collision Phenomena
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics