First-order eikonal exchange amplitudes

Journal Article · Sun Oct 31 23:00:00 EST 1982 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.26.2482· OSTI ID:6510678

Franco, V; Halpern, A M

A detailed derivation of a first-order analytic approximation to the electron-hydrogen charge-exchange amplitude in both the Glauber approximation and eikonal approximmations in both post and prior forms is presented. The results are applicable to arbitrary initial states. The approximation is applied to elastic scattering by hydrogen in its ground state, and numerical results for both the modulus and phase of the exchange amplitude are obtained. the analytic approximation converges rapidly to the exact eikonal result with increasing energy. The techniques used in approximating the contribution to the exchange amplitude arising from the electron-nucleus part of the interaction potential are discussed in detail.

• Research Organization: Physics Department, Brooklyn College of the City University of New York, Brooklyn, New York 11210
• OSTI ID: 6510678
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 26:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
ATOM COLLISIONS
CALCULATION METHODS
COLLISIONS
EIKONAL APPROXIMATION
ELASTIC SCATTERING
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
GLAUBER THEORY
HYDROGEN
NONMETALS
POTENTIALS
SCATTERING
SCATTERING AMPLITUDES