Convergence of an L sup 2 approach in the coupled-channel optical-potential method for e -H scattering

Journal Article · Fri Feb 01 04:00:00 EST 1991 · Physical Review, A; (USA)

DOI:https://doi.org/10.1103/PhysRevA.43.1301· OSTI ID:5865539

Bray, I; Konovalov, D A; McCarthy, I E ^[1]

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1. Institute for Atomic Studies, The Flinders University of South Australia, G.P.O. Box 2100, Adelaide 5001, Australia (AU)

An {ital L}{sup 2} approach to the coupled-channel optical method is studied. The investigation is done for electron-hydrogen elastic scattering at projectile energies of 30, 50, 100, and 200 eV. Weak-coupling, free-particle Green's function, and no exchange in {ital Q} space are approximations used to calculate the polarization potential. This model problem is solved exactly using actual hydrogen discrete and continuum functions. The convergence of an {ital L}{sup 2} approach with the Laguerre basis to the exact result is investigated. It is found that a basis of ten Laguerre functions is sufficient for convergence of approximately 5% in the polarization potential matrix elements, and 2% in the differential cross sections for nonlarge angles. The convergence is faster for smaller energies. In general, the convergence to the exact result is slow.

• OSTI ID: 5865539
• Journal Information: Physical Review, A; (USA), Journal Name: Physical Review, A; (USA) Vol. 43:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM OPERATORS
ATOM COLLISIONS
COLLISIONS
COUPLED CHANNEL THEORY
ELASTIC SCATTERING
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
ENERGY RANGE
EV RANGE
EV RANGE 10-100
EV RANGE 100-1000
HYDROGEN
MATHEMATICAL OPERATORS
NONMETALS
OPTICAL MODELS
QUANTUM OPERATORS
SCATTERING