Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem

Journal Article · Mon Jul 06 04:00:00 EDT 1992 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.69.53· OSTI ID:7286213

Bray, I ^[1]; Stelbovics, A T ^[2]

---

1. Electronic Structure of Materials Centre, School of Physical Sciences, The Flinders University of South Australia, G.P.O. Box 2100, Adelaide 5001 (Australia)
2. Centre for Atomic, Molecular and Surface Physics, School of Mathematical and Physical Sciences, Murdoch University, Perth 6150 (Australia)

Convergence as a function of the number of states is studied and demonstrated for the Poet-Temkin model of electron-hydrogen scattering. In this Coulomb three-body problem only the {ital l}=0 partial waves are treated. By taking as many as thirty target states, obtained by diagonalizing the target Hamiltonian in a Laguerre basis, complete agreement with the smooth results of Poet is obtained at all energies. We show that the often-encountered pseudoresonance features in the cross sections are simply an indication of an inadequate target state representation.

• OSTI ID: 7286213
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 69:1; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

664300* -- Atomic & Molecular Physics-- Collision Phenomena-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ATOM COLLISIONS
COLLISIONS
COULOMB FIELD
CROSS SECTIONS
ELECTRIC FIELDS
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
FUNCTIONS
HAMILTONIANS
HYDROGEN
LAGUERRE POLYNOMIALS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
NONMETALS
ORBITAL ANGULAR MOMENTUM
PARTIAL WAVES
POLYNOMIALS
QUANTUM OPERATORS
THREE-BODY PROBLEM