On-shell coupled-channel approach to proton-hydrogen collisions without partial-wave expansion

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20786714

Kadyrov, A S; Bray, I; Stelbovics, A T ^[1]

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1. Centre for Atomic, Molecular and Surface Physics, Division of Science and Engineering, Murdoch University, Perth 6150 (Australia)

A fully quantal approach to proton collisions with hydrogen based on the atomic-orbital close-coupling method is presented. The method leads to a system of coupled three-dimensional momentum-space integral equations for the scattering amplitudes. These equations are reduced to two-dimensional ones using an on-shell approximation. Furthermore, by considering the symmetry of the problem, we demonstrate that these can be reduced to just one dimension. The resulting equations are solved without partial-wave expansion. Cross sections for electron transfer in proton collisions with the ground state of atomic hydrogen are calculated and shown to agree well with experiment over a wide energy range.

• OSTI ID: 20786714
• Journal Information: Physical Review. A, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevA.73.012710; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
ATOMS
CHARGE EXCHANGE
COUPLED CHANNEL THEORY
COUPLING
CROSS SECTIONS
ELECTRON TRANSFER
GROUND STATES
HYDROGEN
HYDROGEN IONS
INTEGRAL EQUATIONS
ION-ATOM COLLISIONS
PARTIAL WAVES
PROTONS
SCATTERING AMPLITUDES
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS