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Phys. Rev. A 73, 012710 (2006) [5 pages]On-shell coupled-channel approach to proton-hydrogen collisions without partial-wave expansion
Received 13 October 2005; published 17 January 2006
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. ©2006 The American Physical Society
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