The three-body Coulomb scattering problem in a discrete Hilbert-space basis representation |
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Authors: | S L Yakolev Z Papp |
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Institution: | (1) School of Physics, Georgia Institute of Technology, 30332-0430 Atlanta, GA, USA |
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Abstract: | We propose modified Faddeev-Merkuriev integral equations for solving the 2→2, 3 quantum three-body Coulomb scattering problem.
We show that the solution of these equations can be obtained using a discrete Hilbert-space basis and that the error in the
scattering amplitudes due to truncating the basis can be made arbitrarily small. The Coulomb Green’s function is also confined
to the two-body sector of the three-body configuration space by this truncation and can be constructed in the leading order
using convolution integrals of two-body Green’s functions. To evaluate the convolution integral, we propose an integration
contour that is applicable for all energies including bound-state energies and scattering energies below and above the three-body
breakup threshold. |
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Keywords: | |
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