Box-based convergent close-coupling method for solving Coulomb few-body problems
Author(s) -
Igor Bray,
Klaus Bartschat,
A. T. Stelbovics
Publication year - 2003
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.67.060704
Subject(s) - physics , laguerre polynomials , coulomb , scaling , formalism (music) , eigenvalues and eigenvectors , close coupling , coupling (piping) , breakup , quantum mechanics , electron , atomic physics , geometry , visual arts , mechanical engineering , art , musical , mathematics , mechanics , engineering
We present an implementation of the convergent close-coupling (CCC) method, in which the Laguerre-based target states are replaced with box-based eigenstates. Discrete energies are obtained by taking the states that vanish at the box radius R0, with convergence being established by simply varying R0. Excellent agreement between box- and Laguerre-based CCC, exterior complex scaling, and renormalized experiment is obtained for one of the most difficult three-body Coulomb breakup problems, near-threshold electron-impact ionization of atomic hydrogen. The simplicity of the box-based CCC method is expected to lead to a greater understanding of the close-coupling formalism generally.
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