The three-body Coulomb scattering problem in a discrete Hilbert-space basis representation

S. L. Yakolev, Z. Papp

Research output: Contribution to journalArticle

9 Scopus citations

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.
Original languageEnglish
Pages (from-to)666-676
JournalTheoretical and Mathematical Physics
Volume163
Issue number2
DOIs
StatePublished - 2010

Keywords

  • Coulomb scattering problem
  • quantum scattering problem
  • Faddeev-Merkuriev integral equations

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