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Proceedings Paper

Newtonian iteration schemes for solving the three-boson scattering problem on a line
Author(s): O. Chuluunbaatar; I. V. Puzynin; D. V. Pavlov; A. A. Gusev; S. Y. Larsen; Sergey I. Vinitsky
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Paper Abstract

A three-body scattering problem is formulated in an adiabatic representation as a multi-channel spectral problem for a system of one-dimensional integral equations using the Schwinger variational functional. The stable Newtonian iteration schemes for calculating the eigenfunctions and eigenvalues which are phase shift and energy for continuous and discrete spectrum, correspondingly, are elaborated. Convergence and efficiency of the proposed schemes are demonstrated using the exact solvable model of three identical particles (bosons) on a line with pair attractive (delta) -potentials.

Paper Details

Date Published: 3 June 2002
PDF: 11 pages
Proc. SPIE 4706, Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II, (3 June 2002); doi: 10.1117/12.469597
Show Author Affiliations
O. Chuluunbaatar, Joint Institute for Nuclear Research (Russia)
I. V. Puzynin, Joint Institute for Nuclear Research (Russia)
D. V. Pavlov, Joint Institute for Nuclear Research (Russia)
A. A. Gusev, Joint Institute for Nuclear Research (Russia)
S. Y. Larsen, Temple Univ. (United States)
Sergey I. Vinitsky, Joint Institute for Nuclear Research (Russia)


Published in SPIE Proceedings Vol. 4706:
Saratov Fall Meeting 2001: Laser Physics and Photonics, Spectroscopy, and Molecular Modeling II

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