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Proceedings Paper

Three-body scattering model: diatomic homonuclear molecule and atom in collinear configuration
Author(s): S. I. Vinitsky; A. A. Gusev; O. Chuluunbaatar; V. L. Derbov; P. M. Krassovitskiy; L. L. Hai
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Paper Abstract

Three-body model comprising a diatomic homonuclear molecule and an atom, the solutions of which are necessary for modelling interactions of three-body systems with laser radiation and spectroscopy, is formulated in the collinear configuration of the adiabatic representation. The mapping of the relevant 2D boundary-value problems (BVPs) in the Jacobi coordinates and in polar (hyperspherical) coordinates is reduced to a 1D BVP for a system of coupled second-order ordinary differential equations (ODEs) by means of the Kantorovich expansion in basis functions of one of the two independent variables, depending on the other independent variable parametrically. The efficiency of the proposed approach and software is demonstrated by benchmark calculations of the discrete spectrum of Be3 trimer in the collinear configuration.

Paper Details

Date Published: 14 April 2017
PDF: 11 pages
Proc. SPIE 10337, Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III, 103370J (14 April 2017); doi: 10.1117/12.2269498
Show Author Affiliations
S. I. Vinitsky, Joint Institute for Nuclear Research (Russian Federation)
Peoples' Friendship Univ. of Russia (Russian Federation)
A. A. Gusev, Joint Institute for Nuclear Research (Russian Federation)
O. Chuluunbaatar, Joint Institute for Nuclear Research (Russian Federation)
National Univ. of Mongolia (Mongolia)
V. L. Derbov, Saratov State Univ. (Russian Federation)
P. M. Krassovitskiy, Institute of Nuclear Physics (Kazakhstan)
L. L. Hai, Ho Chi Minh City Univ. of Pedagogy (Viet Nam)


Published in SPIE Proceedings Vol. 10337:
Saratov Fall Meeting 2016: Laser Physics and Photonics XVII; and Computational Biophysics and Analysis of Biomedical Data III
Vladimir L. Derbov; Vladimir L. Derbov; Dmitry Engelevich Postnov; Dmitry Engelevich Postnov, Editor(s)

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