Three-body scattering model: Diatomic homonuclear molecule and atom in collinear configuration

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. © 2016 SPIE.

Authors
Vinitsky S.I. 1, 2 , Gusev A.A.1 , Chuluunbaatar O. 1, 3 , Derbov V.L.4 , Krassovitskiy P.M.5 , Hai L.L.6
Publisher
Society of Photo-Optical Instrumentation Engineers, Bellingham, WA, United States
Language
English
Status
Published
Number
103370J
Volume
10337
Year
2017
Organizations
  • 1 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 2 RUDN University, 6 Miklukho-Maklaya st, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia
  • 4 Saratov State University, Saratov, Russian Federation
  • 5 Institute of Nuclear Physics, Almaty, Kazakhstan
  • 6 Ho Chi Minh City University of Pedagogy, Ho Chi Minh city, Viet Nam
Keywords
bound states; collinear configuration; diatomic molecules; interatomic potentials; trimer of atoms

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