Title

Calculation of loosely bound levels for three-body quantum systems using hyperspherical coordinates with a mapping procedure

Authors

Authors

V. Kokoouline;F. Masnou-Seeuws

Comments

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Abbreviated Journal Title

Phys. Rev. A

Keywords

DISCRETE VARIABLE REPRESENTATION; BOSE-EINSTEIN CONDENSATION; POTENTIAL-ENERGY SURFACE; MAPPED FOURIER METHOD; LONG-RANGE MOLECULES; PHOTOASSOCIATIVE SPECTROSCOPY; ROVIBRATIONAL ANALYSIS; GRID; REPRESENTATIONS; COLD COLLISIONS; EFIMOV STATES; Optics; Physics, Atomic, Molecular & Chemical

Abstract

In view of modelization of experiments involving cold atoms and molecules, we develop a method that allows us to calculate weakly bound levels of triatomic molecules. The method combines (1) the hyperspherical coordinates to describe interparticle motion in the three-body system, (2) the solution of the Schrodinger equation in two steps: determination of adiabatic states for a fixed hyper-radius and then solution of a set of coupled hyper-radial equations using the slow variable representation of Tolstikhin [J. Phys. B: At. Mol. Opt. Phys. 29, L389 (1996)], (3) and a mapping procedure that reduces considerably the number of basis functions needed to represent wave functions of weakly bound levels. We apply the method to the three different systems: the helium trimer He-4(3), isotopomers of the H-3(+) ion, and finally a model three-body problem involving three nucleons. For all these systems, we show that the suggested method provides accurate results.

Journal Title

Physical Review A

Volume

73

Issue/Number

1

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

11

WOS Identifier

WOS:000235008900090

ISSN

1050-2947

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