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Title: Model three-body problem in the molecular mass limit

Abstract

The bound states of a three-body molecule composed of two identical heavy nuclei and a light ''electron'' interacting through short-range s-wave potentials are studied. The spectrum of three-body bound states grows as the mass ratio m between the heavy and light particles increases, and presents a remarkable vibration rotation structure that can be fitted with the usual empirical energy formulas of molecular spectroscopy. The results of the exact three-body calculation for the binding energy and bound-state wavefunction are compared with the predictions of the Born-Oppenheimer method for the same system. We find that for m>30, the Born-Oppenheimer approximation yields very good results for both the binding energies and wavefunctions. For smaller m (1

Authors:
;
Publication Date:
Research Org.:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
OSTI Identifier:
6088786
Resource Type:
Journal Article
Journal Name:
Ann. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 117:2
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; THREE-BODY PROBLEM; BORN-OPPENHEIMER APPROXIMATION; BOUND STATE; ANALYTICAL SOLUTION; BINDING ENERGY; INTERACTION RANGE; NUCLEAR MOLECULES; PARTIAL WAVES; ROTATIONAL STATES; S WAVES; VIBRATIONAL STATES; WAVE FUNCTIONS; DISTANCE; ENERGY; ENERGY LEVELS; EXCITED STATES; FUNCTIONS; MANY-BODY PROBLEM; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics; 645500 - High Energy Physics- Scattering Theory- (-1987); 653001 - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models

Citation Formats

Fonseca, A.C., and Shanley, P.E. Model three-body problem in the molecular mass limit. United States: N. p., 1979. Web. doi:10.1016/0003-4916(79)90356-7.
Fonseca, A.C., & Shanley, P.E. Model three-body problem in the molecular mass limit. United States. doi:10.1016/0003-4916(79)90356-7.
Fonseca, A.C., and Shanley, P.E. Thu . "Model three-body problem in the molecular mass limit". United States. doi:10.1016/0003-4916(79)90356-7.
@article{osti_6088786,
title = {Model three-body problem in the molecular mass limit},
author = {Fonseca, A.C. and Shanley, P.E.},
abstractNote = {The bound states of a three-body molecule composed of two identical heavy nuclei and a light ''electron'' interacting through short-range s-wave potentials are studied. The spectrum of three-body bound states grows as the mass ratio m between the heavy and light particles increases, and presents a remarkable vibration rotation structure that can be fitted with the usual empirical energy formulas of molecular spectroscopy. The results of the exact three-body calculation for the binding energy and bound-state wavefunction are compared with the predictions of the Born-Oppenheimer method for the same system. We find that for m>30, the Born-Oppenheimer approximation yields very good results for both the binding energies and wavefunctions. For smaller m (1},
doi = {10.1016/0003-4916(79)90356-7},
journal = {Ann. Phys. (N.Y.); (United States)},
number = ,
volume = 117:2,
place = {United States},
year = {1979},
month = {2}
}