Universal equation for Efimov states

Journal Article · Sat Feb 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.022505· OSTI ID:20633705

Braaten, Eric; Hammer, H -W; Kusunoki, M ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

Efimov states are a sequence of shallow three-body bound states that arise when the two-body scattering length is large. Efimov showed that the binding energies of these states can be calculated in terms of the scattering length and a three-body parameter by solving a transcendental equation involving a universal function of one variable. We calculate this universal function using effective field theory and use it to describe the three-body system of {sup 4}He atoms. We also extend Efimov's theory to include the effects of deep two-body bound states, which give widths to the Efimov states.

• OSTI ID: 20633705
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BINDING ENERGY
BOUND STATE
EQUATIONS
HELIUM 4
LINE WIDTHS
QUANTUM FIELD THEORY
SCATTERING LENGTHS
THREE-BODY PROBLEM
TWO-BODY PROBLEM