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Universal Equation for Efimov States

Eric Braaten·H. -W. Hammer·M. Kusunoki
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Abstract

Efimov states are a sequence of shallow 3-body bound states that arise when the 2-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 3-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 4He atoms. We also extend Efimov's theory to include the effects of deep 2-body bound states, which give widths to the Efimov states.

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Eric Braaten, H. -W. Hammer, M. Kusunoki. 2003-03-13. Universal Equation for Efimov States. https://doi.org/10.1103/physreva.67.022505

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