Universal Equation for Efimov States

Details Universal Equation for Efimov States Universal Equation for Efimov States

2002-01-16

arxiv.org/abs/cond-mat/0201281v3

Phys.Rev. A67 (2003) 022505

Physics

Condensed Matter

8 pages, revtex4, 2 ps figures, table with numerical values of universal function added

Scientific paper

10.1103/PhysRevA.67.022505

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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