Range Corrections to Three-Body Observables near a Feshbach Resonance

Abstract

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate effective theory facilitates the derivation of both results in the |a| goes to infinity limit and finite-l/a corrections to observables of interest. Here we use such an effective-theory treatment to consider the impact of corrections linear in the two-body effective range, r_s on the three-boson bound-state spectrum and recombination rate for |a| much greater than |r_s|. We do this by first deriving results appropriate to the strict limit |a| goes to infinity in coordinate space. We then extend these results to finite a using once-subtracted momentum-space integral equations. We also discuss the implications of our results for experiments that probe three-body recombination in Bose-Einstein condensates near a Feshbach resonance.

arXiv comment28 pages, 3 figures

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Cited by in corpus (51)

• Modern Theory of Nuclear Forces
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• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Few-body physics with ultracold atomic and molecular systems in traps
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• Observation of the Second Triatomic Resonance in Efimov's Scenario
• Comparing and contrasting nuclei and cold atomic gases
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• Low-Energy Universality in Atomic and Nuclear Physics
• Universality and scaling in the $N$-body sector of Efimov physics
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• The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
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• Range corrections for two-neutron halo nuclei in effective theory
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• Binding and structure of tetramers in the scaling limit
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• Universal three-body parameter in ultracold 4He*
• Crossover in the Efimov spectrum
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• Efimov physics with $1/2$ spin-isospin fermions
• The three-body parameter for Efimov states in lithium-6
• Efimov physics and the three-body parameter for shallow van der Waals potentials
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• Recombination rates from potential models close to the unitary limit
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