Impossibility of the Efimov effect for p-wave interactions

Abstract

Whether the Efimov effect is possible, in principle, for p-wave or higher partial-wave interactions is a fundamental question. Recently, there has been a claim that three nonrelativistic particles with resonant p-wave interactions exhibit the Efimov effect. We point out that the assumed p-wave scattering amplitude inevitably causes a negative probability. This indicates that the Efimov states found there cannot be realized in physical situations. We also restate our previous argument that the Efimov effect, defined as an infinite tower of universal bound states characterized by discrete scale invariance, is impossible for p-wave or higher partial-wave interactions.

3 pages, no figure; published version

References in corpus (4)

• Three fully polarized fermions close to a p-wave Feshbach resonance
• Scattering Models for Ultracold Atoms
• Renormalization in the Three-body Problem with Resonant P-wave Interactions
• Modeling interactions for resonant p-wave scattering

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