On the Efimov effect for p-wave interactions

Details On the Efimov effect for p-wave interactions On the Efimov effect for p-wave interactions

2011-11-29

arxiv.org/abs/1111.6961v1

Physics

Condensed Matter

Quantum Gases

2 pages, no figure

Scientific paper

Whether the Efimov effect is possible in principle for p-wave or higher partial-wave interactions is a fundamental question. Recently the authors of arXiv:1110.6829 claimed that three nonrelativistic particles with resonant p-wave interactions exhibit the Efimov effect. We point out that the p-wave scattering amplitude they assumed inevitably causes a negative probability. This indicates that the Efimov states they found cannot be realized in a physical situation. We also take this opportunity to restate our argument from arXiv:1104.2387 that the Efimov effect, defined as an infinite tower of universal bound states characterized by a discrete scaling symmetry, is impossible for p-wave or higher partial-wave interactions.

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