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Impossibility of the Efimov effect for p-wave interactions

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arxiv 1111.6961 v2 pith:PEM6BDGJ submitted 2011-11-29 cond-mat.quant-gas nucl-th

classification cond-mat.quant-gasnucl-th
keywords efimovp-waveeffectinteractionshigherpartial-wavestatesthere
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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.

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  1. Compositeness relations for near-threshold p-wave bound states

    hep-ph 2026-07 conditional novelty 4.0 of 10

    The paper derives p-wave compositeness relations a1 = 2(Z-1)/(Z+2) * 1/(2μB)^{3/2} and r1 = 3Z/(1-Z) sqrt(2μB) using a nonrelativistic effective field theory.

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