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arXiv:2212.08257 · Science China Physics Mechanics and Astronomy

Scaling law for three-body collisions near a narrow s-wave Feshbach resonance

Jiaming Li, Shuai Peng, Yirou Xu, Shiyin Kuang, Le Luo

Published Aug 5, 2025• 6 citations
arXivHTMLPDF
DOI
10.1007/s11433-025-2734-6

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We experimentally confirmed the threshold behavior and scattering length scaling law of the three-body loss coefficients in an ultracold spin-polarized gas of ^{6}Li atoms near a p-wave Feshbach resonance. We measured the three-body loss coefficients as functions of temperature and scattering volume, and we found that the threshold law and the scattering length scaling law hold in limited temperature and magnetic field regions. We also found that the breakdown of the scaling laws is due to the emergence of the effective-range term. This work is an important first step towards a full understanding of the loss of identical fermions with p-wave interactions.
We consider a three-boson system with resonant binary interactions and show that for sufficiently narrow resonances three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of wide resonances revealing novel physics of three-body collisions. We calculate the rate of three-body recombination to a weakly bound level and the atom-dimer scattering length and discuss implications for experiments on Bose-Einstein condensates and atom-molecule mixtures near Feshbach resonances.