Efimov effect in an internal spectral gap of a three-particle lattice Hamiltonian
Saidakhmat N. ~Lakaev · arXiv: 2610.26284v1 · Summary page
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An infinite spectral ladder inside a gap
The Efimov effect concerns an infinite sequence of quantum energy levels accumulating at a spectral threshold. A new preprint establishes such a sequence inside an internal gap of a lattice Hamiltonian describing identical spinless fermions and a distinguishable particle, with repulsive pair interactions. The setting is carefully arranged: the mass ratio exceeds a critical value, the mixed interaction is tuned to a threshold resonance, and sufficiently strong repulsion between the fermions opens the relevant gap.
The authors prove logarithmic asymptotics for the number of accumulating eigenvalues. The coefficient matches that found without fermion–fermion coupling and also governs accumulation above the essential spectrum across the stated weak-coupling interval, including its critical endpoint. This connects apparently different spectral regimes and shows how repulsive interactions can reshape the spectrum while preserving a quantitative signature of Efimov accumulation.
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