Universal tetramer limit-cycle at the unitarity limit

2023/03/27 by T. Frederico, Frederico, Tobias, Mario Gattobigio +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Clusters (physics.atm-clus) #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.2303.14952

openalex publication_date 2023/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We demonstrate that a four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. The model interaction contains two-, three- and four-body short-range potentials, which disentangle the interwoven three- and four-boson cycles, for the universal trimer and tetramer energy levels, respectively. The limit-cycle associated with the correlation between the energies of two successive universal tetramer levels for fixed weakly bound trimer is found to be largely model independent. This is a universal manifestation of an independent four-boson scale associated with a cycle beyond the Efimov one.

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