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Universality and Scaling Limit of Weakly-Bound Tetramers

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American Institute of Physics (AIP)

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The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two successive tetramer states, is revealed by considering a renormalized zero-range two-body interaction in bound state of four identical bosons. The tetramer energy spectrum is obtained by adding a boson to an Efimov bound state with energy B-3 in the unitary limit (for zero two-body binding energy or infinite two-body scattering length). Each excited N-th tetramer energy B-4((N)) is shown to slide along a scaling function as a short-range four-body scale is changed, emerging from the 3+1 threshold for a universal ratio B-4((N))/B-3 = 4.6, which does not depend on N. The new scale can also be revealed by a resonance in the atom-trimer recombination process.

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Efimov Physics, Universality, Limit Cycle, Four-Boson Bound State, Four-Body Scale

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Inglês

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Ix Latin American Symposium on Nuclear Physics and Applications. Melville: Amer Inst Physics, v. 1423, p. 6, 2012.

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