Universality and scaling limit of weakly-bound tetramers
Jan, 2011
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Abstract: (arXiv)
The occurrence of a new limit cycle in few-body physics, expressing a universal scaling function relating the binding energies of two consecutive tetramer states, is revealed, considering a renormalized zero-range two-body interaction applied to four identical bosons. The tetramer energy spectrum is obtained when adding a boson to an Efimov bound state with energy in the unitary limit (for zero two-body binding, or infinite two-body scattering length). Each excited th tetramer energy 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 , which does not depend on . The new scale can also be revealed by a resonance in the atom-trimer recombination process.- 05.10.Cc
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