IX LASNPA, Quito 2011 |

Universality and scaling limit of weakly-bound tetramers

M. R. Hadizadeh ^{1}*, M. T. Yamashita ^{1}, L. Tomio ^{1,2}, A. Delfino ^{2}, T. Frederico ^{3}

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 _{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.

* Corresponding author - hadizade@ift.unesp.br | oral presentation |

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