Universality and Scaling Limit of Weakly-Bound Tetramers

• Autor(a) principal: Hadizadeh, M. R. [UNESP]
• Data de Publicação: 2012
• Outros Autores: Yamashita, Marcelo Takeshi [UNESP], Tomio, Lauro [UNESP], Delfino, A., Frederico, T.
• Tipo de documento: Artigo de conferência
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1063/1.3688794; http://hdl.handle.net/11449/24334
• topic: Efimov Physics; Universality; Limit Cycle; Four-Boson Bound State; Four-Body Scale

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.