The system of four identical bosons with a large two-boson scattering length is described using momentum-space integral equations for the four-particle transition operators. The creation of Efimov trimers via ultracold four-boson recombination is studied. The universal behavior of the recombination rate is demonstrated.

arXiv:1201.2326Physical Review AJan 23, 201241 citations

arXiv:1201.6586 · Few-Body Systems

Universality in Four-Boson Systems

T. Frederico, A. Delfino, M. R. Hadizadeh, Lauro Tomio, Marcelo Takeshi Yamashita

Published Jun 18, 2012• 16 citations

arXiv HTML PDF

DOI: 10.1007/s00601-012-0463-6

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Two-, three-, and four-boson systems are studied close to the unitary limit using potential models constructed to reproduce the minimal information given by the two-body scattering length

a

and the two-body binding energy or virtual-state energy

{E}_{2}

. The particular path used to reach the unitary limit is given by varying the potential strength. In this way the energy spectrum in the three- and four-boson systems is computed. The lowest-energy states show finite-range effects absorbed in the construction of level functions that can be used to study real systems. Higher-energy levels are free from finite-range effects, therefore the corresponding level functions tend to the zero-range universal function. Using this property, a zero-range equation for the four-boson system is proposed and the four-boson universal function is computed.