Exact solution of the three-boson problem at vanishing energy

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• 作者：Christophe Mora^a ; ^{mora@lpa.ens.fr} ; Alexander O. Gogolin^b ; ^{a.gogolin@ic.ac.uk} ; Reinhold Egger^c ; ^{egger@thphy.uni-duesseldorf.de}
• 关键词：Few-body problem ; Three-body recombination ; Efimov effect
• 刊名：Comptes Rendus Physique
• 出版年：2011
• 出版时间：January-February 2011
• 年：2011
• 卷：12
• 期：1
• 页码：27-38
• 全文大小：208 K

文摘

A zero-range approach is used to model resonant two-body interactions between three identical bosons. A dimensionless phase parametrizes the three-body boundary condition while the scattering length enters the Bethe–Peierls boundary condition. The model is solved exactly at zero energy for any value of the scattering length, positive or negative. From this solution, an analytical expression for the rate of three-body recombination to the universal shallow dimer is extracted.