Analytical solution of the bosonic three-body problem

被引：95

作者：

Gogolin, Alexander O. ^{[1
,2
]}

Mora, Christophe ^{[3
]}

Egger, Reinhold ^{[2
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Univ Dusseldorf, Inst Theoret Phys, D-40225 Dusseldorf, Germany

[3] Univ Paris 07, ENS, Lab Pierre Aigrain, CNRS, F-75005 Paris, France

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.100.140404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We revisit the problem of three identical bosons in free space, which exhibits a universal hierarchy of bound states (Efimov trimers). Modeling a narrow Feshbach resonance within a two-channel description, we map the integral equation for the three-body scattering amplitude to a one-dimensional Schrodinger-type single-particle equation, where an analytical solution of exponential accuracy is obtained. We give exact results for the trimer binding energies, the three-body parameter, the threshold to the three-atom continuum, and the recombination rate.

引用

页数：4

共 25 条

[1] Efimov physics in cold atoms [J].