Published January 2011 | Version v1
Journal article Metadata-only

Exact solution of the three-boson problem at vanishing energy

Creators

  • 1. Laboratoire Pierre-Aigrain, ENS, Universite Denis-Diderot 7. CNRS, 24, rue Lhomond, 75005 Paris (France)
  • 2. Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ (United Kingdom)
  • 3. Institut fur Theoretische Physik, Heinrich-Heine-Universitat, 40225 Dusseldorf (Germany)

Description

A zero-range approach is used to model resonant two-body interactions between three identical bosons. A dimensionless phase parameterizes 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. (authors)

Availability note (English)

Available from doi: http://dx.doi.org/10.1016/j.crhy.2010.11.002

Additional details

Additional titles

Original title (English)
Solution exacte du probleme a trois corps a energie nulle

Identifiers

DOI
10.1016/j.crhy.2010.11.002;
arXiv
arXiv:1007.4818v1;

Publishing Information

Journal Title
Comptes Rendus. Physique
Journal Issue
no.1t.12
Journal Page Range
p. 27-38
ISSN
1631-0705

INIS

Country of Publication
France
Country of Input or Organization
France
INIS RN
43006987
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; ASYMPTOTIC SOLUTIONS; BOSONS; BOUND STATE; EFIMOV EFFECT; SCHROEDINGER EQUATION; THREE-BODY PROBLEM; WAVE FUNCTIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MANY-BODY PROBLEM; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
44 refs.