Universal Relations for Identical Bosons from Three-Body Physics

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.106.153005· OSTI ID:21550301

Braaten, Eric; Kang, Daekyoung ^[1]; Platter, Lucas ^[2]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)
2. Institute for Nuclear Theory, University of Washington, Seattle Washington 98195 (United States)

Systems consisting of identical bosons with a large scattering length satisfy universal relations determined by 2-body physics that are similar to those for fermions with two spin states. They require the momentum distribution to have a large-momentum 1/k{sup 4} tail and the radio-frequency transition rate to have a high-frequency 1/{omega}{sup 3/2} tail, both of which are proportional to the 2-body contact. Identical bosons also satisfy additional universal relations that are determined by 3-body physics and involve the 3-body contact, which measures the probability of 3 particles being very close together. The coefficients of the 3-body contact in the 1/k{sup 5} tail of the momentum distribution and in the 1/{omega}{sup 2} tail of the radio-frequency transition rate are log-periodic functions of k and {omega} that depend on the Efimov parameter.

• OSTI ID: 21550301
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 15 Vol. 106; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
BARYONS
BOSONS
DIMENSIONS
DISTRIBUTION
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
FERMIONS
HADRONS
HYPERONS
LENGTH
MANY-BODY PROBLEM
OMEGA BARYONS
PARTICLE PROPERTIES
PERIODICITY
PROBABILITY
RADIATIONS
RADIOWAVE RADIATION
SCATTERING LENGTHS
SPIN
STRANGE PARTICLES
THREE-BODY PROBLEM
VARIATIONS