On the modification of the Efimov spectrum in a finite cubic box
Creators
- 1. Universitaet Bonn, Helmholtz-Institut fuer Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Bonn (Germany)
Description
Three particles with large scattering length display a universal spectrum of three-body bound states called ''Efimov trimers''. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute the dependence of their energies on the box size using effective field theory. Previous calculations for positive scattering length that were perturbative in the finite-volume energy shift are extended to arbitrarily large shifts and negative scattering lengths. The renormalization of the effective field theory in the finite volume is explicitly verified. We investigate the effects of partial-wave mixing and study the behavior of shallow trimers near the dimer energy. Moreover, we provide numerical evidence for universal scaling of the finite-volume corrections. (orig.)
Availability note (English)
Available from: http://dx.doi.org/10.1140/epja/i2010-10910-6Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. A
- Journal Volume
- 43
- Journal Issue
- 2
- Journal Page Range
- p. 229-240
- ISSN
- 1434-6001
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 41038654
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- BINDING ENERGY; BOSONS; BOUND STATE; BOUNDARY CONDITIONS; CONFIGURATION MIXING; CORRECTIONS; DIMERS; EFIMOV EFFECT; LAGRANGIAN FIELD THEORY; PARTIAL WAVES; RENORMALIZATION; SCALING LAWS; SCATTERING AMPLITUDES; SCATTERING LENGTHS; SPECTRAL SHIFT; THREE-BODY PROBLEM; TWO-BODY PROBLEM
- Descriptors DEC
- AMPLITUDES; DIMENSIONS; ENERGY; FIELD THEORIES; INTERACTIONS; LENGTH; MANY-BODY PROBLEM; QUANTUM FIELD THEORY