On the modification of the Efimov spectrum in a finite cubic box
Abstract
Three particles with large scattering length display a universal spectrum of threebody 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 finitevolume 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 partialwave mixing and study the behavior of shallow trimers near the dimer energy. Moreover, we provide numerical evidence for universal scaling of the finitevolume corrections.
 Publication:

European Physical Journal A
 Pub Date:
 February 2010
 DOI:
 10.1140/epja/i2010109106
 arXiv:
 arXiv:0910.2191
 Bibcode:
 2010EPJA...43..229K
 Keywords:

 Shallow State;
 Universal Scaling;
 Spherical Bessel Function;
 High Partial Wave;
 Identical Boson;
 Nuclear Theory;
 Condensed Matter  Quantum Gases;
 High Energy Physics  Lattice
 EPrint:
 21 pages, 8 figures, published version