2009

On the modification of the Efimov spectrum in a finite cubic box

Kreuzer, Simon, Hammer, H. -W.

Understand

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.

Reading the bibliography…