Four-boson scale near a Feshbach resonance

Abstract

We show that an independent four-body momentum scale ${\mu }_{(4)}$ drives the tetramer binding energy for fixed trimer energy (or three-body scale ${\mu }_{(3)}$) and large scattering length ($a$). The three- and four-body forces from the one-channel reduction of the atomic interaction near a Feshbach resonance disentangle ${\mu }_{(4)}$ and ${\mu }_{(3)}$. The four-body independent scale is also manifested through a family of Tjon-lines, with slope given by ${\mu }_{(4)}/{\mu }_{(3)}$ for $a^{-1}=0$. There is the possibility of a new renormalization group limit cycle due to the new scale.

References in corpus (2)

• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Three-boson problem near a narrow Feshbach resonance

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• Collisions between tunable halo dimers: exploring an elementary four-body process with identical bosons
• Collisional properties of weakly bound heteronuclear dimers
• Efimov Trimer Formation via Ultracold Four-body Recombination
• Neutron${-}^{19}$C scattering near an Efimov state
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• Four-body legacy of the Efimov effect
• Few-Body Effects in Cold Atoms and Limit Cycles