The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
Artikel i vetenskaplig tidskrift, 2012
We analyze how corrections linear in the effective range, r(0), affect quantities in the three-body sector within an effective field theory for short-range interactions. We demonstrate that observables can be obtained straightforwardly using a perturbative expansion in powers of r(0). In particular, we show that two linear-in-r(0) counterterms are needed for renormalization at this order if scattering-length-dependent observables are considered. We exemplify the implications of this result using various three-body observables. Analytical results for the running of the next-to-leading-order portion of the three-body force in this effective field theory are provided. Expressions which incorporate O(r(0)) corrections and relate the positions of features observed in three-atom recombination near a Feshbach resonance are presented.
Atom
ultracold atoms
short-range interactions
Few-body physics
EFT
3-body system
universality
forces
Nucleon
expansion
states
neutron-deuteron scattering
renormalization
Författare
C. Ji
Ohio University
D. R. Phillips
Ohio University
Lucas Platter
Chalmers, Teknisk fysik, Subatomär fysik
Annals of Physics
0003-4916 (ISSN) 1096-035X (eISSN)
Vol. 327 7 1803-1824Ämneskategorier
Fysik
DOI
10.1016/j.aop.2012.02.001