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 1803-1824

Ämneskategorier

Fysik

DOI

10.1016/j.aop.2012.02.001