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The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length

C. Ji ; D. R. Phillips ; Lucas Platter (Institutionen för fundamental fysik, Subatomär fysik)
Annals of Physics (0003-4916). Vol. 327 (2012), 7, p. 1803-1824.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: EFT, Few-body physics, Atom, Nucleon, neutron-deuteron scattering, short-range interactions, 3-body system, ultracold atoms, universality, renormalization, expansion, forces, states

Denna post skapades 2012-09-06.
CPL Pubid: 162988


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Subatomär fysik (2005-2013)



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