An effective field theory approach to two trapped particles

I. Stetcu, J. Rotureau, B. R. Barrett, U. van Kolck

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


We discuss the problem of two particles interacting via short-range interactions within a harmonic-oscillator trap. The interactions are organized according to their number of derivatives and defined in truncated model spaces made from a bound-state basis. Leading-order (LO) interactions are iterated to all orders, while corrections are treated in perturbation theory. We show explicitly that next-to-LO and next-to-next-to-LO interactions improve convergence as the model space increases. In the large-model-space limit we regain results from a pseudopotential. Arbitrary scattering lengths are considered, as well as a generalization to include the non-vanishing range of the interaction.

Original languageEnglish (US)
Pages (from-to)1644-1666
Number of pages23
JournalAnnals of Physics
Issue number8
StatePublished - Aug 2010


  • Effective field theory
  • Few-body systems
  • Trapped atoms

ASJC Scopus subject areas

  • General Physics and Astronomy


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