期刊
ANNALS OF PHYSICS
卷 325, 期 8, 页码 1644-1666出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2010.02.008
关键词
Trapped atoms; Few-body systems; Effective field theory
资金
- NSF [PHY-0555396, PHY-0854912]
- US DOE [DE-FC02-07ER41457, DE-FG02-04ER41338]
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. (C) 2010 Elsevier Inc. All rights reserved.
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