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Phys. Rev. A 73, 060701(R) (2006) [4 pages]

Coupled-channel pseudopotential description of the Feshbach resonance in two dimensions

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K. Kanjilal and D. Blume
Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA

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Received 2 November 2005; published 1 June 2006

Wederive pseudopotentials that describe the scattering between two particles intwo dimensions for any partial wave m, whose scattering strengthis parametrized in terms of the phase shift delta _m. Usingour m=0 pseudopotential, we develop a coupled-channel model with two-dimensional(2D) zero-range interactions, which describes the two-body physics across aFeshbach resonance. Our model predicts the scattering length, the bindingenergy, and the "closed channel molecular fraction" of two particles;these observables can be measured in experiments on ultracold quasi-2Datomic Bose and Fermi gases with present-day technology.

©2006 The American Physical Society

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.060701
DOI:	10.1103/PhysRevA.73.060701
PACS:	34.50.-s; 34.10.+x 34.50.-s Scattering of atoms and molecules 34.10.+x General theories and models of atomic and molecular collisions and interactions including statistical theories, transition state, stochastic and trajectory models, etc YEAR: 2006
KEYWORDS:	pseudopotential methods, resonant states, binding energy, collision processes, boson systems, fermion systems

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