Analytic description of atomic interaction at ultracold temperatures: The case of a single channel

Journal Article · Wed Jul 15 04:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.012702· OSTI ID:21313263

Bo, Gao ^[1]

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1. Department of Physics and Astronomy, University of Toledo, MS 111, Toledo, Ohio 43606 (United States)

We present analytic descriptions of atomic interaction at ultracold temperatures using both single-channel and multichannel quantum-defect theories. In the case of a single channel, addressed in this paper, the expansion of Gao [Phys. Rev. A 58, 4222 (1998)] is generalized to higher orders for angular momentum l{>=}2 to give a more complete description of ultracold scattering, including an analytic description of ultracold shape resonances of arbitrary l. We also introduce a generalized scattering length that is well defined and useful for all partial waves to replace the traditional definition that fails for l{>=}2 due to the long-range van der Waals interaction. The results are used in a companion paper to derive analytic descriptions of atomic interaction around a magnetic Feshbach resonance of arbitrary angular momentum l.

• OSTI ID: 21313263
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 80; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ATOM-ATOM COLLISIONS
GALLIUM OXIDES
INTERACTIONS
PARTIAL WAVES
QUANTUM MECHANICS
RESONANCE
SCATTERING
SCATTERING LENGTHS
VAN DER WAALS FORCES