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Universal Physics of 2+1 Particles with Non-Zero Angular Momentum

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Abstract

The zero-energy universal properties of scattering between a particle and a dimer that involves an identical particle are investigated for arbitrary scattering angular momenta. For this purpose, we derive an integral equation that generalises the Skorniakov–Ter-Martirosian equation to the case of non-zero angular momentum. As the mass ratio between the particles is varied, we find various scattering resonances that can be attributed to the appearance of universal trimers and Efimov trimers at the collisional threshold.

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Authors and Affiliations

  1. Department of Physics, University of Tokyo, 7-3-1, Hongo, Bunkyo-ku, Tokyo, 113-0033, Japan

    Shimpei Endo, Pascal Naidon & Masahito Ueda

  2. ERATO Macroscopic Quantum Control Project, JST, 2-11-16 Yayoi, Bunkyo-ku, Tokyo, 113-8656, Japan

    Pascal Naidon & Masahito Ueda

Authors
  1. Shimpei Endo
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  2. Pascal Naidon
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  3. Masahito Ueda
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Corresponding author

Correspondence to Shimpei Endo.

Additional information

Special issue devoted to Efimov physics.

This work was supported by Grants-in-Aid (KAKENHI 22340114 and 22103005), the Global COE Program “the Physical Sciences Frontier”, and the Photon Frontier Network Program of MEXT of Japan.

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Endo, S., Naidon, P. & Ueda, M. Universal Physics of 2+1 Particles with Non-Zero Angular Momentum. Few-Body Syst 51, 207–217 (2011). https://doi.org/10.1007/s00601-011-0229-6

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  • DOI: https://doi.org/10.1007/s00601-011-0229-6

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