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Cluster states of fermions in the single l-shell model

  • Laser Cooling and Quantum Gas
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Abstract.

The paper deals with the ground state structure of the partly filled l-shell of a fermionic gas of atoms of spin s in a spherically symmetric spin independent trap potential. At particle numbers N=n(2s+1), n=1,2,...,2l+1 the basic building blocks are clusters consisting of (2s+1) atoms, whose wave functions are completely symmetric and antisymmetric in space and spin variables, respectively. The creation operator of a cluster is constructed and applied also to create multi cluster states. Ground state energy expressions are derived for the n-cluster states at different l, s values and interpreted in simple terms.

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Authors and Affiliations

  1. Research Group for Statistical Physics of the Hungarian Academy of Sciences, Pázmány P. Sétány 1/A, 1117, Budapest, Hungary

    A. Csordás

  2. Department of Physics of Complex Systems, Eötvös University, Pázmány P. Sétány 1/A, 1117, Budapest, Hungary

    É. Szöke & P. Szépfalusy

  3. Research Institute for Solid State Physics and Optics of the Hungarian Academy of Sciences, P.O. Box 49, 1525, Budapest, Hungary

    P. Szépfalusy

Authors
  1. A. Csordás
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  2. É. Szöke
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  3. P. Szépfalusy
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Correspondence to A. Csordás.

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Csordás, A., Szöke, É. & Szépfalusy, P. Cluster states of fermions in the single l-shell model. Eur. Phys. J. D 42, 113–124 (2007). https://doi.org/10.1140/epjd/e2007-00012-2

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  • DOI: https://doi.org/10.1140/epjd/e2007-00012-2

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