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Non-symmetrized Basis Function for Identical Particles

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Abstract

We propose to use the hyperspherical harmonics (HH) basis to solve the A-body system problem without explicit symmetrization or anti-symmetrization of the basis functions as required by the statistic of the system. Therefore, the HH basis set is expressed with respect to a given ordering of the A particles. However, after diagonalization, the eigenvectors reflect the symmetries of the Hamiltonian, and it is possible to identify the physical states having the expected symmetry under particle permutation. As an example we study the case of four particles interacting through a short-range spin-dependent interaction and the Coulomb potential.

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Authors and Affiliations

  1. INLN, Université de Nice-Sophia Antipolis, CNRS, 1361 route des Lucioles, 06560, Valbonne, France

    M. Gattobigio

  2. Istituto Nazionale di Fisica Nucleare, Largo Pontecorvo 2, 56127, Pisa, Italy

    A. Kievsky & M. Viviani

  3. Department of Physics and Astronomy, University College London, Gower Street, London, WC1E6BT, UK

    P. Barletta

Authors
  1. M. Gattobigio
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  2. A. Kievsky
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  3. M. Viviani
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  4. P. Barletta
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Corresponding author

Correspondence to M. Gattobigio.

Additional information

Article based on the presentation by M. Gattobigio at the Fifth Workshop on Critical Stability, Erice, Sicily.

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Gattobigio, M., Kievsky, A., Viviani, M. et al. Non-symmetrized Basis Function for Identical Particles. Few-Body Syst 45, 127–131 (2009). https://doi.org/10.1007/s00601-009-0045-4

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  • DOI: https://doi.org/10.1007/s00601-009-0045-4

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