Exactly Solvable Nuclear Models and Richardson-Gaudin Algebraic Structures

ORAL

Abstract

We discuss the exact solution of the isovector pairing (T=1) in nuclei within the SO(5) Richardson-Gaudin model. $^{64}$Ge is used to illustrate the parameter space and shed light on the solutions of the Richardson-Gaudin models. Basic properties of the integrable Richardson-Gaudin models are summarized and their possible applications to variety of nuclear physics models are emphasized. This work was partially performed under the auspices of the U. S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under contract No. W-7405-Eng-48.

*Work supported by the Spanish DGI under grant No. BFM2003-05316-C02-02 and by a CICYT-IN2P3 cooperation. V.G.G. acknowledges financial support provided by a fellowship from the NATO scientific program during his research visit in CSIC, Madrid, Spain.

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Authors

  • V.G. Gueorguiev

    • Lawrence Livermore National Laboratory

  • J. Dukelsky

    • Instituto de Estructura de la Materia, CSIC, Madrid, Spain

  • P. Van Isacker

    • Grand Accelerateur National d'Ions Lourds (GANIL), France

  • S.S. Dimitrova

    • Institute for Nuclear Theory and Nuclear Reaserch, Bulgarian Academy of Science, Sifia, Bulgaria