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Pairing and Deformed Pairing Interaction for System of Protons and Neutrons

In: Symmetries in Science X

Author

Listed:
  • S. Szpikowski

    (Maria Curie-Sklodowska University, Department of Theoretical Physics)

  • W. Berej

    (Maria Curie-Sklodowska University, Department of Theoretical Physics)

  • L. Próchniak

    (Maria Curie-Sklodowska University, Department of Theoretical Physics)

Abstract

For regular heavy nuclei the neutron-proton pairing correlation has been for a long time neglected because of a rather big energy difference between proton and neutron levels. Recently, the npcorrelation has again attracted much attention especially for the exotic nuclei with N ≈ Z, where neutrons and protons are on the same energy levels. The attention has been turned back to the old papers, from the sixties, where the exact solution of pairing interaction were obtained on the ground of orthogonal symmetries. The SO(5) symmetry was established almost simultaneously but independently by several authors [1–5] for the j-j coupling in nuclear shell model. Very soon, the SO(8) symmetry was recognized for the L-S coupling [3,6] with several further applications [7–10].

Suggested Citation

  • S. Szpikowski & W. Berej & L. Próchniak, 1998. "Pairing and Deformed Pairing Interaction for System of Protons and Neutrons," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 401-409, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_25
    DOI: 10.1007/978-1-4899-1537-5_25
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