Abstract
The problem of the realization of Wigner spin-isospin SU(4) symmetry in nuclei is analyzed on the basis of available experimental data on nuclide masses in the mass-number range 1 ≤ A ≤ 257. Empirical expressions are obtained for the universal functions in the Wigner mass formula. The experimental values of the energy of spin-orbit interaction are determined for the aforementioned nuclides. An alternative mechanism of the origin of the odd-even effect in nuclei having an even mass number associated with a specific property of the Casimir operator is proposed. The results obtained in this study suggest that SU(4) symmetry is broken predominantly by spin-orbit interaction.
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Original Russian Text © A.M. Nurmukhamedov, 2009, published in Yadernaya Fizika, 2009, Vol. 72, No. 3, pp. 434–443.
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Nurmukhamedov, A.M. Analysis of experimental data on nuclear masses within Wigner spin-isospin SU(4) symmetry. Phys. Atom. Nuclei 72, 401–409 (2009). https://doi.org/10.1134/S106377880903003X
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DOI: https://doi.org/10.1134/S106377880903003X