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Analysis of experimental data on nuclear masses within Wigner spin-isospin SU(4) symmetry

А. М. НурмухамедовInstitute of Applied Physics, Ulughbek National University of Uzbekistan, Vuzgorodok 3a, Tashkent, 100174, Republic of Uzbekistan
Physics of Atomic Nucleijournal2009en
ABI

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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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