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Properties of universal functions in the Wigner mass formula for nuclei

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 properties of the empirical functions in the Wigner mass formula for nuclei, which is based on SU(4) spin-isospin symmetry, are considered. It is shown that the origin of the odd-even effect in nuclei can be explained on the basis of an explicit analytic form of the second-degree Casimir operator for even-even and odd-odd nuclides and for nuclei of odd mass number. Experimental data in support of the proposed Wigner origin of the odd-even effect are presented.

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