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

Journal Article · Sun Mar 15 00:00:00 EDT 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377880903003X· OSTI ID:21405992

Nurmukhamedov, A. M., E-mail: fattah52@mail.r ^[1]

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1. Ulughbek National University of Uzbekistan, Institute of Applied Physics (Uzbekistan)

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.

• OSTI ID: 21405992
• Journal Information: Physics of Atomic Nuclei, Vol. 72, Issue 3; Other Information: DOI: 10.1134/S106377880903003X; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CASIMIR OPERATORS
EXPERIMENTAL DATA
ISOSPIN
ISOTOPES
L-S COUPLING
MASS
MASS FORMULAE
MASS NUMBER
NUCLEI
SPIN
SU-4 GROUPS
WIGNER THEORY
ANGULAR MOMENTUM
COUPLING
DATA
INFORMATION
INTERMEDIATE COUPLING
LIE GROUPS
MATHEMATICAL OPERATORS
NUMERICAL DATA
PARTICLE PROPERTIES
SU GROUPS
SYMMETRY GROUPS