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

Journal Article · Sun Mar 15 04:00:00 EDT 2009 · Physics of Atomic Nuclei

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

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, Journal Name: Physics of Atomic Nuclei Journal Issue: 3 Vol. 72; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

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