Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-11-27
Phys.Rev. C66 (2002) 054306
Physics
Nuclear Physics
Nuclear Theory
34 pages, LaTeX
Scientific paper
10.1103/PhysRevC.66.054306
The rotational invariance under the usual physical angular momentum of the SUq(2) Hamiltonian for the description of rotational nuclear spectra is explicitly proved and a connection of this Hamiltonian to the formalisms of Amal'sky and Harris is provided. In addition, a new Hamiltonian for rotational spectra is introduced, based on the construction of irreducible tensor operators (ITO) under SUq(2) and use of q-deformed tensor products and q-deformed Clebsch-Gordan coefficients. The rotational invariance of this SUq(2) ITO Hamiltonian under the usual physical angular momentum is explicitly proved, a simple closed expression for its energy spectrum (the ``hyperbolic tangent formula'') is introduced, and its connection to the Harris formalism is established. Numerical tests in a series of Th isotopes are provided.
Bonatsos Dennis
Kotsos B. A.
Raychev P. P.
Terziev P. A.
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