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Rotationally Invariant Hamiltonians for Nuclear Spectra Based on Quantum Algebras

Dennis Bonatsos·B. A. Kotsos·P. P. Raychev·P. A. Terziev
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Abstract

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.

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Dennis Bonatsos, B. A. Kotsos, P. P. Raychev, P. A. Terziev. 2003-11-27. Rotationally Invariant Hamiltonians for Nuclear Spectra Based on Quantum Algebras. https://doi.org/10.1103/physrevc.66.054306

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