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Quantum Groups in Nuclear Spectra and in Metal Clusters

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Published: Dec 5, 2019
DOI: https://doi.org/10.12681/hnps.2209
Dennis Bonatsos
Institute of Nuclear Physics, N.C.S.R. "Demokritos"
B. A. Kotsos
Technological Education Institute, Lamia
P. P. Raychev
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
P. A. Terziev
Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
Abstract

Quantum algebras (quantum groups), which are nonlinear generalizations of the usual Lie algebras, provide a rich variety of symmetries finding applications in the description of several physical systems [1]. Using irreducible tensor operators under sug(2) a rotationally invariant Hamiltonian which provides a good description of nuclear rotational spectra is constructed and its relation to existing nuclear models is considered. Using the same techniques a 3-dimensional ç-deformed harmonic oscillator with ug(3)Dsoq(3) symmetry is constructed, compared to the modified oscillator of Nilsson, and used for the successful description of magic numbers [2] and supershells [3] in metal clusters.

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References
D. Bonatsos and C. Daskaloyannis, Prog. Part. Nucl. Phys. 43 (1999) 537.
D. Bonatsos, N. Karoussos, D. Lenis, P. P. Raychev, R. P. Roussev, and P. A. Terziev, Phys. Rev. A 62 (2000) 013203.
D. Bonatsos, D. Lenis, P. P. Raychev, and P. A. Terziev, Phys. Rev. A 65 (2002) in press.