An Uqp(u2) Model for Rotational Bands of Nuclei

Abstract

A rotational model is developed from a new version of the two-parameter quantum algebra $U_{qp}({\mathrm{u}}_2)$. This model is applied to the description of some recent experimental data for the rotating superdeformed nuclei ${}^{192-194-196-198}\mathrm{Pb}$ and ${}^{192-194}\mathrm{Hg}$. A comparison between the $U_{qp}({\mathrm{u}}_2)$ model presented here and the Raychev-Roussev-Smirnov model with $U_q({\mathrm{su}}_2)$ symmetry shows the relevance of the introduction of a second parameter of a ``quantum algebra'' type.

11 pages, Tex, LYCEN 9348

References in corpus (1)

• On the Clebsch-Gordan coefficients for the two-parameter quantum algebra $SU(2{)}_{p,q}$

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• Applications of the Quon Algebra: 3-D Harmonic Oscillator and the Rotor Model
• Two-parametric deformation $U_{p,q}[gl(2/1)]$ and its induced representations
• In memoriam two distinguished participants of the Bregenz Symmetries in Science Symposia: Marcos Moshinsky and Yurii Fedorovich Smirnov
• In memoriam Yurii Fedorovich Smirnov: Some personal reminiscences on a great physicist