568 research outputs found
Prolate over oblate dominance in deformed nuclei as a consequence of the SU(3) symmetry and the Pauli principle
We show that the dominance of prolate over oblate shapes in even-even
deformed nuclei can be derived from the SU(3) symmetry and the Pauli principle.Comment: 2 page
q-deformed dynamics of q-deformed oscillators
We show that an infinite set of q-deformed relevant operators close a partial
q-deformed Lie algebra under commutation with the Arik-Coon oscillator. The
dynamics is described by the multicommutator: [H,..., [H, O]...], that follows
a power law which leads to a dynamical scaling. We study the dynamics of the
Arik-Coon and anharmonic oscillators and analyze the role of q and the other
parameters in the evolution of both systems.Comment: 6 pages, RevTe
Generalized Deformed su(2) Algebras, Deformed Parafermionic Oscillators and Finite W Algebras
Several physical systems (two identical particles in two dimensions,
isotropic oscillator and Kepler system in a 2-dim curved space) and
mathematical structures (quadratic algebra QH(3), finite W algebra ) are shown to posses the structure of a generalized deformed su(2)
algebra, the representation theory of which is known. Furthermore, the
generalized deformed parafermionic oscillator is identified with the algebra of
several physical systems (isotropic oscillator and Kepler system in 2-dim
curved space, Fokas--Lagerstrom, Smorodinsky--Winternitz and Holt potentials)
and mathematical constructions (generalized deformed su(2) algebra, finite W
algebras and W). The fact that the Holt potential is
characterized by the W symmetry is obtained as a by-product.Comment: LaTeX, 17 page
Parameter-Free Solution of the Bohr Hamiltonian for Actinides Critical in the Octupole Mode
An analytic, parameter-free (up to overall scale factors) solution of the
Bohr Hamiltonian involving axially symmetric quadrupole and octupole
deformations, as well as an infinite well potential, is obtained, after
separating variables in a way reminiscent of the Variable Moment of Inertia
(VMI) concept. Normalized spectra and B(EL) ratios are found to agree with
experimental data for 226-Ra and 226-Th, the nuclei known to lie closest to the
border between octupole deformation and octupole vibrations in the light
actinide region.Comment: 11 pages, LaTeX, including 5 .eps figure
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