109 research outputs found
An application of the 3-dimensional q-deformed harmonic oscillator to the nuclear shell model
An analysis of the construction of a q-deformed version of the 3-dimensional
harmonic oscillator, which is based on the application of q-deformed algebras,
is presented. The results together with their applicability to the shell model
are compared with the predictions of the modified harmonic oscillator.Comment: 12 pages, LaTe
Symmetries and staggering effects in nuclear rotational spectra
We study the fine structure of nuclear rotational spectra on the basis of
both dynamical and discrete symmetry approaches. In this framework we show that
the odd--even (Delta I = 1) staggering effects observed in various rotational
bands carry detailed information about the collective band-mixing interactions
and the collective shape properties of heavy nuclei.Comment: LaTeX, 4 pages plus 1 figure (.ps). To appear in the proceedings of
the European Conference on the Structure of the Nucleus at the Dawn of the
Century (Bologna, Italy, 29/5/00-3/6/00), ed. G. Bonsignori et a
Simplified boson realization of the subalgebra of and matrix elements of quadrupole operators
A simplified boson realization of the subalgebra of is
constructed. A simplified form of the corresponding basis states is
obtained. The reduced matrix elements of a special second-rank tensor operator
(quadrupole operator) are calculated in the basis.Comment: 13 pages, LaTeX. Uses ioplppt.sty, iopl12.st
Rotationally Invariant Hamiltonians for Nuclear Spectra Based on Quantum Algebras
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.Comment: 34 pages, LaTe
Rotations of nuclei with reflection asymmetry correlations
We propose a collective Hamiltonian which incorporates interactions capable
to generate rotations in nuclei with simultaneous presence of octupole and
quadrupole deformations. It is demonstrated that the model formalism could be
applied to reproduce the staggering effects observed in nuclear octupole bands.
On this basis we propose that the interactions involved would provide a
relevant handle in the study of collective phenomena in nuclei and other
quantum mechanical systems with reflection asymmetry correlations.Comment: LaTeX, 9 pages plus 3 figures given in separate .ps files. To appear
in the proceedings of the International Conference on Nuclear Structure and
Related Topics (Dubna, Russia, 6-10/6/2000), ed. R. Jolos, V. Voronov, et a
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