W(5): Wobbling Mode in the Framework of the X(5) Model

Details W(5): Wobbling Mode in the Framework of the X(5) Model W(5): Wobbling Mode in the Framework of the X(5) Model

2004-06-02

arxiv.org/abs/nucl-th/0406005v1

Physics

Nuclear Physics

Nuclear Theory

14 pages, LaTeX, 3 postscript figures

Scientific paper

Using in the Bohr Hamiltonian the approximations leading to the Bohr and Mottelson description of wobbling motion in even nuclei, a W(5) model for wobbling bands, coexisting with a X(5) ground state band, is obtained. Separation of variables is achieved by assuming that the relevant potential has a sharp minimum at gamma_0, which is the only parameter entering in the spectra and B(E2) transition rates (up to overall scale factors). B(E2) transition rates exhibit the features expected in the wobbling case, while the spectrum for gamma_0=20 degrees is in good agreement with experimental data for Dy-156.

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