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

2004/06/02 by Dennis Bonatsos, Bonatsos, Dennis, D. Lenis +5
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0406005

14 pages, LaTeX, 3 postscript figures

arxiv created 2004/06/02 · openalex publication_date 2004/06/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 gamma₀, 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 gamma₀=20 degrees is in good agreement with experimental data for Dy-156.

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