Effects ofβ−γcoupling in transitional nuclei and the validity of the approximate separation of variables

2005/10/18 by M. A. Caprio · 1 citation
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Nuclear physics research studies #Quantum chaos and dynamical systems #nucl-th

paper · pdf · doi:10.1103/physrevc.72.054323

published as Phys.Rev. C72 (2005) 054323 · LaTeX (RevTeX), 12 pages, to be published in Phys. Rev. C

arxiv created 2005/10/18 · openalex publication_date 2005/11/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Exact numerical diagonalization is carried out for the Bohr Hamiltonian with a \ensuremathβ-soft, axially stabilized potential. Wave function and observable properties are found to be dominated by strong \ensuremathβ\text\ensuremath-\ensuremathγ coupling effects. The validity of the approximate separation of variables introduced with the X(5) model, extensively applied in recent analyses of axially stabilized transitional nuclei, is examined, and the reasons for its breakdown are analyzed.

Citations

• Elementary Theory of Angular Momentum
• The γ-dependent part of the wave functions representing γ-unstable surface vibrations
• The classification of states of surface vibrations

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