Multi-phonon $γ$-vibrational bands in odd-mass nuclei studied by triaxial projected shell model approach

Details Multi-phonon $γ$-vibrational bands in odd-mass nuclei studied by triaxial projected shell model approach Multi-phonon $γ$-vibrational bands in odd-mass nuclei studied by triaxial projected shell model approach

2010-04-12

arxiv.org/abs/1004.1873v1

Physics

Nuclear Physics

Nuclear Theory

10 pages, 3 figures

Scientific paper

Inspired by the recent experimental data (Phys. Lett. B {\bf 675} (2009) 420), we extend the triaxial projected shell model approach to study the $\gamma$-band structure in odd-mass nuclei. As a first application of the new development, the $\gamma$-vibrational structure of $^{103}$Nb is investigated. It is demonstrated that the model describes the ground-state band and multi-phonon $\gamma$-vibrations quite satisfactorily, supporting the interpretation of the data as one of the few experimentally-known examples of simultaneous occurrence of one- and two-$\gamma$-phonon vibrational bands. This generalizes the well-known concept of the surface $\gamma$-oscillation in deformed nuclei built on the ground-state in even-even systems to $\gamma$-bands based on quasiparticle configurations in odd-mass systems.

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