Two-phonon $\gamma$-vibrational states in rotating triaxial odd-$A$ nuclei

Abstract

Distribution of the two phonon $\gamma$ vibrational collectivity in the rotating triaxial odd-$A$ nucleus, ${}^{103}$Nb, that is one of the three nuclides for which experimental data were reported recently, is calculated in the framework of the particle vibration coupling model based on the cranked shell model plus random phase approximation. This framework was previously utilized for analyses of the zero and one phonon bands in other mass region and is applied to the two phonon band for the first time. In the present calculation, three sequences of two phonon bands share collectivity almost equally at finite rotation whereas the $K=\Omega +4$ state is the purest at zero rotation.

15 pages, 3 figures, accepted for publication in Physical Review C

References in corpus (6)

• Multi-Phonon $\gamma$-Vibrational Bands and the Triaxial Projected Shell Model
• Signature inversion -- manifestation of drift of the rotational axis in triaxial nuclei
• Multi-phonon $\gamma$-vibrational bands in odd-mass nuclei studied by triaxial projected shell model approach
• Nuclear structure of 178Hf related to the spin-16, 31-year isomer
• Instability of nuclear wobbling motion and tilted axis rotation
• A New Microscopic Approach to the Rotational Intensity Relations

Cited by in corpus (3)

• Single-phonon and multi-phonon excitations of the $\gamma$ vibration in rotating odd-$A$ nuclei
• Quadrupole and monopole transition properties of $0_2^{+}$ in Gd isotopes
• Changes in rotational characters of one- and two-phonon $\gamma$-vibrational bands in ${}^{105}$Mo