https://doi.org/10.1140/epja/s10050-021-00620-7
Regular Article - Theoretical Physics
Triaxial projected shell model study of 
-bands in atomic nuclei
1
Department of Physics, Islamic University of Science and Technology, 192122, Awantipora, India
2
Department of Physics, SP College, 190001, Srinagar, Jammu and Kashmir, India
3
Department of Physics, University of Kashmir, 190006, Srinagar, India
4
Physics Department, University of Notre Dame, 46556, Notre Dame, Indiana, USA
5
Department of Nuclear and Atomic Physics, Tata Institute of Fundamental Research, 400005, Mumbai, India
Received:
11
August
2021
Accepted:
27
October
2021
Published online:
10
November
2021
A systematic study of -bands observed in atomic nuclei is performed using the triaxial projected shell model (TPSM) approach. The staggering phase between the even and odd spin members of the -band for most of the nuclei investigated in the present work is found to have even-I-below-odd-I, which in the framework of the collective model is considered as a signature of -softness. It is observed that out of twenty-three systems studied, only four nuclei, namely, 
Ge, 
Ru, 
Er and 
Th depict staggering phase with odd-I-below-even-I, which is regarded as an indication of the static -deformation in the collective model picture. The inclusion of the quasiparticle excitations in the framework of configuration mixing is shown to reverse the staggering phase from odd-I-down to the even-I-down for all the studied nuclei, except for the aforementioned four nuclei. Furthermore, by fitting a collective Bohr Hamiltonian to the TPSM energies, the differences between the two models are delineated through a comparison of the transition probabilities.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
