Structure of the doublet bands in doubly odd nuclei: The case of ${}^{128}Cs$

Abstract

The structure of the $\Delta J=1$ doublet bands in ${}^{128}Cs$ is investigated within the framework of the Interacting Vector Boson Fermion Model (IVBFM). A new, purely collective interpretation of these bands is given on the basis of the used boson-fermion dynamical symmetry of the model. The energy levels of the doublet bands as well as the absolute $B(E2)$ and $B(M1)$ transition probabilities between the states of both yrast and yrare bands are described quite well. The observed odd-even staggering of both $B(M1)$ and $B(E2)$ values is reproduced by the introduction of an appropriate interaction term of quadrupole type, which produces such a staggering effect in the transition strengths. The calculations show that the appearance of doublet bands in certain odd-odd nuclei could be a consequence of the realization of a larger dynamical symmetry based on the non-compact supersymmetry group $OSp(2\Omega /12,R)$.

arXiv comment12 pages, 8 figures

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Cited by in corpus (4)

• Triaxial projected shell model study of chiral rotation in odd-odd nuclei
• Microscopic nuclear structure models and methods : Chiral symmetry, Wobbling motion and $\gamma -$bands
• Chiral geometry in multiple chiral doublet bands
• The evolution of the chiral symmetry in cesium isotopes