Abstract

The possibility is investigated that a C 4ν -symmetric hexadecapole deformation causes the observed ΔI = 2 staggering of rotational bands in even and odd- A nuclei. Calculating the energy as a function of intrinsic angular momentum components by means of the tilted cranking model, a rotor Hamiltonian with C 4ν -symmetry is derived, but the magnitude of the fourth order terms is found to be too small to generate a ΔI = 2 staggering of the experimental size. Considering an odd- A system composed of a rotor and a high j-quasiparticle, the ΔI = 2 staggering emerges only when the rotor core contains a C 4ν -symmetric fourth order angular momentum term.

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