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Shape phase transitions in odd−A Zr isotopes

Spectroscopic properties that characterize shape- phase transitions in neutron-rich odd-A Zr isotopes are investigated using the framework of nuclear density-functional theory and particle-core coupling. The interacting-boson Hamiltonian of the even-even core nuclei, and the single-particle energies and occupation probabilities of the unpaired neutron, are completely determined by deformation constrained self-consistent mean-field calculations based on the relativistic Hartree- Bogoliubov model with a choice of a universal energy density functional and pairing interaction. The triaxial (β , γ ) deformation energy surfaces for even-even 94−102 Zr indicate the occurrence of a transition from triaxial or γ soft (94, 96Zr) to prolate (98Zr) and triaxial (100, 102Zr) shapes. The corresponding low-energy excitation spectra of the odd-A Zr isotopes are in very good agreement with recent experimental results. Consistent with the structural evolution of the neighboring even-even Zr nuclei, the state-dependent effective deformations and their fluctuations in the odd-A isotopes indicate a pronounced discontinuity around the transitional nucleus 99Zr.

Nuclear Structure

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