Shape phase transitions in odd-A Zr isotopes

TL;DR

This paper investigates shape phase transitions in neutron-rich odd-A Zr isotopes using nuclear density functional theory and particle-core coupling, revealing shape evolution and good agreement with experimental spectra.

Contribution

It introduces a comprehensive theoretical framework combining mean-field calculations with particle-core coupling to study shape transitions in odd-A Zr isotopes, including detailed deformation analysis.

Findings

Shape transition from triaxial to prolate in Zr isotopes.

Good agreement between calculated spectra and experiments.

Pronounced structural discontinuity around $^{99}$Zr.

Abstract

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 $(\beta,\gamma)$ deformation energy surfaces for even-even $^{94-102}$Zr indicates transition from triaxial or $\gamma$-soft ($^{94,96}$Zr) to prolate ($^{98}$Zr), and triaxial ($^{100,102}$Zr) 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 $^{99}$Zr.