Shape-phase transitions in odd-mass $\gamma$-soft nuclei with mass $A\approx 130$

Abstract

Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a particle-boson core coupling model. The boson Hamiltonian for the even-even core nucleus, as well as the spherical single-particle energies and occupation probabilities of unpaired nucleons, are completely determined by a constrained self-consistent mean-field calculation for a specific choice of the energy density functional and pairing interaction. Only the strength parameters of the particle-core coupling have to be adjusted to reproduce a few empirical low-energy spectroscopic properties of the corresponding odd-mass system. The model is applied to the odd-A Ba, Xe, La and Cs isotopes with mass $A\approx 130$, for which the corresponding even-even Ba and Xe nuclei present a typical case of $\gamma$-soft nuclear potential. The theoretical results reproduce the experimental low-energy excitation spectra and electromagnetic properties, and confirm that a phase transition between nearly spherical and $\gamma$-soft nuclear shapes occurs also in the odd-A systems.

13 pages, 15 figures, 9 tables

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Cited by in corpus (15)

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• Microscopic description of structural evolution in Pd, Xe, Ba, Nd, Sm, Gd and Dy isotopes
• Description of odd-mass nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• Exploring the Nuclear Shape Phase Transition in Ultra-Relativistic ${}^{129}$Xe+${}^{129}$Xe Collisions at the LHC
• Prolate-to-oblate shape phase transitions in neutron-rich odd-mass nuclei
• Shape phase transitions in odd-A Zr isotopes
• Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy density functional
• Empirical signatures of shape phase transitions in nuclei with odd nucleon numbers
• Mapped interacting boson model for nuclear structure studies
• Investigation of pair-correlated $0^{+}$ states in ${}^{134}$Ba via the ${}^{136}$Ba($p,t$) reaction
• Spectroscopy of states in ${}^{136}\mathrm{Ba}$ using the ${}^{138}\mathrm{Ba}(\mathrm{p},\mathrm{t})$ reaction
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional