Signatures of shape phase transitions in odd-mass nuclei

Abstract

Quantum phase transitions between competing ground-state shapes of atomic nuclei with an odd number of protons or neutrons are investigated in a microscopic framework based on nuclear energy density functional theory and the particle-plus-boson-core coupling scheme. The boson-core Hamiltonian, as well as the single-particle energies and occupation probabilities of the unpaired nucleon, are completely determined by constrained self-consistent mean-field calculations for a specific choice of the energy density functional and paring interaction, and only the strength parameters of the particle-core coupling are adjusted to reproduce selected spectroscopic properties of the odd-mass system. We apply this method to odd-A Eu and Sm isotopes with neutron number $N\approx 90$, and explore the influence of the single unpaired fermion on the occurrence of a shape phase transition. Collective wave functions of low-energy states are used to compute quantities that can be related to quantum order parameters: deformations, excitation energies, E2 transition rates and separation energies, and their evolution with the control parameter (neutron number) is analysed.

arXiv comment15 pages, 13 figures; Accepted for publication in Phys. Rev. C

References in corpus (11)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• A finite range pairing force for density functional theory in superfluid nuclei
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Microscopic description of nuclear quantum phase transitions
• Microscopic analysis of the octupole phase transition in Th isotopes
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Effect of a fermion on quantum phase transitions in bosonic systems
• Search for Intrinsic Excitations in 152Sm
• Quantum phase transitions in Bose-Fermi systems
• Beyond mean-field boson-fermion model for odd-mass nuclei

Cited by in corpus (13)

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• Nuclear quantum shape-phase transitions in odd-mass systems
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Description of odd-mass nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Prolate-to-oblate shape phase transitions in neutron-rich odd-mass nuclei
• Mixed configurations and intertwined quantum phase transitions in 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
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional