Coexistence of nuclear shapes: self-consistent mean-field and beyond

Abstract

A quantitative analysis of the evolution of nuclear shapes and shape phase transitions, including regions of short-lived nuclei that are becoming accessible in experiments at radioactive-beam facilities, necessitate accurate modeling of the underlying nucleonic dynamics. Important theoretical advances have recently been made in studies of complex shapes and the corresponding excitation spectra and electromagnetic decay patterns, especially in the "beyond mean-field" framework based on nuclear density functionals. Interesting applications include studies of shape evolution and coexistence in N = 28 isotones, the structure of lowest $0^{+}$ excitations in deformed N $\approx$ 90 rare-earth nuclei, and quadrupole and octupole shape transitions in thorium isotopes.

To be published in focus issue of Journal of physics G "Shape coexistence in nuclei"

References in corpus (15)

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• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The Skyrme Interaction in finite nuclei and nuclear matter
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Microscopic description of nuclear quantum phase transitions
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Microscopic analysis of the octupole phase transition in Th isotopes
• Simultaneous quadrupole and octupole shape phase transitions in Thorium
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Search for Intrinsic Excitations in 152Sm
• Nature of isomerism in exotic sulfur isotopes
• The nuclear energy density functional formalism

Cited by in corpus (24)

• Microscopic study of induced fission dynamics of ${}^{226}$Th with covariant energy density functionals
• Rotating deformed halo nuclei and shape decoupling effects
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Time-dependent generator coordinate method study of mass-asymmetric fission of actinides
• Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Shape coexistence in even-even nuclei: A theoretical overview
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Sloppy nuclear energy density functionals: effective model reduction
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Shape evolution and coexistence in neutron-deficient Nd and Sm nuclei
• Description of shape coexistence in ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian
• Shape phase transitions in odd-A Zr isotopes
• Microscopic model for the collective enhancement of nuclear level densities
• Origin of octupole deformation softness in atomic nuclei
• Effect of configuration mixing on quadrupole and octupole collective states of transitional nuclei
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional
• Quadrupole and monopole transition properties of $0_2^{+}$ in Gd isotopes
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates
• Triaxiality and shape dynamics in ${}^{70}$Ge
• Quasi-elastic scattering for the nuclear ground state structure: An intriguing case of ${}^{30}$Si