Generator coordinate method for nuclear octupole excitations: status and perspectives

Abstract

Strong octupole correlations have been observed in the low-lying states of atomic nuclei across various mass regions. In this review, we provide an overview of Beyond Mean-Field (BMF) studies of nuclear octupole collective motions with Generator Coordinate Method (GCM) in combination with quantum-number projections that are implemented to restore the broken symmetries in nuclear mean-field states. We highlight recent developments within this framework and their applications to excitation spectra and electromagnetic transition rates in octupole-shaped nuclei and hypernuclei. We discuss the novel phenomena of nucleon clustering in light nuclei. Additionally, we explore the phase transition from octupole vibrations to rotational motions as spin increases in heavy nuclei. Lastly, we examine the status and future prospects of studies on octupole deformation effects in nuclear Schiff moments. These studies, along with the upper limits of atomic Electric Dipole Moment (EDM), impose stringent constraints on beyond-standard-model time-reversal-violating nucleon-nucleon interactions.

56 pages, 21 figures, an invited review for the journal Int. J. Mod. Phys. E

References in corpus (22)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Subbarrier fusion reactions and many-particle quantum tunneling
• Structure and rotations of the Hoyle state
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Rod-shaped Nuclei at Extreme Spin and Isospin
• Evolution of Octupole Deformation in Radium Nuclei from Coulomb Excitation of Radioactive ${}^{222}$Ra and ${}^{228}$Ra Beams
• New Limit on the Permanent Electric Dipole Moment of ${}^{129}$Xe using ${}^3$He Comagnetometry and SQUID Detection
• Calculation of P,T-odd electric dipole moments for diamagnetic atoms ${}^{129}$Xe, ${}^{171}$Yb, ${}^{199}$Hg, ${}^{211}$Rn, and ${}^{225}$Ra
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus ${}^{226}$Ra
• Octupole deformation in the nuclear chart based on the 3D Skyrme Hartree-Fock plus BCS model
• Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model
• Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach
• Improved limits on the hadronic and semi-hadronic CP violating parameters and role of a dark force carrier in the electric dipole moment of ${}^{199}$Hg
• Beyond mean-field study of elastic and inelastic electron scattering off nuclei
• Nuclear Schiff moment in nuclei with soft octupole and quadrupole vibrations
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Microscopic origin of reflection-asymmetric nuclear shapes
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Anharmonicity of multi-octupole-phonon excitations in ${}^{208}$Pb: analysis with multi-reference covariant density functional theory and subbarrier fusion of ${}^{16}$O+${}^{208}$Pb