Open Problems in Understanding the Nuclear Chirality

Abstract

Open problems in the interpretation of the observed pair of near degenerate $\Delta I=1$ bands with the same parity as the chiral doublet bands are discussed. The ambiguities for the existing fingerprints of the chirality in atomic nuclei and problems in existing theory are discussed, including the description of quantum tunneling in the mean field approximation as well as the deformation, core polarization and configuration of particle rotor model (PRM). Future developments of the theoretical approach are prospected.

13 pages, 1 figures. Contribution to the "Focus issue on Open Problems in Nuclear Structure", Journal of Physics G

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• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• From chiral vibration to static chirality in ^{135}Nd
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Candidate chiral doublet bands in the odd-odd nucleus ${}^{126}$Cs
• Triaxial projected shell model study of gamma-vibrational bands in even-even Er isotopes
• Doublet bands in ${}^{126}$Cs in the triaxial rotor model coupled with two quasiparticles
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Candidate MKiD nucleus 106Rh in triaxial relativistic mean-field approach with time-odd fields
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Examining the chiral geometry in 104Rh and 106Rh

Cited by in corpus (52)

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• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Nuclear chiral doublet bands data tables
• The first candidate for chiral nuclei in the $A\sim 80$ mass region: ${}^{80}$Br
• Nonaxial-octupole Y_{32} correlations in N = 150 isotones from multidimensional constrained covariant density functional theories
• Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Impact of pairing correlations on the orientation of the nuclear
• Multiple chiral doublets in four-$j$ shells particle rotor model: five possible chiral doublets in ${}_{60}^{136}$Nd${}_{76}$
• Multiple chiral doublet bands with octupole correlations in reflection-asymmetric triaxial particle rotor model
• Multiple chiral doublet candidate nucleus ${}^{105}$Rh in a relativistic mean-field approach
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Collective Hamiltonian for wobbling modes
• Chirality in odd-$A$ Rh isotopes within triaxial particle rotor model
• Chiral geometry of higher excited bands in triaxial nuclei with particle-hole configuration
• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Chirality of ${}^{135}$Nd reexamined: Evidence for multiple chiral doublet bands
• Chiral geometry and rotational structure for ${}^{130}$Cs in the projected shell model
• Dynamics of rotation in chiral nuclei
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• Behavior of the collective rotor in nuclear chiral motion
• Semiclassical description of chiral geometry in triaxial nuclei
• Selection rules of electromagnetic transitions for chirality-parity violation in atomic nuclei
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Static quadrupole moments of nuclear chiral doublet bands
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• Recent progress in multiple chiral doublet bands
• A microscopic resolution of the chiral conundrum with crossing twin bands in Ag-106
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Possible chiral doublets in ${}^{60}$Ni
• Potential energy surfaces of actinide and transfermium nuclei from multi-dimensional constraint covariant density functional theories
• Multiple chiral bands in ${}^{137}$Nd
• Coexistence of chiral symmetry and pseudospin symmetry in one nucleus: triplet bands in ${}^{105}$Ag
• Wobbling geometry in simple triaxial rotor
• Single particle in a reflection-asymmetric potential
• Coexistence of planar and aplanar rotations in ${}^{195}$Tl
• Chiral geometry in multiple chiral doublet bands
• Multi-dimensional constraint relativistic mean field model and applications in actinide and transfermium nuclei
• Tidal wave in ${}^{102}$Pd: An extended five-dimensional collective Hamiltonian description
• Triaxiality explored by an odd quasi-particle
• The evolution of the chiral symmetry in cesium isotopes
• Particle-number conserving analysis for the 2-quasiparticle and high-$K$ multi-quasiparticle states in doubly-odd ${}^{174,176}$Lu
• High-Spin Doublet Band Structures in odd-odd ${}^{194-200}$Tl isotopes
• Chiral dynamics in soft triaxial nuclei
• Investigation of the two-quasiparticle bands in the doubly-odd nucleus ${}^{166}$Ta using a particle-number conserving cranked shell model
• Systematic investigations of positive-parity doublet bands with three-quasiparticle configurations in ${}^{125,127,129,131}$Cs