Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones

Abstract

A search for the self-consistent solutions for the chiral rotational bands in the N=75 isotones, 130Cs, 132La, 134Pr and 136Pm is performed within the Skyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The dependence of the solutions on the time-odd contributions in the energy functional is studied. From among the considered four isotones, self-consistent chiral solutions are obtained only in 132La. The microscopic calculations are compared with the 132La experimental data and with results of a classical model that contains all the mechanisms underlying the chirality of the collective rotational motion. Strong similarities between the HF and classical model results are found. The suggestion formulated earlier by the authors that the chiral rotation cannot exist below a certain critical frequency is further illustrated and discussed, together with the microscopic origin of a transition from the planar to chiral rotation in nuclei. We also formulate the separability rule by which the Tilted-Axis-Cranking solutions can be inferred from three independent Principal-Axis-Cranking solutions corresponding to three different axes of rotation.

arXiv comment23 LaTeX pages, 11 PostScript Figures

References in corpus (14)

• Chirality of nuclear rotation
• Time-odd components in the mean field of rotating superdeformed nuclei
• Description of Multi Quasi Particle Bands by the Tilted Axis Cranking Model
• Critical frequency in nuclear chiral rotation
• Description of Chiral Doublets in $A\sim 130$ Nuclei and the Possible Chiral Doublets in $A\sim 100$ Nuclei
• A Composite Chiral Pair of Rotational Bands in the odd-A Nucleus 135Nd
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (I) The method
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the program
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (II) The program HFODD
• A hybrid version of the tilted axis cranking model and its application to ^{128}Ba
• Point symmetries in the Hartree-Fock approach: Densities, shapes and currents
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic-oscillator basis. (III) HFODD (v1.75r): a new version of the program
• Point symmetries in the Hartree-Fock approach: Symmetry-breaking schemes
• Left-handed nuclei

Cited by in corpus (34)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• Open Problems in Understanding the Nuclear Chirality
• Evidence for Multiple Chiral Doublet Bands in ${}^{133}$Ce
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Doublet bands in ${}^{126}$Cs in the triaxial rotor model coupled with two quasiparticles
• Chiral geometry in symmetry restored states: Chiral doublet bands in 128Cs
• Collective Hamiltonian for chiral modes
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Candidate MKiD nucleus 106Rh in triaxial relativistic mean-field approach with time-odd fields
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Impact of pairing correlations on the orientation of the nuclear
• Beyond the Unified Model
• 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
• 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
• Configuration interaction in symmetry-conserving covariant density functional theory
• Chiral geometry and rotational structure for ${}^{130}$Cs in the projected shell model
• 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
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Explore nuclear multiple chirality in $A\sim 60$ mass region within covariant density functional theory
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Nuclear chiral rotation induced by superfluidity
• Chiral geometry in multiple chiral doublet bands
• Covariant density functional theory for nuclear chirality in ${}^{135}$Nd
• The evolution of the chiral symmetry in cesium isotopes
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum