Semiclassical description of chiral geometry in triaxial nuclei

Abstract

A triaxial particle-rotor Hamiltonian for three mutually perpendicular angular momentum vectors corresponding to two high-$j$ quasiparticles and the rotation of a triaxial collective core, is treated within a time-dependent variational principle. The resulting classical energy function is used to investigate the rotational dynamics of the system. It is found that the classical energy function exhibits two minima starting from a critical angular momentum value which depends on the single-particle configuration and the asymmetry measure $\gamma$. The emergence of the two minima is attributed to the breaking of the chiral symmetry. Quantizing the energy function for a given angular momentum, one obtains a Schrödinger equation with a coordinate dependent mass term for a symmetrical potential which changes from a single to a double well shape as the angular momentum pass the critical value. The energies of the chiral partner bands for a given angular momentum are then given by the lowest two eigenvalues. The procedure is exemplified for maximal triaxiality and two $h_{11/2}$ quasiparticles, with the results used for the description of the chiral doublet bands in ${}^{134}$Pr.

arXiv comment12 pages, 10 figures, 1 table

References in corpus (25)

• Chirality of nuclear rotation
• From chiral vibration to static chirality in ^{135}Nd
• Chirality in odd-$A$ nucleus ${}^{135}$Nd in particle rotor model
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• Open Problems in Understanding the Nuclear Chirality
• 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
• Multiple Chirality in Nuclear Rotation: A Microscopic View
• Analytical solution for the Davydov-Chaban Hamiltonian with sextic potential for $\gamma =30^{\circ }$
• Triaxial projected shell model study of chiral rotation in odd-odd nuclei
• Doublet bands in ${}^{126}$Cs in the triaxial rotor model coupled with two quasiparticles
• Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones
• Collective Hamiltonian for chiral modes
• A hybrid version of the tilted axis cranking model and its application to ^{128}Ba
• Chiral vibrations in the A=135 region
• Two-dimensional collective Hamiltonian for chiral and 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
• Tilted-axis wobbling in odd-mass nuclei
• New Description of the Doublet Bands in Doubly Odd Nuclei
• Semiclassical unified description of wobbling motion in even-even and even-odd nuclei
• Wobbling geometry in simple triaxial rotor
• A new picture for the chiral symmetry properties within a particle-core framework
• Chiral geometry in multiple chiral doublet bands

Cited by in corpus (3)

• Behavior of the collective rotor in nuclear chiral motion
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Harmonic chiral vibration in triaxial nuclei