Chirality in odd-$A$ nucleus ${}^{135}$Nd in particle rotor model

Abstract

A particle rotor model is developed which couples several valence protons and neutrons to a rigid triaxial rotor core. It is applied to investigating the chirality in odd-$A$ nucleus ${}^{135}$Nd with $\pi h_{11/2}^2\otimes \nu h_{11/2}^{-1}$ configuration for the first time in a fully quantal approach. For the two chiral sister bands, the observed energies and the $B(M1)$ and $B(E2)$ values for the in-band as well as interband transitions are reproduced excellently. Root mean square values of the angular momentum components and their probability distributions are used for discussing in detail the chiral geometry of the aplanar rotation and its evolution with angular momentum. Chirality is found to change from a soft chiral vibration to nearly static chirality at spin $I=39/2$ and back to another type of chiral vibration at higher spin.

16 pages, 5 figures

References in corpus (10)

• Multi chiral-doublets in one single nucleus
• Chirality of nuclear rotation
• From chiral vibration to static chirality in ^{135}Nd
• Chiral bands for quasi-proton and quasi-neutron coupling with a triaxial rotor
• 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
• Candidate chiral doublet bands in the odd-odd nucleus ${}^{126}$Cs
• Doublet bands in ${}^{126}$Cs in the triaxial rotor model coupled with two quasiparticles
• Chiral vibrations in the A=135 region

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• Collective Hamiltonian for wobbling modes
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• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Chirality of ${}^{135}$Nd reexamined: Evidence for multiple chiral doublet bands
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• Dynamics of rotation in chiral nuclei
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band
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• Recent progress in multiple chiral doublet bands
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• Coexistence of planar and aplanar rotations in ${}^{195}$Tl
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• Chiral geometry in multiple chiral doublet bands
• Covariant density functional theory for nuclear chirality in ${}^{135}$Nd
• Chiral dynamics in soft triaxial nuclei
• Electromagnetic transitions in multiple chiral doublet bands
• Pseudo spin doublet bands and Gallagher Moszkowski doublet bands in ${}^{100}$Y
• The role of scalar and mass interactions in a relativistic model of the charmonium spectrum
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