Specific features and symmetries for magnetic and chiral bands in nuclei

Abstract

Magnetic and chiral bands have been a hot subject for more than twenty years. Therefore, quite large volumes of experimental data as well as theoretical descriptions have been accumulated. Although some of the formalisms are not so easy to handle, the results agree impressively well with the data. The objective of this paper is to review the actual status of both experimental and theoretical investigations. Aiming at making this material accessible to a large variety of readers, including young students and researchers, I gave some details on the schematic models which are able to unveil the main features of chirality in nuclei. Also, since most formalisms use a rigid triaxial rotor for the nuclear system's core, I devoted some space to the semi-classical description of the rigid triaxial as well as of the tilted triaxial rotor. In order to answer the question whether the chiral phenomenon is spread over the whole nuclear chart and whether it is specific only to a certain type of nuclei, odd-odd, odd-even or even-even, the current results in the mass regions of $A\sim 60,80,100,130,180,200$ are briefly described for all kinds of odd/even-odd/even systems. The chiral geometry is a sufficient condition for a system of proton-particle, neutron-hole and a triaxial rotor to have the electromagnetic properties of chiral bands. In order to prove that such geometry is not unique for generating magnetic bands with chiral features, I presented a mechanism for a new type of chiral bands. One tries to underline the fact that this rapidly developing field is very successful in pushing forward nuclear structure studies.

80 pages, 22 figures

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Cited by in corpus (21)

• Nuclear chiral doublet bands data tables
• 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
• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Chirality of ${}^{135}$Nd reexamined: Evidence for multiple chiral doublet bands
• Behavior of the collective rotor in nuclear chiral motion
• Selection rules of electromagnetic transitions for chirality-parity violation in atomic nuclei
• Recent progress in multiple chiral doublet bands
• Static quadrupole moments of nuclear chiral doublet bands
• 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
• Possible chiral doublets in ${}^{60}$Ni
• Multiple chiral bands in ${}^{137}$Nd
• A new approach for the wobbling motion in the even-odd isotopes ${}^{161,163,165,167}$Lu
• Coexistence of planar and aplanar rotations in ${}^{195}$Tl
• Wobbling motion in ${}^{165,167}$Lu within a semi-classical framework
• A new boson approach for the wobbling motion in even-odd nuclei
• The evolution of the chiral symmetry in cesium isotopes
• Towards a new semi-classical interpretation of the wobbling motion in ${}^{163}$Lu
• Harmonic chiral vibration in triaxial nuclei
• Parity Partner Bands in ${}^{163}$Lu: A novel approach for describing the negative parity states from a triaxial super-deformed band