Description of Multi Quasi Particle Bands by the Tilted Axis Cranking Model

Abstract

The selfconsistent cranking approach is extended to the case of rotation about an axis which is tilted with respect to the principal axes of the deformed potential (Tilted Axis Cranking). Expressions for the energies and the intra bands electromagnetic transition probabilities are given. The mean field solutions are interpreted in terms of quantal rotational states. The construction of the quasiparticle configurations and the elimination of spurious states is discussed. The application of the theory to high spin data is demonstrated by analyzing the multi quasiparticle bands in the nuclide-s with $N=102,103$ and $Z=71,72,73$.

23 pages 27 figures

Cited by in corpus (46)

• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• From chiral vibration to static chirality in ^{135}Nd
• 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
• Transverse wobbling-a collective mode in odd-A triaxial nuclei
• Transverse Wobbling in ${}^{135}$Pr
• Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones
• Specific features and symmetries for magnetic and chiral bands in nuclei
• Measured g factors and the tidal-wave description of transitional nuclei near A = 100
• Impact of pairing correlations on the orientation of the nuclear
• Beyond the Unified Model
• Chiral vibrations in the A=135 region
• Two-dimensional collective Hamiltonian for chiral and wobbling modes
• Magnetic rotations in 198Pb and 199Pb within covariant density functional theory
• Transverse wobbling in an even-even nucleus
• Diversity of shapes and rotations in the gamma-soft 130Ba nucleus: first observation of a t-band in the A=130 mass region
• Relation between Wigner energy and proton-neutron pairing
• QRPA treatment of the transverse wobbling mode reconsidered
• Instability of nuclear wobbling motion and tilted axis rotation
• Quadrupole Moments of Collective Structures up to Spin $\sim$ $65\hslash$ in ${}^{157}$Er and ${}^{158}$Er: A Challenge for Understanding Triaxiality in Nuclei
• Evidence for particle-hole excitations in the triaxial strongly-deformed well of ^{163}Tm
• Tidal Waves -- a non-adiabatic microscopic description of the yrast states in near-spherical nuclei
• Dynamics of rotation in chiral nuclei
• Quasiparticle and $\gamma$-band structures in ${}^{156}$Dy
• The Low-Energy Quadrupole Mode of Nuclei
• Nuclear superfluidity for antimagnetic rotation in ${}^{105}$Cd and ${}^{106}$Cd
• Yrast band of 109Ag described by tilted axis cranking covariant density functional theory with a separable pairing force
• High-K Precession modes: Axially symmetric limit of wobbling motion
• Self-consistent tilted-axis-cranking study of triaxial strongly deformed bands in ${}^{158}$Er at ultrahigh spin
• Rotational motion of triaxially deformed nuclei studied by microscopic angular-momentum-projection method II: Chiral doublet band
• Tidal Waves in ${}^{102}$Pd: A Rotating Condensate of Multiple $d$ bosons
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Effects of proton angular momentum alignment on the two-shears-like mechanism in ${}^{101}$Pd
• Nuclear level densities and gamma-ray strength functions of ${}^{180,181,182}$Ta
• Lifetime measurements of Triaxial Strongly Deformed bands in ${}^{163}$Tm
• Angular momentum projected multi-cranked configuration mixing for reliable calculation of high-spin rotational bands
• Level Structure of 103Ag at high spins
• Possible antimagnetic rotation bands in ${}^{100}$Pd: a particle-number conserving investigation
• Theoretical investigation of the antimagnetic rotation in ${}^{104}$Pd
• Instantaneous Shape Sampling - a model for the $\gamma$-absorption cross section of transitional nuclei
• A self-consistent quantal description of high-K states in the tilted-axis cranking model
• High spin states of ${}^{204}$At: isomeric states and shears band structure
• Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in ${}^{152}$Dy and ${}^{194}$Hg
• Calculation of strongly-coupled rotational bands in terms of the tilted axis cranking model
• The coexistence of possible magnetic and chiral rotation in ${}^{129}\mathrm{Cs}$ and ${}^{131}\mathrm{La}$: a microscopic investigation
• Coriolis coupling effects in proton-pickup spectroscopic factors from ${}^{12}$B