Beyond the Unified Model

Abstract

The key elements of the Unified Model are reviewed and checked against modern experimental data. For medium-mass or heavy nuclei it is found that separation between collective and intrinsic degrees freedom becomes invalid for after exciting five to ten collective quanta along the yrast line and two quanta above it. The microscopic derivation of the Bohr Hamiltonian by means of adiabatic time-dependent mean field theory is presented and results compared with experiment. The description of the strong coupling between the rotational and intrinsic degrees of freedom in framework of the rotating mean field is described from a conceptual point of view. The classification of rotational bands as configurations of rotating quasiparticles is introduced. Using the concept of spontaneous symmetry breaking the microscopic underpinning of the rotational degrees is refined. Resulting phenomena, as tilted-axis rotation, transverse wobbling, chirality, magnetic rotation, and band termination are discussed.

arXiv comment150 pages, typos corrected, references added

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Cited by in corpus (21)

• Shape of atomic nuclei in heavy ion collisions
• Probing triaxial deformation of atomic nuclei in high-energy heavy ion collisions
• 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
• Diversity of shapes and rotations in the gamma-soft 130Ba nucleus: first observation of a t-band in the A=130 mass region
• Reexamine the nuclear chiral geometry from the orientation of the angular momentum
• Behavior of the collective rotor in nuclear chiral motion
• Selection rules of electromagnetic transitions for chirality-parity violation in atomic nuclei
• Pseudospin symmetry and octupole correlations for multiple chiral doublets in 131Ba
• Static quadrupole moments of nuclear chiral doublet bands
• Recent progress in multiple chiral doublet bands
• Two-dimensional collective Hamiltonian for chiral and wobbling modes II: Electromagnetic transitions
• Multiple chiral bands in ${}^{137}$Nd
• Possible chiral doublets in ${}^{60}$Ni
• Examination of nucleon distribution with Bayesian imaging for isobar collisions
• Coexistence of planar and aplanar rotations in ${}^{195}$Tl
• Galaxy rotation favors prolate dark matter haloes
• Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in ${}^{152}$Dy and ${}^{194}$Hg
• Decoherence of collective motion in warm nuclei
• Multiphonon structure of high-spin states in ${}^{40}$Ca, ${}^{90}$Zr, and ${}^{208}$Pb
• Model for independent particle motion