# SU(3) symmetry and scissors mode vibrations in nuclei

@article{Sun2002SU3SA, title={SU(3) symmetry and scissors mode vibrations in nuclei}, author={Yang Sun and Cheng-li Wu and Kumar H. Bhatt and Mike Guidry}, journal={Nuclear Physics}, year={2002}, volume={703}, pages={130-151} }

Abstract We show that a nearly perfect SU (3) symmetry emerges from an extended projected shell model. Starting from a deformed potential we construct separate bases for neutron and proton collective rotational states by exact angular momentum projection. These rotational states are then coupled by diagonalizing a residual pairing plus quadrupole interaction. The states obtained exhibit a one-to-one correspondence with an SU (3) spectrum up to high angular momentum and excitation, and their…

## 11 Citations

Coupled SU(3) models of rotational states in nuclei and quasi-dynamical symmetry

- Physics
- 2006

Abstract This paper reports a first step towards the development of a model of low-lying nuclear collective states based on the progression from weak to strong coupling of a combination of systems in…

The nuclear scissors mode in a solvable model

- Physics
- 2004

Abstract The coupled dynamics of the scissors mode and the isovector giant quadrupole resonance is studied in a model with separable quadrupole-quadrupole residual interactions. The method of Wigner…

Multishell shell model for heavy nuclei

- Physics
- 2003

Performing a shell-model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here, we propose one possible solution. The central idea of this proposal is to combine the…

Basis-dependent measures and analysis uncertainties in nuclear chaoticity

- Physics
- 2020

Abstract Chaoticity in nuclei is usually measured by the information entropy through analyzing wave functions, or by spectral statistics with the spectral rigidity and the nearest neighbor level…

MULTI-MAJOR-SHELL SHELL MODEL FOR HEAVY NUCLEI–AN EXTENDED PROJECTED SHELL MODEL

- Physics
- 2008

The projected shell model (PSM) in its original version is an efficient shell model truncation scheme for well deformed nuclei. However, the model is applicable only to rotational motion, but not…

Shell-like quarteting in heavy nuclei: Algebraic approaches based on the pseudo- and proxy-SU(3) schemes

- Physics
- 2020

Background: The semimicroscopic algebraic quartet model (SAQM) generates the excitation spectra of shell-like quartets, formed by two protons and two neutrons in a well-defined shell configuration.…

Algebraic models for shell-like quarteting of nucleons

- Physics
- 2015

Abstract Algebraic models are proposed for the description of the shell-like quarteting of the nucleons both on the phenomenologic and on the semimicroscopic levels. In the former one the quartet is…

Implications of deformation and shape coexistence for the nuclear shell model.

- Physics, MedicinePhysical review letters
- 2006

Criteria for identifying the shell-model configurations appropriate for describing bands of states for which the sequential filling of single-particle energy levels of the spherical shell model are not respected is proposed.

Probing the E2 properties of the scissors mode with real photons

- Physics
- 2018

The E2/M1 multipole mixing ratio δ1→2 of the 1+ sc → 2+ 1 γ -ray transition of 156 Gd and 164 Dy has been measured using the linearly polarized photon beams of the HIγ S facility. The employed method…

Analyses of β −Bands of 230,232 Th and 232,234 U by the Projected Shell Model

- Physics
- 2012

The ground bands and β-bands of four nuclei 230,232Th and 232,234U in the actinide region are investigated by introducing a collective D0 pair into the projected shell model. We discuss the…

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