Partial dynamical SU(3) symmetry and the nature of the lowestK=0 collective excitation in deformed nuclei (original) (raw)

Partial dynamical SU (3) symmetry in deformed nuclei

Journal of Physics G: Nuclear and Particle Physics, 1999

We discuss characteristic features of SU (3) partial dynamical symmetry in relation to nuclear spectroscopy and compare with previous broken-SU (3) calculations for 168 Er.

Investigation of low-lying energy spectra for deformed prolate nuclei via partial dynamical SU(3) symmetry

The European Physical Journal Plus, 2015

We consider the possibility of identifying nuclei exhibiting the partial dynamical SU(3) symmetry (SU(3)-PDS) as those having excitation energy ratio 4/2 3.00 R . For this purpose, the level energy spectra of a set of 51 nuclei in the rare earth and actinide regions which presenting an axially deformed prolate rotational structure were analyzed via nuclear partial dynamical SU(3) symmetry in the framework of interacting boson model, to see if the SU(3)-PDS is broadly applicable, and where, how, and in which nuclei it breaks down. Overall, the PDS works very well, the predictions of such intermediate symmetry structure for energy spectrum were compared with the most recent experimental data and an acceptable degree of agreement is achieved. We conclude that PDS predictions have a more regular behavior in description of axially deformed prolate rotational nuclei than DS, which may lead to accurate predictions of such nuclei, and hence play a significant role in understanding the regular behavior of complex nuclei.

1 Identification of Nuclei Exhibiting the SU(3) Dynamical Symmetry

2016

We consider the possibility of identifying nuclei exhibiting the SU(3) dynamical symmetry as those having excitation energy ratio R4/2> 3.25. For this purpose, we consider the level statistics of some of these nuclei and perform interacting boson model (IBM) calculation of level schemes, and electromagnetic transition rates. We show that only some of these nuclei may be considered as good examples of the SU(3) dynamical symmetry.

Description of heavy deformed nuclei within the pseudo-SU(3) shell model

Journal of Physics: Conference Series, 2012

We present a review of the pseudo-SU(3) shell model and its application to heavy deformed nuclei. The model have been applied to describe the low energy spectra, B(E2) and B(M1) values. A systematic study of each part of the interaction within the Hamiltonian was carried out. The study leads us to a consistent method of choosing the parameters in the model. A systematic application of the model for a sequence of rare earth nuclei demonstrates that an overarching symmetry can be used to predict the onset of deformation as manifested through low-lying collective bands.The scheme utilizes an overarching sp(4,R) algebraic framework.

Pseudo + Quasi SU(3): Towards a Shell-Model Description of Heavy Deformed Nuclei

Computational and Group-Theoretical Methods in Nuclear Physics - Proceedings of the Symposium in Honor of Jerry P Draayer's 60th Birthday, 2004

The pseudo-SU(3) model has been extensively used to study normal parity bands in even-even and odd-mass heavy deformed nuclei. The use of a realistic Hamiltonian that mixes many SU(3) irreps has allowed for a successful description of energy spectra and electromagnetic transition strengths. While this model is powerful, there are situations in which the intruder states must be taken into account explicitly. The quasi-SU(3) symmetry is expected to complement the model, allowing for a description of nucleons occupying normal and intruder parity orbitals using a unified formalism.

Identification of nuclei exhibiting the dynamical symmetry

Nuclear Physics A, 2010

We consider the possibility of identifying nuclei exhibiting the SU(3) dynamical symmetry as those having excitation energy ratio R 4/2 > 3.25. For this purpose, we consider the level statistics of some of these nuclei and perform interacting boson model (IBM) calculation of level schemes, and electromagnetic transition rates. We show that only some of these nuclei may be considered as good examples of the SU(3) dynamical symmetry.

Description of octupole-deformed nuclei within the interacting boson and interacting boson-fermion models

Nuclear Physics A, 1995

We carry out an intrinsic frame analysis of octupole-deformed nuclei in the SU(3) limit of the extended interacting boson model. Excited bands associated with nuclei exhibiting permanent octupole deformation are studied, as well as the behaviour of in-band and intra-band transitions, and the results are applied to 226Ra. The coupling of an odd particle to an even core with these characteristics is also discussed.