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Inter-band B(E2) transition strengths between different normal parity bands in 163Dy and 165Er are described using the pseudo-SU(3) model. The Hamiltonian includes Nilsson single-particle energies, quadrupole-quadrupole and pairing…

核理论 · 物理学 2009-11-07 C. E. Vargas , J. G. Hirsch , J. P. Draayer

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…

核理论 · 物理学 2017-08-23 Jorge G. Hirsch , Carlos E. Vargas , Gabriela Popa , Jerry P. Draayer

A collective vector-boson model with broken SU(3) symmetry is applied to several deformed even-even nuclei. The model description of ground and $\gamma$ bands together with the corresponding B(E2) transition probabilities is investigated…

核理论 · 物理学 2009-09-25 N. Minkov , S. Drenska , P. Raychev , R. Roussev , Dennis Bonatsos

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…

核理论 · 物理学 2015-06-12 Gabriela Popa , Ana Georgieva

Energy levels of the four lowest bands in 160,162,164Dy and 168Er, B(E2) transition strengths between the levels, and the B(M1) strength distribution of the ground state, all calculated within the framework of pseudo-SU(3) model, are…

核理论 · 物理学 2007-05-23 J. P. Draayer , G. Popa , J. G. Hirsch

The Quasi-SU(3) symmetry was uncovered in full pf and sdg shell-model calculations for both even-even and odd-even nuclei. It manifests itself through a dominance of single-particle and quadrupole-quadrupole terms in the Hamiltonian used to…

核理论 · 物理学 2009-11-06 C. E. Vargas , J. G. Hirsch , J. P. Draayer

The low-energy spectra and B(E2) electromagnetic transition strengths of 159Eu, 159Tb and 159Dy are described using the pseudo SU(3) model. Normal parity bands are built as linear combinations of SU(3) states, which are the direct product…

核理论 · 物理学 2009-11-06 C. E. Vargas , J. G. Hirsch , T. Beuschel , J. P. Draayer

A collective vector-boson model with broken SU(3) symmetry, in which the ground state band and the lowest $\gamma$ band belong to the same irreducible representation but are non-degenerate, is applied to several deformed even-even nuclei.…

核理论 · 物理学 2009-09-25 N. Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , D. Bonatsos

Symmetries are manifested in nature through degeneracies in the spectra of physical systems. In the case of heavy deformed nuclei, when described in the framework of the Interacting Boson Model, within which correlated proton (neutron)…

Normal parity bands are studied in 157Gd, 163Dy and 169Tm using the pseudo SU(3) shell model. Energies and B(E2) transition strengths of states belonging to six low-lying rotational bands with the same parity in each nuclei are presented.…

核理论 · 物理学 2009-11-07 C. E. Vargas , J. G. Hirsch , J. P. Draayer

Rotational bands of positive and negative parity are frequently found experimentally in heavy deformed even-even nuclei along with their corresponding $E2$ intra-band and $E1$ inter-band transitions. In $SU(3)$ symmetry-based models,…

核理论 · 物理学 2025-08-27 Alejandro Restrepo , José P. Valencia

Background: Microscopic calculations of heavy nuclei face considerable difficulties due to the sizes of the matrices that need to be solved. Various approximation schemes have been invoked, for example by truncating the spaces, imposing…

The study of the structure of the 0+ spectrum in heavy nuclei has drawn much attention in the last two decades. In this contribution we study their properties from a microscopic point of view. The pseudo-SU(3) model (\tilde{SU}(3)) is…

核理论 · 物理学 2026-04-27 Peter O. Hess , Sahila Chopra

Shell model and interacting boson model spaces admit multiple $SU^{(\alpha)}(3)$ algebras generating the same rotational spectra but different $E2$ decay properties, depending on the phases ${\alpha}$ in the quadrupole generator. In the…

核理论 · 物理学 2021-11-08 V. K. B. Kota , R. Sahu

The rapid increase of computational power over the last several years has allowed detailed microscopic investigations of the structure of many nuclei in terms of Relativistic Mean Field theories as well as in the framework of the no-core…

核理论 · 物理学 2019-12-25 D. Bonatsos , A. Martinou , I. E. Assimakis , S. Sarantopoulou , S. Peroulis , N. Minkov

We consider several variants of SU(3) partial dynamical symmetry in relation to quadrupole shapes in nuclei. Explicit construction of Hamiltonians with such property is presented in the framework of the interacting boson model (IBM),…

核理论 · 物理学 2020-10-26 A. Leviatan

The quasi-SU(3) symmetry, as found in shell model calculations, refers to the dominance of the single particle plus quadrupole-quadrupole terms in the Hamiltonian used to describe well deformed nuclei, and to the subspace relevant in its…

核理论 · 物理学 2007-05-23 C. E. Vargas , J. G. Hirsch , J. P. Draayer

A pseudo shell SU(3) model description of normal parity bands in 159-Tb is presented. The Hamiltonian includes spherical Nilsson single-particle energies, the quadrupole-quadrupole and pairing interactions, as well as three rotor terms. A…

核理论 · 物理学 2011-07-19 C. E. Vargas , J. G. Hirsch , J. P. Draayer

Even--even nuclei in the $A\sim100$ mass region are investigated within the framework of the interacting boson model-1 ({IBM-1}). The study includes energy spectra and electric quadrupole transition properties of zirconium, molybdenum,…

核理论 · 物理学 2012-01-27 M. Böyükata , P. Van Isacker , I. Uluer

We derive analytic expressions for the energies and $B(E2)$-transition probabilities in the states of the ground and $\gamma$ bands of heavy deformed nuclei within a collective Vector-Boson Model with SU(3) dynamical symmetry. On this basis…

核理论 · 物理学 2009-11-06 Nikolay Minkov , S. B. Drenska , P. P. Raychev , R. P. Roussev , Dennis Bonatsos
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