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The most important features of the pseudo SU(3) model are reviewed. This description of heavy deformed nuclei is based on pseudo spin symmetry, and is able to correctly predict the collective spectra and their transition amplitudes, using…

核理论 · 物理学 2007-05-23 Jorge G. Hirsch , Octavio Castaños , Peter O. Hess

It is argued that there exist natural shell model spaces optimally adapted to the operation of two variants of Elliott' SU3 symmetry that provide accurate predictions of quadrupole moments of deformed states. A selfconsistent Nilsson-like…

核理论 · 物理学 2019-05-28 A. P. Zuker , A. Poves , F. Nowacki , S. M. Lenzi

The anomalous low-energy $E2$-related behavior of a triaxially-deformed nucleus bas been identified and analyzed based on the SU(3) algebraic theory within the framework of the interacting boson model. The results show striking features…

核理论 · 物理学 2025-08-01 Yu Zhang , Ying-Wen He , D. Karlsson , Chong Qi , Feng Pan , J. P. Draayer

The quasiclassically exact solution for the second inertial parameter $\cal B$ is found in self-consistent way. It is shown that superdeformation and nonuniform pairing arising from the rotation induced pair density significantly reduce…

核理论 · 物理学 2009-11-06 Igor Pavlichenkov

Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a particle-boson core coupling model. The boson…

核理论 · 物理学 2017-07-12 K. Nomura , T. Nikšić , D. Vretenar

The correlation between $B(E2)$ structure and triaxial deformation has been investigated within the framework of the proton-neutron boson model. The analysis reveals that the distinctive feature, characterized by…

核理论 · 物理学 2025-08-22 Wei Teng , Sheng Nan Wang , Yu Zhang , Xian Zhi Zhao , Xi Deng , Xiao Tong Li

Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the…

核理论 · 物理学 2020-03-17 M. Chabab , A. El Batoul , I. El-ilali , A. Lahbas , M. Oulne

In this paper, we have studied the energy spectra and B(E2) transition probabilities of 124-130Ba isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes. We have used a transitional…

核理论 · 物理学 2016-11-23 H. Sabri , M. Seidi

Analytical expressions of the wave functions are derived for a Bohr Hamiltonian with the Manning{Rosen potential in the cases of {\gamma}-unstable nuclei and axially symmetric prolate deformed ones with {\gamma}=0. By exploiting the results…

核理论 · 物理学 2016-05-23 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

The generalised deformed su_{q}(2) model is applied to 79 superdeformed bands in the region A~190. The transition energies and the moments of inertia are calculated within the model, Its validity is investigated by comparing it with the…

核理论 · 物理学 2009-06-30 H. H. Alharbi , H. A. Alhendi , F. S. Alhakami

The emergence of triaxiality in the low-lying collective bands of $^{166}$Er is systematically explored within the SU3-IBM. In this framework, SU(3) higher-order interactions are included, which enable the descriptions of various quadrupole…

核理论 · 物理学 2026-04-07 Chunxiao Zhou , Xue Shang , Tao Wang

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

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

A variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the…

核理论 · 物理学 2009-11-07 V. Velazquez , J. G. Hirsch , A. Frank , A. P. Zuker

With the aim to get a general understanding of rotational bands in the deformed rare-earth region or in deformed nuclei in general, the observed normal-deformed rotational structures in $^{167}$Lu are interpreted within the unpaired and…

核理论 · 物理学 2020-02-19 Azam Kardan , Ingemar Ragnarsson , B. Gillis Carlsson , Hai-Liang Ma

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

The interacting boson model is extended to describe the spectroscopy of superdeformed bands. Microscopic structure of the model in the second minimum is discussed and superdeformed bosons are introduced as the new building blocks. Solutions…

核理论 · 物理学 2009-09-25 S. Kuyucak , M. Honma , T. Otsuka

An approximate SU(3) symmetry appears in heavy deformed even-even nuclei, by omitting the intruder Nilsson orbital of highest total angular momentum and replacing the rest of the intruder orbitals by the orbitals which have escaped to the…

Spectroscopic observables such as electromagnetic transitions strengths can be related to the properties of the intrinsic mean-field wave function when the latter are strongly deformed, but the standard rotational formulas break down when…

核理论 · 物理学 2015-06-05 L. M. Robledo , G. F. Bertsch

Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been obtained by using the Asymptotic Iteration Method (AIM) for both gamma-unstable and rotational structures. B(E2) transition rates have been calculated and…

核理论 · 物理学 2015-05-30 I. Inci , D. Bonatsos , I. Boztosun