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The present status of the mapped interacting boson model studies on nuclear structure is reviewed. With the assumption that the nuclear surface deformation induced by the multi-nucleon dynamics is simulated by bosonic degrees of freedom,…

Nuclear Theory · Physics 2025-06-19 Kosuke Nomura

An interacting-boson-model-1 (IBM-1) Hamiltonian, derived from self-consistent mean-field calculations using a Skyrme energy density functional is employed for the study of energy spectra and $B(E2)$ transition strengths in the even-even…

Nuclear Theory · Physics 2024-07-11 Polytimos Vasileiou , Dennis Bonatsos , Theo J. Mertzimekis

A coherent state technique is used to generate an Interacting Boson Model (IBM) Hamiltonian energy surface that simulates a mean field energy surface. The method presented here has some significant advantages over previous work.…

Nuclear Theory · Physics 2015-03-18 I. Bentley , S. Frauendorf

In this paper, we have considered the interplay between phase transitions and configuration mixing of intruder excitations in the 118-128Te isotopes. A transitional interacting boson model Hamiltonian in both IBM-1 and IBM-2 versions which…

Nuclear Theory · Physics 2016-03-11 H. Sabri , Z. Jahangiri , M. A. Mohammadi

We investigate the evolution of quantal spectra and the corresponding wave functions along the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model. The model is integrable in this regime and its ground state passes through a…

Nuclear Theory · Physics 2009-11-11 Stefan Heinze , Pavel Cejnar , Jan Jolie , Michal Macek

Recently the interacting bosom model with $SU(3)$ higher-order interactions was proposed by one of the authors, wherein unexpected $\gamma$-softness can be emerged in this new model. This stimulates further discussion on the connections of…

Nuclear Theory · Physics 2023-02-15 Chunxiao Zhou , Tao Wang

The oft-observed persistence of symmetry properties in the face of strong symmetry-breaking interactions is examined in the SO(5)-invariant interacting boson model. This model exhibits a transition between two phases associated with U(5)…

Quantum Physics · Physics 2009-02-20 David J. Rowe

We propose a novel formulation of the Interacting Boson Model (IBM) for rotational nuclei with axially-symmetric strong deformation. The intrinsic structure represented by the potential energy surface (PES) of a given multi-nucleon system…

Nuclear Theory · Physics 2011-07-19 Kosuke Nomura , Takaharu Otsuka , Noritaka Shimizu , Lu Guo

Dipole bosons are introduced in the interacting boson model (IBM) by means of the self-consistent mean-field method. The constrained mean-field calculations employing a given nuclear energy density functional yield the potential energy…

Nuclear Theory · Physics 2025-10-21 K. Nomura

Davidson potentials of the form $\beta^2 +\beta_0^4/\beta^2$, when used in the original Bohr Hamiltonian for $\gamma$-independent potentials bridge the U(5) and O(6) symmetries. Using a variational procedure, we determine for each value of…

Nuclear Theory · Physics 2009-11-10 Dennis Bonatsos , D. Lenis , N. Minkov , D. Petrellis , P. P. Raychev , P. A. Terziev

The extended interacting boson model with s-, p-, d-, f- and g-bosons being included (spdfg IBM) are investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical symmetry and the…

Nuclear Theory · Physics 2008-11-26 Jing-sheng Li , Yu-xin Liu , Peng Gao

The influences of triaxial dynamics on the anomalous $E2$ transitional behaviors in the interacting boson model (IBM) have been comprehensively examined without symmetry restrictions. Specifically, different triaxial schemes in the IBM have…

Nuclear Theory · Physics 2025-08-22 Yu Zhang , Wei Teng

We study the energy level statistics of the states in U(5) and O(6) dynamical symmetries of the interacting boson model and the high spin states with backbending in U(5) symmetry. In the calculations, the degeneracy resulting from the…

Nuclear Theory · Physics 2009-11-07 Jing Shu , Ying Ran , Tao Ji , Yu-Xin Liu

Background: The Po, Pb, Hg, and Pt region is known for the presence of coexisting structures that correspond to different particle-hole configurations in the Shell Model language or equivalently to nuclear shapes with different deformation.…

Nuclear Theory · Physics 2015-06-18 J. E. Garcia-Ramos , K. Heyde

Exact numerical diagonalization is carried out for the Bohr Hamiltonian with a beta-soft, axially stabilized potential. Wave function and observable properties are found to be dominated by strong beta-gamma coupling effects. The validity of…

Nuclear Theory · Physics 2007-05-23 M. A. Caprio

This review is focused on various properties of quantum phase transitions (QPTs) in the Interacting Boson Model (IBM) of nuclear structure. The model in its infinite-size limit exhibits shape-phase transitions between spherical, deformed…

Nuclear Theory · Physics 2008-12-18 Pavel Cejnar , Jan Jolie

In the framework of the interacting boson model the three transitional regions (rotational-vibrational, rotational-$\gamma$-unstable and, vibrational-$\gamma$-unstable transitions) are reanalyzed. A new kind of plot is presented for…

Nuclear Theory · Physics 2012-07-30 J. E. Garcia-Ramos , C. De Coster , R. Fossion , K. Heyde

This article continues our previous study of level dynamics in the [O(6)-U(5)]$\supset$O(5) transition of the interacting boson model [nucl-th/0504016] using the semiclassical theory of spectral fluctuations. We find classical monodromy,…

Nuclear Theory · Physics 2009-11-11 Michal Macek , Pavel Cejnar , Jan Jolie , Stefan Heinze

IBM-1} calculations for the fission products $^{108,110,112}$Ru have been carried out. The even-even isotopes of Ru can be described as transitional nuclei situated between the U(5) (spherical vibrator) and SO(6) ($\gamma$-unstable rotor)…

Over the years, studies of collective properties of medium and heavy mass nuclei in the framework of the Interacting Boson Approximation (IBA) model have focused on finite boson numbers, corresponding to valence nucleon pairs in specific…

Nuclear Theory · Physics 2008-07-29 Dennis Bonatsos , E. A. McCutchan , R. F. Casten