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The orthosymplectic extension of the Interacting Vector Boson Model (IVBM) is used for the simultaneous description of the spectra of different families of neighboring heavy nuclei. The structure of even-even nuclei is used as a core on…

核理论 · 物理学 2011-03-15 H. G. Ganev , A. I. Georgieva

In the framework of the symplectic extension of the Interacting Vector Boson Model (IVBM) a good description of the first excited positive and negative parity bands of the nuclei in the rare earth and the actinide region is achieved. The…

核理论 · 物理学 2016-09-08 H. Ganev , V. P. Garistov , A. I. Georgieva

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 generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have…

核理论 · 物理学 2009-04-09 J. E. Garcia-Ramos , A. Leviatan , P. Van Isacker

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

The exact solution of the boson pairing hamiltonian given by Richardson in the sixties is used to study the phenomena of level crossings and quantum phase transitions in the integrable regions of the sd and sdg interacting boson models.

核理论 · 物理学 2017-08-23 J. Dukelsky , J. M. Arias , J. E. Garcia-Ramos , S. Pittel

We use self-consistent mean-field methods in combination with the interacting boson model (IBM) of nuclei, to establish a linkage between universal energy density functionals (EDFs) and partial dynamical symmetry (PDS). An application to…

核理论 · 物理学 2022-02-15 A. Leviatan , N. Gavrielov , K. Nomura

A class of three-dimensional models which satisfy supersymmetric intertwining relations with the simplest - oscillator-like - variant of shape invariance is constructed. It is proved that the models are not amenable to conventional…

高能物理 - 理论 · 物理学 2015-06-12 M. S. Bardavelidze , F. Cannata , M. V. Ioffe , D. N. Nishnianidze

In terms of the Interacting Boson Model, shape invariants for the ground state, formed by quadrupole moments up to sixth order, are studied in the dynamical symmetry limits and, for the first time, over the whole structural range of the…

核理论 · 物理学 2009-11-06 V. Werner , N. Pietralla , P. von Brentano , R. F. Casten , R. V. Jolos

Adiabatic nucleon-nucleon potentials are calculated in a six-quark nonrelativistic chiral constituent quark model where the Hamiltonian contains a linear confinement and a pseudoscalar meson (Goldstone boson) exchange interaction between…

高能物理 - 唯象学 · 物理学 2009-10-31 D. Bartz , Fl. Stancu

We discuss the symmetry of the parameter space of the interacting boson model (IBM). It is shown that for any set of the IBM Hamiltonian parameters (with the only exception of the U(5) dynamical symmetry limit) one can always find another…

核理论 · 物理学 2016-08-15 Andrey M. Shirokov , N. A. Smirnova , Yu. F. Smirnov

In a new application of the algebraic Interacting Vector Boson Model (IVBM), we exploit the reduction of its Sp(12,R) dynamical symmetry group to Sp(4,R) x SO(3), which defines basis states with fixed values of the angular momentum L. The…

核理论 · 物理学 2009-11-10 H. G. Ganev , V. P. Garistov , A. I. Georgieva , J. P. Draayer

We show that a vibrational interpretation and good U(5) symmetry are maintained for the majority of low-lying normal states in $^{110,112,114,116}$Cd isotopes, consistent with the empirical data. The observed deviations from this paradigm…

核理论 · 物理学 2025-04-16 A. Leviatan , J. E. Garcí a-Ramos , N. Gavrielov , P. Van Isacker

Spectroscopic calculations are carried out, for the description of the shape/phase transition in Pt nuclei in terms of the Interacting Boson Model (IBM) Hamiltonian derived from (constrained) Hartree-Fock-Bogoliubov (HFB) calculations with…

核理论 · 物理学 2011-03-02 K. Nomura , T. Otsuka , R. Rodriguez-Guzman , L. M. Robledo , P. Sarriguren

A supersymmetric extension of the dynamical symmetry group $Sp^{B}(12,R)$ of the Interacting Vector Boson Model (IVBM), to the orthosymplectic group $OSp(2\Omega/12,R)$ is developed in order to incorporate fermion degrees of freedom into…

核理论 · 物理学 2008-11-26 H. G. Ganev

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

核理论 · 物理学 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , D. Vretenar

Exact solutions of the Bohr Hamiltonian with a five-dimensional square well potential, in isolation or coupled to a fermion by the five-dimensional spin-orbit interaction, are considered as examples of a new class of dynamical symmetry or…

核理论 · 物理学 2008-11-26 M. A. Caprio , F. Iachello

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…

核理论 · 物理学 2011-07-19 Kosuke Nomura , Takaharu Otsuka , Noritaka Shimizu , Lu Guo

Spectroscopic properties of odd-mass nuclei are studied within the framework of the interacting boson-fermion model (IBFM) with parameters based on the Hartree-Fock-Bogoliubov (HFB) approximation. The parametrization D1M of the Gogny energy…

核理论 · 物理学 2017-07-25 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

Davidson potentials of the form $\beta^2 +\beta_0^4/\beta^2$, when used in the E(5) framework, bridge the U(5) and O(6) symmetries, while they bridge the U(5) and SU(3) symmetries when used in the X(5) framework. Using a variational…

核理论 · 物理学 2009-11-10 Dennis Bonatsos , D. Lenis , N. Minkov , D. Petrellis , P. P. Raychev , P. A. Terziev