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Using the contraction of the SU(3) algebra to the algebra of the rigid rotator in the large boson number limit of the Interacting Boson Approximation (IBA) model, a line is found inside the symmetry triangle of the IBA, along which the…

核理论 · 物理学 2011-06-06 Dennis Bonatsos , S. Karampagia , R. F. Casten

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)…

量子物理 · 物理学 2009-02-20 David J. Rowe

The phenomenological symplectic model with a Davidson potential is used to construct rotational states for a rare-earth nucleus with microscopic wave functions. The energy levels and E2 transitions obatined are in remarkably close agreement…

核理论 · 物理学 2009-10-31 C. Bahri , D. J. Rowe

We study the competing order and chaos in a first-order quantum phase transition with a high barrier. The boson model Hamiltonian employed, interpolates between its U(5) (spherical) and SU(3) (deformed) limits. A classical analysis reveals…

核理论 · 物理学 2014-10-15 A. Leviatan , M. Macek

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

We considered the characteristic features of SU(3) partial dynamical symmetry in the interacting boson model framework to demonstrate the relevance of this technique in the nuclear spectroscopy of Dy (A=160) nucleus. The predictions of…

核理论 · 物理学 2018-02-14 N. Fouladi , M. A. Jafarizadeh , J. Fouladi , H. Sabri

The energy dependence of the spectral fluctuations in the interacting boson model (IBM) and its connections to the mean-field structures have been analyzed through adopting two statistical measures, the nearest neighbor level spacing…

核理论 · 物理学 2022-10-05 Yu-Qing Wu , Wei Teng , Xiao-Jie Hou , Gui-Xiu , Yu Zhang , Bing-Cheng He , Yan-An Luo Na

We consider the possibility of identifying nuclei exhibiting the partial dynamical SU(3) symmetry (SU(3)-PDS) as those having excitation energy ratio R(4/2)>3.00 . For this purpose, the level energy spectra of a set of 51 nuclei in the rare…

核理论 · 物理学 2015-06-12 N. Fouladi , J. Fouladi , H. Sabri

We present a comprehensive analysis of the emerging order and chaos and enduring symmetries, accompanying a generic (high-barrier) first-order quantum phase transition (QPT). The interacting boson model Hamiltonian employed, describes a QPT…

核理论 · 物理学 2014-10-01 M. Macek , A. Leviatan

We consider an antiferromagnetic four leg spin-1/2 tube using abelian and non-abelian bosonization. We show that in the limit of weak interchain coupling, the most relevant interaction gives rise to an emergent SU(3)} symmetry, broken only…

强关联电子 · 物理学 2024-05-17 Edmond Orignac

A new dynamical symmetry limit of the two-fluid Interacting Vector Boson Model (IVBM), defined through the chain $Sp(12,R) \supset U(3,3) \supset U^{\ast}(3) \otimes SU(1,1) \supset SU^{\ast}(3) \supset SO(3)$, is introduced. The…

核理论 · 物理学 2011-11-24 H. G. Ganev

We study the classical dynamics in a generic first-order quantum phase transition between the U(5) and SU(3) limits of the interacting boson model. The dynamics is chaotic, of H\'enon-Heiles type, in the spherical phase and is regular, yet…

核理论 · 物理学 2013-04-17 M. Macek , 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

The level statistics of SU(3)-SU(3)* transitional region of IBM is described by the nearest neighbor spacing distribution statistics. The energy levels are determined by using the SO(6)representation of eigenstates. By employing the MLE…

核理论 · 物理学 2014-02-13 M. A. Jafarizadeh , N. Fouladi , H. Sabri , P. Hossein nezhade gavifekr , Z. Ranjbar

It is shown that the spectrum of the asymmetric rotor can be realized quantum mechanically in terms of a system of interacting bosons. This is achieved in the SU(3) limit of the interacting boson model by considering higher-order…

核理论 · 物理学 2009-10-31 Yuri F. Smirnov , Nadya A. Smirnova , Piet Van Isacker

We consider a system of interacting spinless fermions on a two-leg triangular ladder with $\pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total…

The SU(4) algebraic model of high-temperature superconductivity is studied employing the boson mapping techniques. The bosonization of the model enables us to get exact numerical solution of the model. The order parameters are discussed.…

超导电性 · 物理学 2007-05-23 J. Dobes

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

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

The one-dimensional electron gas exhibits spin-charge separation and power-law spectral responses to many experimentally relevant probes. Ordering in a quasi one-dimensional system is necessarily associated with a dimensional crossover, at…

超导电性 · 物理学 2009-10-31 E. W. Carlson , D. Orgad , S. A. Kivelson , V. J. Emery
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