Interacting two-vector-boson model of collective motions in nuclei

Georgieva, A. I.; Raychev, P. P.; Roussev, R. P.

doi:10.1088/0305-4616/8/10/008

Cited by 60 publications

(115 citation statements)

References 12 publications

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“…The annihilation operators are obtained by the conjugation (u + m (α)) † = u m (α) and transform according to the conjugate SU(3) representations (0,1). The bilinear products of the creation and annihilation operators of the two vector bosons generate the noncompact symplectic group Sp(12, R) [8]:…”

Section: Algebraic Basis Of the Ivbmmentioning

confidence: 99%

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Description of the ground and octupole bands in the symplectic extension of the interacting vector boson model

2004

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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 bands investigated in the model are extended to very high angular momenta as a result of their consideration as "yrast" bands with respect to the symplectic classification of the basis states. The analysis of the eigenvalues of the model Hamiltonian reveals the presence of an interaction between these bands. Due to this iteraction the ∆L = 1 staggering effect between the energies of the states of two bands is also reproduced including the "beat" patterns.

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Section: Algebraic Basis Of the Ivbmmentioning

confidence: 99%

“…We consider Sp(12, R) to be the group of the dynamical symmetry of the model [8]. Hence the most general one and two-body Hamiltonian can be expressed in terms of its generators .…”

Section: Algebraic Basis Of the Ivbmmentioning

confidence: 99%

Description of the ground and octupole bands in the symplectic extension of the interacting vector boson model

2004

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“…This leads to the phenomenological IVBM [4], where Sp(12, R) -the group of linear canonical transformation in a 12-dimensional phase space [19] -appears as the dynamical symmetry of the model. The sp(12, R) algebra is realized in terms of creation (annihilation) operators u + m (α)(u m (α)), in a 3-dimensional oscillator potential m = 0, ±1 of two types of bosons differing by the value of the "pseudo-spin" projection α = p = 1/2 and α = n = −1/2 .…”

Section: New Dynamical Symmetry In the Ivbm A Group Theoreticalmentioning

confidence: 99%

“…The commutation relations between the pair creation and annihilation operators (15) and the number preserving operators (16) are calculated in [4]. The set of operators (16) close under commutation to form the algebra of the maximal compact subgroup of Sp(12, R) ⊃ U (6).…”

Section: New Dynamical Symmetry In the Ivbm A Group Theoreticalmentioning

confidence: 99%

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Six-dimensional Davidson potential as a dynamical symmetry of the symplectic interacting vector boson model

2005

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A six-dimensional Davidson potential, introduced within the framework of the Interacting Vector Boson Model (IVBM), is used to describe nuclei that exhibit transitional spectra between the purely rotational and vibrational limits of the theory. The results are shown to relate to a new dynamical symmetry that starts with the Sp(12, R) ⊃ SU (1, 1) × SO(6) reduction. Exact solutions for the eigenstates of the model Hamiltonian in the basis defined by a convenient subgroup chain of SO (6) are obtained. A comparison of the theoretical results with experimental data for heavy nuclei with transitional spectra illustrates the applicability of the theory.

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Staggering Effects in Nuclear and Molecular Spectra

Bonatsos

Karoussos

Daskaloyannis

et al. 2001

New Trends in Quantum Systems in Chemistry and Physics

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It is shown that the recently observed ∆J = 2 staggering effect (i.e. the relative displacement of the levels with angular momenta J, J + 4, J + 8, . . . , relatively to the levels with angular momenta J + 2, J + 6, J + 10, . . . ) seen in superdeformed nuclear bands is also occurring in certain electronically excited rotational bands of diatomic molecules (YD, CrD, CrH, CoH), in which it is attributed to interband interactions (bandcrossings). In addition, the ∆J = 1 staggering effect (i.e. the relative displacement of the levels with even angular momentum J with respect to the levels of the same band with odd J) is studied in molecular bands free from ∆J = 2 staggering (i.e. free from interband interactions/bandcrossings). Bands of YD offer evidence for the absence of any ∆J = 1 staggering effect due to the disparity of nuclear masses, while bands of sextet electronic states of CrD demonstrate that ∆J = 1 staggering is a sensitive probe of deviations from rotational behaviour, due in this particular case to the spin-rotation and spin-spin interactions.

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Interacting two-vector-boson model of collective motions in nuclei

Cited by 60 publications

References 12 publications

Description of the ground and octupole bands in the symplectic extension of the interacting vector boson model

Description of the ground and octupole bands in the symplectic extension of the interacting vector boson model

Six-dimensional Davidson potential as a dynamical symmetry of the symplectic interacting vector boson model

Staggering Effects in Nuclear and Molecular Spectra

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