Spectra and E2 Transition Strengths forN=ZEven–Even Nuclei in IBM-3 Dynamical Symmetry Limits with GoodsanddBoson Isospins

Kota, V. K. B.

doi:10.1006/aphy.1997.5766

Cited by 23 publications

(11 citation statements)

References 32 publications

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“…Embedding algebra for BEGOE(1+2)-S1 is not unique and following the earlier results for the IBM-3 model of atomic nuclei [10,11], it is possible to identify two algebras. They…”

Section: Definition and Constructionsupporting

confidence: 57%

“…(9)- (11). Given the U(Ω) irrep {f 1 f 2 f 3 }, the corresponding SU(3) irrep in Elliott's notation [15] is given by (λµ) where λ = f 1 − f 2 and…”

Section: Definition and Constructionmentioning

confidence: 99%

“…In the BEGOE(1+2)-S1 space, it is possible to identify two different pairing algebras (each defining a particular type of pairing) and they follow from the results in [11,14,24].…”

Section: Pairing Algebras and Ground State Structurementioning

confidence: 99%

“…The purpose of the present paper is to introduce this ensemble and report results of the first analysis, both numerical and analytical, of this ensemble. BEGOE(1+2)-S1 ensemble will be useful for spinor BEC discussed in [8,9] and in the analysis of IBM-3 model of atomic nuclei (here spin S is isospin T of the bosons in IBM-3) [10,11]. Moreover, there is a considerable interest in analyzing a variety of embedded ensembles as they can be used as generic models for many-body chaos [12,13] and hence useful to analyze BEGOE(1+2)-S1 ensemble.…”

Section: Introductionmentioning

confidence: 99%

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Random matrix ensemble with random two-body interactions in the presence of a mean field for spin-one boson systems

et al. 2013

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For m number of bosons, carrying spin (S=1) degree of freedom, in Ω number of single particle orbitals, each triply degenerate, we introduce and analyze embedded Gaussian orthogonal ensemble of random matrices generated by random two-body interactions that are spin (S) scalar [BEGOE(2)-S1]. The embedding algebra is U (3) ⊃ G ⊃ G1 ⊗ SO(3) with SO(3) generating spin S. A method for constructing the ensembles in fixed-(m, S) space has been developed. Numerical calculations show that the form of the fixed-(m, S) density of states is close to Gaussian and level fluctuations follow GOE. Propagation formulas for the fixed-(m, S) space energy centroids and spectral variances are derived for a general one plus two-body Hamiltonian preserving spin. In addition to these, we also introduce two different pairing symmetry algebras in the space defined by BEGOE(2)-S1 and the structure of ground states is studied for each paring symmetry.

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“…Embedding algebra for BEGOE(1+2)-S1 is not unique and following the earlier results for the IBM-3 model of atomic nuclei [10,11], it is possible to identify two algebras. They…”

Section: Definition and Constructionsupporting

confidence: 57%

“…(9)- (11). Given the U(Ω) irrep {f 1 f 2 f 3 }, the corresponding SU(3) irrep in Elliott's notation [15] is given by (λµ) where λ = f 1 − f 2 and…”

Section: Definition and Constructionmentioning

confidence: 99%

“…In the BEGOE(1+2)-S1 space, it is possible to identify two different pairing algebras (each defining a particular type of pairing) and they follow from the results in [11,14,24].…”

Section: Pairing Algebras and Ground State Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Random matrix ensemble with random two-body interactions in the presence of a mean field for spin-one boson systems

et al. 2013

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“…Details can be found in many previous publications [19,25,29,31,36,37] . As in IBM-1, IBM-3 model includes s and d bosons with no intrinsic spin but isospin permitted to carry.…”

Section: The Interacting Boson Model With Isospin (Ibm-3)mentioning

confidence: 98%

Mixed symmetry states and isospin excitation in N = Z nucleus 52Fe

Zhang

Lü

Bai

et al. 2008

Sci. China Ser. G-Phys. Mech. Astron.

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The interacting boson model with isospin (IBM-3) was applied to study the band structure and electromagnetic transition properties of the low-lying states in the even-even N = Z nucleus 52 Fe. The isospin excitation states with T = 0, 1 and 2 were identified, and compared with the available data. The study shows that the 2 + 3 state is the lowest mixed symmetry state in 52 Fe. The excitation energy of the second 0 + 2 state with T = 0 in nucleus 52 Fe was identified. The model calculations with the data show a reasonably good agreement. energy level, isospin, mixed symmetry states, electromagnetic transitionsWith the development of radioactive ion beam facilities and large detector arrays, the study of the structure of heavy nuclei (A≥40) with N = Z has been a subject of intense interest during the last few years. The main reason is that (i) the structure of these nuclei provides a sensitive test for the isospin symmetry of nuclear force; (ii) these nuclei may give new insights into neutron-proton (np pair) correlations that are unknown up to present; (iii) these nuclei are important for rp-process nucleosynthesis. Much experimental and theoretical work -, e.g. refs. [1 28], has been carried out recently for the investigation and understanding of the structure of the atomic nuclei with N = Z, the initial focus being on heavy odd-odd N = Z nuclei [1][2][3][4][5][6][7] . However, many experimental studies have been started recently for heavy even-even N = Z nuclei [9,11,13,24] (A≥40 up to A = 88). The neutron-proton correlations in the T = 0 channel are an interesting aspect of the N = Z nuclei, where T = 0 pairing may lead to a new collective mode [29,30] . Nuclei with N = Z are expected to exhibit interesting deformation characteristics, such as the reduction of the moment of inertia and the backbending phenomenon, etc.In many nuclear models, the studies of even-even nuclei are much easier than those of odd-odd nuclei. The interacting boson model (IBM) of nuclei, introduced by Arima and Iachello [31] , is phenomenologically successful in describing the spectra of medium heavy nuclei and heavy nu-

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Spectra and E2 Transition Strengths forN=ZEven–Even Nuclei in IBM-3 Dynamical Symmetry Limits with GoodsanddBoson Isospins

Cited by 23 publications

References 32 publications

Random matrix ensemble with random two-body interactions in the presence of a mean field for spin-one boson systems

Random matrix ensemble with random two-body interactions in the presence of a mean field for spin-one boson systems

Mixed symmetry states and isospin excitation in N = Z nucleus 52Fe

O(36) Symmetry Limit of IBM-4 with Good s, d, and sd Boson Spin–Isospin Wigner's SU(4)∼O(6) Symmetries for N≈Z Odd–Odd Nuclei

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