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Odd-odd nucleus 198 Au as first test of IBFFM (OTQM)

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TLDR
In this article, the IBFFM model was extended to odd-odd nuclei, referred to as OTQM, and a few dynamical symmetries and supersymmetries have been introduced.
Abstract
The levels of198Au have been calculated in IBFFM as a first application of the new model for odd-odd nuclei. The study of the Au (n, γ) spectrum has led to a large amount of data on the odd-odd nucleus198Au, with spin/parity assignments of numerous low-lying states /l/. In particular, fifteen 1−, 2− levels have been found below 500 keV. However, at that time a detailed comparison with nuclear structure theory was not possible. In last decade, the interacting boson model was extensively applied to description of even-even and odd-even nuclei /2,3/. Only recently, this approach was extended to odd-odd nuclei /4–8/. A new model /4,5/ for odd-odd nuclei was introduced, referred to as IBFFM or OTQM. In related development, a few dynamical symmetries and supersymmetries have been introduced, which encompass odd-odd nuclei. These supersymmetries are associated with Uν (6/4)×Uπ (6/4) /6/, Uν(6/12)×Uπ (6/4) /7/ and with a symplectic chain /8/.

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Citations
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Journal ArticleDOI

IBFFM yrast states in odd-odd nuclei associated withO(6) andSU(3) limits

TL;DR: In this article, the interacting Boson-Fermion-fermion model (IBFFM) for odd-odd nuclei was applied to the case of asymmetric rotor models and the results were discussed in terms of strongly coupled/decoupled band type criterion.
Journal ArticleDOI

Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy-density functional

TL;DR: In this paper, the authors present a method to calculate spectroscopic properties of odd-odd nuclei within the framework of the interacting boson-fermion-fermer model (IBFFM).
Journal ArticleDOI

Structure of theN=59 nucleus97Sr: coexistence of spherical and deformed states

TL;DR: In this paper, a rotational pattern based on a state at 585.1 keV has been identified in the N=59 neutron-rich nucleus97Sr. Its properties lead to the [422] 3/2 Nilsson-orbital assignment for the band head.
Journal ArticleDOI

Proton-neutron multiplets in 96 Y

TL;DR: In this paper, the structure of the nucleus of the Proton-Neutron (PN) is discussed in the framework of the parabolic rule for the splitting of members of proton-neutron coupled configurations and of the interacting boson-fermion-femion model (IBFFM), and a good description of the available experimental data including the existence of the β− decaying 8+ isomer with a half-life of 10 s has been obtained which demonstrates the influence of the subshell closures in the neighbourhood of
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Analogs of Gallagher-Moszkowski Bands in IBFFM- A Relation to Spectrum-Generating Supersymmetry?

TL;DR: The quantal analogs of the Gallagher-Moszkowski bands in the IBFFM with the SU (3) boson core are associated with the exact quantum numberKjp+jn and approximate quantum number K-¦jp-jn¦ of IB FFM.
References
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Journal ArticleDOI

Collective nuclear states as representations of a su(6) group

TL;DR: In this paper, a description of collective quadrupole states in even-even nuclei in terms of representations of a boson SU(6) group was proposed and the vibrational and rotational limit was recovered.
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Interacting Boson-Fermion Model of Collective States in Odd- A Nuclei

TL;DR: In this article, it is suggested that odd-A$A$ nuclei be treated as a system of interacting bosons and fermions and that a simple choice for the form of the boson-fermion interaction is sufficient to describe the variety of observed spectra.
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A parabolic rule for the energy dependence on x = I( I + 1) for proton-neutron multiplets in odd-odd nuclei

TL;DR: In this paper, an analytic expression for the energies of the states of the proton-neutron multiplet (jpjn)I = |jp-jn&,…,jp + jn is derived as a quadratic function x = I(I + 1) owing to the exchange of the quadrupole and the spin-vibrational phonon.
Journal ArticleDOI

Extension of supersymmetry in nuclear structure.

TL;DR: Supersymmetry, recently proposed in the context of the interacting-boson model, is extended to include simultaneously odd-even, even-odd, and odd-odd partners of a given even-even nucleus as mentioned in this paper.
Journal ArticleDOI

The interacting Boson Model applied to the mercury isotopes

TL;DR: In this article, the even isotopes of mercury have been systematically studied using the Interacting Boson Model (IBM) in order to treat shape coexistence in the light isotopes, two separate IBM calculations were performed with different configurations, which were subsequently mixed.
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