Microscopic study of doublet bands in odd–odd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>A</mml:mi><mml:mo>∼</mml:mo><mml:mn>100</mml:mn></mml:math>nuclei

Dar, W. A.; Sheikh, J. A.; Bhat, G. H.; Palit, R.; Ali, Rahbar; Frauendorf, S.

doi:10.1016/j.nuclphysa.2014.10.045

Cited by 11 publications

(7 citation statements)

References 28 publications

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“…The quadrupole pairing strength G Q is assumed to be proportional to G M and the proportionality constant being fixed as 0.16. These parameters are similar to those used in the earlier studies [29,30].…”

Section: Triaxial Projected Shell Model Approachsupporting

confidence: 58%

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High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

Jehangir,

Maqbool,

Bhat

et al. 2020

Preprint

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The basis space in the triaxial projected shell model (TPSM) approach is generalized for odd-odd nuclei to include two-neutron and two-proton configurations on the basic one-neutron coupled to one-proton quasiparticle state. The generalization allows to investigate odd-odd nuclei beyond the band crossing region and as a first application of this development, high-spin band structures recently observed in odd-odd 194−200 Tl isotopes are investigated. In some of these isotopes, the doublet band structures observed after the band crossing have been conjuctured to arise from the spontaneous breaking of the chiral symmetry. The driving configuration of the chiral symmetry in these odd-odd isotopes is one-proton and three-neutrons rather than the basic one-proton and one-neutron as already observed in many other nuclei. It is demonstrated using the TPSM approach that energy differences of the doublet bands in 194 Tl and 198 Tl are, indeed, small. However, the differences in the calculated transition probabilities are somewhat larger than what is expected in the chiral symmetry limit. Experimental data on the transition probabilities is needed to shed light on the chiral nature of the doublet bands.

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Section: Triaxial Projected Shell Model Approachsupporting

confidence: 58%

“…The advantage of the TPSM approach is that computational needs are quite modest and it is possible to perform systematic studies in a reasonable time frame. As a matter of fact several systematic studies have been performed using the TPSM approach [29,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

Jehangir,

Maqbool,

Bhat

et al. 2020

Preprint

Self Cite

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“…In this class of models, the triaxial projected shell model (TPSM) approach has been demonstrated to correlate the high-spin data of well deformed and transitional data with remarkable success [13]. The purpose of the present work is to provide an overview of the recent applications of the TPSM approach to a wide range of nuclear properties [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. We also report new results on the observation of γ-bands based on excited configurations.…”

Section: Introductionmentioning

confidence: 92%

Microscopic nuclear structure models and methods: chiral symmetry, wobbling motion andγ–bands

et al. 2016

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A systematic investigation of the nuclear observables related to the triaxial degree of freedom is presented using the multiquasiparticle triaxial projected shell model (TPSM) approach.These properties correspond to the observation of γ-bands, chiral doublet bands and the wobbling mode. In the TPSM approach, γ-bands are built on each quasiparticle configuration and it is demonstrated that some observations in high-spin spectroscopy that have remained unresolved for quite some time could be explained by considering γ-bands based on two-quasiparticle configurations. It is shown in some Ce-, Nd-and Ge-isotopes that the two observed aligned or s-bands originate from the same intrinsic configuration with one of them as the γ-band based on a two-quasiparticle configuration. In the present work, we have also performed a detailed study of γ-bands observed up to the highest spin in Dysposium, Hafnium, Mercury and Uranium isotopes. Furthermore, several measurements related to chiral symmetry breaking and wobbling motion have been reported recently. These phenomena, which are possible only for triaxial nuclei, have been investigated using the TPSM approach. It is shown that doublet bands observed in lighter odd-odd Cs-isotopes can be considered as candidates for chiral symmetry breaking. Transverse wobbling motion recently observed in 135 Pr has also been investigated and it is shown that TPSM approach provides a reasonable description of the measured properties.

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“…The irrotational-flow ratios of the moments of inertia were assumed, which are J 2 /J 1 = J 2 /J 3 = 4/1. According to the frozen alignment estimate (127), the one-phonon band merges the zero-phonon band at…”

Section: R J H J Pmentioning

confidence: 99%

Beyond the Unified Model

Frauendorf

2018

Phys. Scr.

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The key elements of the Unified Model are reviewed. The microscopic derivation of the Bohr Hamiltonian by means of adiabatic time-dependent mean field theory is presented. By checking against experimental data the limitations of the Unified Model are delineated. The description of the strong coupling between the rotational and intrinsic degrees of freedom in framework of the rotating mean field is presented from a conceptual point of view. The classification of rotational bands as configurations of rotating quasiparticles is introduced. The occurrence of uniform rotation about an axis that differs from the principle axes of the nuclear density distribution is discussed. The physics behind this tilted-axis rotation, unknown in molecular physics, is explained on a basic level. The new symmetries of the rotating mean field that arise from the various orientations of the angular momentum vector with respect to the triaxial nuclear density distribution and their manifestation by the level sequence of rotational bands are discussed. Resulting phenomena, as transverse wobbling, rotational chirality, magnetic rotation and band termination are discussed. Using the concept of spontaneous symmetry breaking the microscopic underpinning of the rotational degrees is refined. † BCS is the acronym of Bardeen, Cooper and Schrieffer, who invented it for describing superconductivity in metals [21]. † "yrast": Swedish "most dizzy". These are the states with the highest angular momentum for given energy, which are the lowest states for given angular momentum . Sometimes the state above the yrast state is referred to as " yrare": Swedish "more dizzy". † We adopt the definition of the D-functions and phase conventions used by Bohr and Mottelson [6] and Rowe [9]. † The sign of q 2 is taken according to the "Lund convention" which is opposite to the "Copenhagen convention" of the Bohr Hamiltonian of Ref.[6]. This unfortunate inconsistency persist in the literature and between section 2 and the following as well.

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Microscopic study of doublet bands in odd–oddA∼100nuclei

Cited by 11 publications

References 28 publications

High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

Microscopic nuclear structure models and methods: chiral symmetry, wobbling motion andγ–bands

Beyond the Unified Model

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