Microscopic nuclear structure models and methods: chiral symmetry, wobbling motion and<i>γ</i>–bands

Sheikh, Javaid A.; Bhat, G. H.; Dar, W. A.; Jehangir, S.; Ganai, Prince A.

doi:10.1088/0031-8949/91/6/063015

Cited by 40 publications

(33 citation statements)

References 125 publications

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“…Theoretical tools beyond the mean field and the small-amplitude approximations, which combine the Generator Coordinate Method with configuration mixing (see e.g. the contributions to this Focus Issue by Egido [41], Sun [56], Walker and Xu [57], Sheikh et al [58] and the review by Bender et al [38]), remove these restrictions at the price of increasing the complexity of the description and drastically the computational effort. This type of calculations may describe the experimental data and allow for reliable predictions.…”

Section: Discussionmentioning

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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Section: Discussionmentioning

confidence: 99%

Beyond the Unified Model

Frauendorf

2018

Phys. Scr.

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“…Eq. (13). The result of configuration-mixing looks naturally like the envelope curve of a family of four spectral curves corresponding to those obtained with different frequencies, and consequently the curvature reduces from those of a family of curves.…”

Section: B Superdeformed Band In 152 Dymentioning

confidence: 98%

“…This and other irregularities in the calculations seen in the present work are due to the fact that a small norm state in the Hill-Wheeler equation unfortunately comes in and/or goes out in the calculated spin range even though a relatively small value of norm cut-off parameter has been employed, in this case 10 −9 ; usually its effect is small but it can be visible especially for the J (2) moment of inertia that is the quantity of second derivative, see Eq. (13). We show four J (2) moments of inertia calculated from spectra projected from a single mean-field state at each rotational frequency in Fig.…”

Section: B Superdeformed Band In 152 Dymentioning

confidence: 99%

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Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in Dy152 and Hg194

2019

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Recently we have investigated an effective method of multicranked configuration-mixing for angular-momentum-projection calculation, where several cranked mean-field states are coupled after projection: The basic idea was originally proposed by Peierls and Thouless more than fifty years ago. With this method a good description of the rotational band has been achieved in a fully microscopic manner. In the present work, we apply the method to the high-spin superdeformed band, for which long rotational sequence is observed, and study how the good description is obtained for the rotational spectrum as well as the J (1) and J (2) moments of inertia as functions of angular momentum. The Gogny D1S force is employed as an effective interaction, and the yrast superdeformed bands in 152 Dy and 194 Hg are taken as typical examples in the A ≈ 150 and A ≈ 190 regions, respectively. The effect of pairing correlations is examined by the variation after particle-number projection approach to understand the different behaviors of J (2) moments of inertia observed in these two nuclei. The particle-number projection on top of the angular-momentum projection has been performed for the first time with the multicranked configuration-mixing.

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“…It has been shown using the TPSM approach that each quasiparticle state has a γ-band built on it [35] and the second excited s-band, as a matter of fact, is a γ-band built on the two-quasiparticle state. As the intrinsic structures of the two-quasiparticle band and the γ-band built on it is same, the predicted g-factors for two bands should be similar.…”

Section: Introductionmentioning

confidence: 99%

Systematic study of near yrast band structures in odd-mass $^{125-137}$Pr and $^{127-139}$Pm isotopes

Jehangir,

Bhat,

Rather

et al. 2021

Preprint

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In the present work, the basis space in the triaxial projected shell model approach is expanded to include three and five quasiparticle configurations for odd-proton systems. This extension allows to investigate the high-spin band structures observed in odd-proton systems up to and including the second band crossing region, and as a first major application of this development, the high-spin properties are investigated for odd-mass 125−137 Pr and 127−139 Pm isotopes. It is shown that band crossings in the studied isotopes have mixed structures with first crossing dominated by one-proton coupled to two-neutron configuration for the lighter isotopes which then changes to three-proton configuration with increasing neutron number. Further, γ-bands based on quasiparticle states are also delineated in the present work, and it is predicted that these band structures built on threequasiparticle configurations become favoured in energy for heavier systems in the high-spin region.

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

Cited by 40 publications

References 125 publications

Beyond the Unified Model

Beyond the Unified Model

Importance of multicranked configuration mixing for angular-momentum-projection calculations: Study of superdeformed rotational bands in Dy152 and Hg194

Systematic study of near yrast band structures in odd-mass $^{125-137}$Pr and $^{127-139}$Pm isotopes

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