Triaxial projected shell model study of $$\gamma $$-bands in atomic nuclei

Jehangir, S.; Bhat, G. H.; Sheikh, J. A.; Frauendorf, S.; Li, W.; Palit, R.; Rather, N.

doi:10.1140/epja/s10050-021-00620-7

Cited by 15 publications

(7 citation statements)

References 58 publications

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“…A promising new avenue is the triaxial projected shell model (TPSM) [33]. The TSPM has been demonstrated [34] to be capable of describing the energies and quadrupole matrix elements of both γ-rigid and γsoft even-even nuclei, by diagonalizing a pairing plus quadrupole-quadrupole Hamiltonian, in a basis of states comprised of multiquasiparticle excitations in a fixed triaxial mean field, projected onto good angular momentum. The TPSM also correctly describes transverse wobbling in 135 Pr [35].…”

Section: Discussionmentioning

confidence: 99%

Triaxiality explored by an odd quasi-particle

Li¹,

Caprio²,

Frauendorf³

2022

Preprint

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The triaxiality of odd-mass nuclei is investigated by coupling a quasiparticle to an even-even core through the core-quasiparticle coupling model. Both soft and rigid triaxial cores are considered. The "soft core" is described by the collective model with rotation-vibrational motion, while the "rigid core" is described by the triaxial rotor model, which is a limiting case of the collective model with only rotational motion. We show that the presence of the odd quasiparticle modifies the collective quadrupole dynamics of the core to appear more "rigid".

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Section: Discussionmentioning

confidence: 99%

Triaxiality explored by an odd quasi-particle

Li¹,

Caprio²,

Frauendorf³

2022

Preprint

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“…The wave-function is then used to evaluate the electromagnetic transition probabilities. The reduced electric transition probabilities B(EL) from an initial state (σ i , I i ) to a final state (σ f , I f ) are given by [57]…”

Section: Extended Triaxial Projected Shell Model Approachmentioning

confidence: 99%

“…In recent years, the triaxial projected shell model (TPSM) approach has been demonstrated to provide a unified description of the high-spin band structures of rotational and transitional nuclei with a remarkable accuracy [55][56][57]. The advantage of this model is that basis space is composed of angularmomentum projected multi-quasiparticle states which allows to investigate the band structures up to quite high spin.…”

Section: Introductionmentioning

confidence: 99%

“…This extension makes it feasible to investigate the odd-neutron systems up to quite high angular momentum and as a first major application of this development, the high-spin band structures for odd-neutron 117−131 Xe have been investigated in the present work. The present work is an ongoing effort of our group to extend the TPSM approach and in our recent publications, we have expanded the basis space of even-even [65], odd-odd [66] and odd-proton [67] systems. We would like to mention that in a parallel effort, the axial version of the TPSM approach has also been generalized to multi-quasiparticle states [68][69][70].…”

Section: Introductionmentioning

confidence: 99%

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Extended triaxial projected shell model approach for odd-neutron nuclei

Jehangir,

Nazir,

Bhat

et al. 2022

Preprint

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In an effort to elucidate the rich band structures observed in odd-neutron systems, triaxial projected shell model approach is extended to include three-quasineutron and five-quasiparticle configurations. This extension makes it possible to investigate the high-spin states up to and including the second band crossing. Detailed investigation has been performed for odd-mass Xe isotopes with the extended basis, and it is shown that character of the band crossing along the yrast line changes with shell filling of the 1h 11/2 orbital. Further, it is observed that the three-quasiparticle state that crosses the ground-state configuration, leading to the normal band crossing phenomenon along the yrast line, first crosses the γ band based on the ground-state configuration at an earlier spin value. This crossing feature explains the occurrence of the signature inversion observed in the γ bands for some of the studied isotopes.

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“…Therefore, the Wigner D-function is indispensable in the study of modern physics, for example in nuclear physics [5], quantum metrology [6,7] and many other fields [8,9]. Especially in theoretical calculations with the nuclear beyond-mean-field methods [10][11][12][13][14][15][16], where angular-momentum projection serves as an important ingredient, the Wigner D-function is the cerntral part of the angular-momentum projector [10,[17][18][19][20][21][22][23][24][25][26][27]. Angular-momentum projected wave functions obtained in modern nuclear theories are applied to the study of β-decay [28,29], neutrinoless double-β decay [30][31][32], astrophysical weak process [33][34][35], nuclear fission [36][37][38][39][40], and many others.…”

Section: Introductionmentioning

confidence: 99%

An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta

Gao¹,

Wang²,

Sun³

2022

Preprint

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The Wigner rotation matrix (d-function), which appears as a part of the angular-momentumprojection operator, plays a crucial role in modern nuclear-structure models. However, it is a longstanding problem that its numerical evaluation suffers from serious errors and instability, which hinders precise calculations for nuclear high-spin states. Recently, Tajima [Phys. Rev. C 91, 014320 (2015)] has made a significant step toward solving the problem by suggesting the high-precision Fourier method, which however relies on formula-manipulation softwares. In this paper we propose an effective and efficient algorithm for the Wigner d function based on the Jacobi polynomials. We compare our method with the conventional Wigner method and the Tajima Fourier method through some testing calculations, and demonstrate that our algorithm can always give stable results with similar high-precision as the Fourier method, and in some cases (for special sets of j, m, k and θ) ours are even more accurate. Moreover, our method is self-contained and less memory consuming. A related testing code and subroutines are provided as Supplemental Material in the present paper.

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Triaxial projected shell model study of $$\gamma $$-bands in atomic nuclei

Cited by 15 publications

References 58 publications

Triaxiality explored by an odd quasi-particle

Triaxiality explored by an odd quasi-particle

Extended triaxial projected shell model approach for odd-neutron nuclei

An effective and efficient algorithm for the Wigner rotation matrix at high angular momenta

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