Description of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>158</mml:mn></mml:msup></mml:math>Er at ultrahigh spin in nuclear density functional theory

Afanasjev, A. V.; Shi, Yue; Nazarewicz, W.

doi:10.1103/physrevc.86.031304

Cited by 19 publications

(34 citation statements)

References 32 publications

(52 reference statements)

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“…Therefore, before computing the Routhians as functions of the tilting angle, we first performed extensive PAC calculations so as to determine deformations of various minima. Similar to the PAC calculations in 158 Er [24], we found that the configurations generally have three typical deformations, namely, (Q t , γ) ∼ (9 eb, 9…”

Section: Tests Of the Ko Conditions Insupporting

confidence: 82%

“…Recently, a multitude of high-spin bands in nuclei around 158 Er have been observed [14][15][16][17][18][19][20] and interpreted in terms of triaxial strongly deformed (TSD) structures predicted by the PA cranking (PAC) calculations [14,[21][22][23][24]. Specifically, in 158 Er, two minima (dubbed TSD1 and TSD2) with similar β 2 and |γ| deformations, but opposite signs of γ, are calculated to be separated by a pronounced barrier.…”

Section: Introductionmentioning

confidence: 99%

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Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculations

et al. 2013

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Background: For cranked mean-field calculations with arbitrarily oriented rotational frequency vector ω in the intrinsic frame, one has to employ constraints on average values of the quadrupole-moment tensor, so as to keep the nucleus in the principal-axis reference frame. Kerman and Onishi [Nucl. Phys. A 361, 179 (1981)] have shown that the Lagrange multipliers that correspond to the required constraints are proportional to ω × J, where J is the average angular momentum vector.Purpose: We study the validity and consequences of the Kerman-Onishi conditions in the context of selfconsistent tilted-axis-cranking (TAC) mean-field calculations.Methods: We perform self-consistent two-dimensional-cranking calculations (with and without pairing) utilizing the symmetry-unrestricted solver hfodd. At each tilting angle, we compare the calculated values of quadrupolemoment-tensor Lagrange multipliers and ω × J.Results: We show that in self-consistent calculations, the Kerman-Onishi conditions are obeyed with high precision. Small deviations seen in the calculations with pairing can be attributed to the truncation of the quasiparticle spectrum. We also provide results of systematic TAC calculations for triaxial strongly deformed bands in 160 Yb.Conclusions: For non-stationary TAC solutions, Kerman-Onishi conditions link the non-zero values of the angle between rotational-frequency and angular-momentum vectors to the constraints on off-diagonal components of the quadrupole-moment tensor. To stabilize the convergence of self-consistent iterations, such constraints have to be taken into account. Only then one can determine the Routhian surfaces as functions of the tilting angles.

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Section: Tests Of the Ko Conditions Insupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculations

et al. 2013

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“…It represents the realization of covariant density functional theory (CDFT) for rotating nuclei with no pairing correlations [43]. It has successfully been tested in a systematic way on the properties of different types of rotational bands in the regime of weak pairing such as normal-deformed [53], superdeformed [52,54], as well as smooth terminating bands [43] and the bands at the extremes of angular momentum [55].…”

Section: The Details Of the Theoretical Calculationsmentioning

confidence: 99%

“…It is globally tested for ground state observables in eveneven nuclei [67] and systematically tested for physical observables related to excited states in heavy nuclei [57,68,69]. The CRMF and CRHB calculations with the NL3* CEDF provide a very successful description of different types of rotational bands [55,57,66] both at low and high spins.…”

Section: The Details Of the Theoretical Calculationsmentioning

confidence: 99%

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

Ray¹,

Afanasjev²

2016

Phys. Rev. C

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From superdeformation to extreme deformation and clusterization in the N ∼ Z nuclei of the A ∼ 40 mass region. A systematic search for extremely deformed structures in the N ∼ Z nuclei of the A ∼ 40 mass region has been performed for the first time in the framework of covariant density functional theory. At spin zero such structures are located at high excitation energies which prevents their experimental observation. The rotation acts as a tool to bring these exotic shapes to the yrast line or its vicinity so that their observation could become possible with future generation of γ−tracking (or similar) detectors such as GRETA and AGATA. The major physical observables of such structures (such as transition quadrupole moments as well as kinematic and dynamic moments of inertia), the underlying single-particle structure and the spins at which they become yrast or near yrast are defined. The search for the fingerprints of clusterization and molecular structures is performed and the configurations with such features are discussed. The best candidates for observation of extremely deformed structures are identified. For several nuclei in this study (such as 36 Ar), the addition of several spin units above currently measured maximum spin of 16 will inevitably trigger the transition to hyper-and megadeformed nuclear shapes.

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“…The successes of the CDFT in the description of rotating nuclei both in paired and unpaired regimes and at different extremes (superdeformation [see Ref. [10] and references therein], ultrahigh spins [29] and the limits of angular momentum in nuclear configurations [10,30]) are well documented.…”

Section: Introductionmentioning

confidence: 99%

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

2013

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The cranked relativistic Hartree-Bogoliubov (CRHB) theory has been applied for a systematic study of pairing and rotational properties of actinides and light superheavy nuclei. Pairing correlations are taken into account by the Brink-Booker part of finite range Gogny D1S force. For the first time in the covariant density functional theory (CDFT) framework the pairing properties are studied via the quantities (such as three-point ∆ (3) indicators) related to odd-even mass staggerings. The investigation of the moments of inertia at low spin and the ∆ (3) indicators shows the need for an attenuation of the strength of the Brink-Booker part of the Gogny D1S force in pairing channel. The investigation of rotational properties of even-even and odd-mass nuclei at normal deformation, performed in the density functional theory framework in such a systematic way for the first time, reveals that in the majority of the cases the experimental data are well described. These include the evolution of the moments of inertia with spin, band crossings in the A ≥ 242 nuclei, the impact of the particle in specific orbital on the moments of inertia in odd-mass nuclei. The analysis of the discrepancies between theory and experiment in the band crossing region of A ≤ 240 nuclei suggests the stabilization of octupole deformation at high spin, not included in the present calculations. The evolution of pairing with deformation, which is important for the fission barriers, has been investigated via the analysis of the moments of inertia in the superdeformed minimum. The dependence of the results on the CDFT parametrization has been studied by comparing the results of the calculations obtained with the NL1 and NL3* parametrizations.

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Description of158Er at ultrahigh spin in nuclear density functional theory

Cited by 19 publications

References 32 publications

Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculations

Kerman-Onishi conditions in self-consistent tilted-axis-cranking mean-field calculations

From superdeformation to extreme deformation and clusterization in theN≈Znuclei of theA≈40mass region

Pairing and rotational properties of actinides and superheavy nuclei in covariant density functional theory

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