Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

Zhao, Jie; Lü, Bin; Zhao, En-Guang; Zhou, Shan‐Gui

doi:10.1103/physrevc.95.014320

Cited by 56 publications

(49 citation statements)

References 164 publications

(270 reference statements)

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“…We have developed multidimensionally-constrained (MDC) covariant density functional theories (CDFTs) to calculate and study PESs for SHN and heavy nuclei [37,[39][40][41]. In these theories, the shape degrees of freedom β λµ with µ being even numbers are self-consistently included, such as β 20 , β 22 , β 30 , β 32 , β 40 , β 42 and β 44 .…”

Section: Introductionmentioning

confidence: 99%

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Lü

Zhou

2019

Sci. China Phys. Mech. Astron.

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We study the ground state properties, potential energy curves and potential energy surfaces of the superheavy nucleus 270 Hs by using the multidimensionally-constrained relativistic mean-field model with the effective interaction PC-PK1. The binding energy, size and shape as well as single particle shell structure corresponding to the ground state of this nucleus are obtained. 270 Hs is well deformed and exhibits deformed doubly magic feature in the single neutron and proton level schemes. One-dimensional potential energy curves and two-dimensional potential energy surfaces are calculated for 270 Hs with various spatial symmetries imposed. We investigate in detail the effects of the reflection asymmetric and triaxial distortions on the fission barrier and fission path of 270 Hs. When the axial symmetry is imposed, the reflection symmetric and reflection asymmetric fission barriers both show a double-hump structure and the former is higher. However, when triaxial shapes are allowed the reflection symmetric barrier is lowered very much and then the reflection symmetric fission path becomes favorable. MDC-RMF model, superheavy nuclei, potential energy surface, fission barrier, reflection asymmetry, triaxial deformation PACS number(s): 21.10.-k, 21.60.Jz, 27.90.+b, 23.70.+j Citation: Meng X, Lu B N and Zhou S G, Ground state properties and potential energy surfaces of 270 Hs from multidimensionally-constrained relativistic mean field model, Sci.

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Section: Introductionmentioning

confidence: 99%

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Lü

Zhou

2019

Sci. China Phys. Mech. Astron.

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“…[21,22] employing multidimensional constrained CDFT. Although the energy gain due to β 32 distortion exceeds 300 keV in 248 Cf and 250 Fm in model calculations, it is not likely that static deformation of this type is present in nature in these two nuclei.…”

Section: Introductionmentioning

confidence: 99%

Octupole deformation in the ground states of even-even Z∼96, N∼196 actinides and superheavy nuclei

Agbemava

Afanasjev

2017

Phys. Rev. C

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A systematic search for axial octupole deformation in the actinides and superheavy nuclei with proton numbers Z = 88 − 126 and neutron numbers from two-proton drip line up to N = 210 has been performed in covariant density functional theory (DFT) using four state-of-the-art covariant energy density functionals representing different model classes. The nuclei in the Z ∼ 96, N ∼ 196 region of octupole deformation have been investigated in detail and the systematic uncertainties in the description of their observables have been quantified. Similar region of octupole deformation exists also in Skyrme DFT and microscopic+macroscopic approach but it is centered at somewhat different particle numbers. Theoretical uncertainties in the predictions of the regions of octupole deformation are increasing on going to superheavy nuclei with Z ∼ 120, N ∼ 190. There are no octupole deformed nuclei for Z = 112 − 126 in covariant DFT calculations. This agrees with Skyrme DFT calculations, but disagrees with Gogny DFT and microscopic+macroscopic calculations which predict extended Z ∼ 120, N ∼ 190 region of octupole deformation.

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“…Since the 1990s, such concept has been extended also to the heavier systems, e.g. [12,13] and then intensively studied, both within microscopic-macroscopic (MM) [14][15][16][17]24] and selfconsistent models [14,15,[18][19][20][21][22][23]. Generally, these studies are inconclusive since: a) the existence of global tetrahedral minima was rare and model-dependent b) contradictory results were obtained within the same models.…”

Section: Introductionmentioning

confidence: 99%

Effect of non-axial octupole shapes in heavy and superheavy nuclei

2017

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We search for effects of tetrahedral deformation β32 over a range of ∼ 3000 heavy and superheavy nuclei, 82 ≤ Z ≤ 126, using a microscopic-macroscopic model based on the deformed Woods-Saxon potential, well tested in the region. We look for the energy minima with a non-zero tetrahedral distortion, both absolute and conditional -with the quadrupole distortion constrained to zero. In order to assure reliability of our results we include 10 most important deformation parameters in the energy minimization. We could not find any cases of stable tetrahedral shapes. The only sizable -up to 0.7 MeV -lowering of the ground state occurs in superheavy nuclei Z ≥ 120 for N = 173−188, as a result of a combined action of two octupole deformations: β32 and β30, in the ratio β32/β30 ≈ 3/5. The resulting shapes are moderately oblate, with the superimposed distortion β33 with respect to the oblate axis, which makes the equator of the oblate spheroid slightly triangular. Almost all found conditional minima are excited and not protected by any barrier; a handful of them are degenerate with the axial minima.

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Tetrahedral shapes of neutron-rich Zr isotopes from a multidimensionally constrained relativistic Hartree-Bogoliubov model

Cited by 56 publications

References 164 publications

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Ground state properties and potential energy surfaces of 270Hs from multidimensionally-constrained relativistic mean field model

Octupole deformation in the ground states of even-even Z∼96, N∼196 actinides and superheavy nuclei

Effect of non-axial octupole shapes in heavy and superheavy nuclei

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