Octupole deformations in actinides at high spins within the cranking Skyrme$ndash$Hartree$ndash$Fock approach

Цветков, А. И.; Kvasil, J.; Nazmitdinov, R. G.

doi:10.1088/0954-3899/28/8/305

Cited by 25 publications

(24 citation statements)

References 36 publications

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“…6, we compare the measured values of |D 0 | with the recent Skyrme Hartree-Fock calculations of Tsvetkov et al [20]. These calculations are in substantial agreement with earlier theoretical works [21,25] for Ra and Th isotopes.…”

Section: >012supporting

confidence: 87%

“…Thus, the region traditionally associated with octupole deformation, N < 138, is characterized by large dipole moments and negligible splitting between the bands, while the vibrational region, N > 140, is characterized by large splittings and small dipole moments. [20] for Ra, Th, and U isotopes. Experimental |D 0 | (black circles) from the compilations of Refs.…”

Section: >012mentioning

confidence: 99%

“…However, another prediction is the possible existence of tetrahedral shapes in the actinide region [6]. Such deformations are characterized by a triaxial octupole deformation Y 32 , together with a near-zero quadrupole deformation Y 20 . As a result, negative-parity bands with missing in-band E2 transitions are candidates for the rotation of a tetrahedral shape.…”

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confidence: 99%

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Electric dipole moments inU230,232and implications for tetrahedral shapes

Ntshangase¹,

Bark²,

Aschman³

et al. 2010

Phys. Rev. C

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The nuclei 230 U and 232 U were populated in the compound nucleus reactions 232 Th(α,6n) and 232 Th(α,4n), respectively. Gamma rays from these nuclei were observed in coincidence with a recoil detector. A comprehensive set of in-band E2 transitions were observed in the lowest lying negative-parity band of 232 U while one E2 transition was also observed for 230 U. These allowed B(E1; I − → I + − 1)/B(E2; I − → I − − 2) ratios to be extracted and compared with systematics. The values are similar to those of their Th and Ra isotones. The possibility of a tetrahedral shape for the negative-parity U bands appears difficult to reconcile with the measured Q 2 values for the isotone 226 Ra.

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Section: >012supporting

confidence: 87%

Section: >012mentioning

confidence: 99%

mentioning

confidence: 99%

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Electric dipole moments inU230,232and implications for tetrahedral shapes

Ntshangase¹,

Bark²,

Aschman³

et al. 2010

Phys. Rev. C

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“…The cranking HFB calculations with Skyrme [561] and Gogny [562] forces predict a non-axial Y 31 octupole deformation in light nuclei at high spins. The results based on the Skyrme interaction demonstrate the importance of a nonaxial Y 32 octupole deformation in actinide nuclei at fast rotation [563]. The onset of a non-axial octupole deformation was found in 162 Yb [564].…”

Section: Shape Transitions In Rotating Nucleimentioning

confidence: 78%

Effects of symmetry breaking in finite quantum systems

2013

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The review considers the peculiarities of symmetry breaking and symmetry transformations and the related physical effects in finite quantum systems. Some types of symmetry in finite systems can be broken only asymptotically. However, with a sufficiently large number of particles, crossover transitions become sharp, so that symmetry breaking happens similarly to that in macroscopic systems. This concerns, in particular, global gauge symmetry breaking, related to Bose-Einstein condensation and superconductivity, or isotropy breaking, related to the generation of quantum vortices, and the stratification in multicomponent mixtures. A special type of symmetry transformation, characteristic only for finite systems, is the change of shape symmetry. These phenomena are illustrated by the examples of several typical mesoscopic systems, such as trapped atoms, quantum dots, atomic nuclei, and metallic grains. The specific features of the review are: (i) the emphasis on the peculiarities of the symmetry breaking in finite mesoscopic systems; (ii) the analysis of common properties of physically different finite quantum systems; (iii) the manifestations of symmetry breaking in the spectra of collective excitations in finite quantum systems. The analysis of these features allows for the better understanding of the intimate relation between the type of symmetry and other physical properties of quantum systems. This also makes it possible to predict new effects by employing the analogies between finite quantum systems of different physical nature.

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“…The electric dipole moment would vanish for the collective motion of a fluid with uniform charge density, as the center of charge would coincide with the center of mass. Therefore,the observed E1 transition ampli- tudes are entirely due to the non uniformity of the nuclear charge distribution [45]. To calculate the value of B(E1)= (i||M(E1)||f ) 2 /(2J i + 1), the E1 transition operator has been assumed to have the form [46,47,48,49] …”

Section: Other Possible Tests Of the Critical-point Behaviormentioning

confidence: 99%

Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode

Bizzeti

Bizzeti‐Sona

2004

Phys. Rev. C

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The dynamics of nuclear collective motion is investigated in the case of reflection-asymmetric shapes. The model is based on a new parameterization of the octupole and quadrupole degrees of freedom, valid for nuclei close to the axial symmetry. Amplitudes of oscillation in other degrees of freedom different from the axial ones are assumed to be small, but not frozen to zero. The case of nuclei which already possess a permanent quadrupole deformation is discussed in some more detail and a simple solution is obtained at the critical point of the phase transition between harmonic octupole oscillation and a permanent asymmetric shape. The results are compared with experimental data of the Thorium isotopic chain. The isotope 226 Th is found to be close to the critical point.PACS numbers: 21.60.ev

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Octupole deformations in actinides at high spins within the cranking Skyrme$ndash$Hartree$ndash$Fock approach

Cited by 25 publications

References 36 publications

Electric dipole moments inU230,232and implications for tetrahedral shapes

Electric dipole moments inU230,232and implications for tetrahedral shapes

Effects of symmetry breaking in finite quantum systems

Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode

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