Octupole vibrations in nuclei

Rohoziński, S. G.

doi:10.1088/0034-4885/51/4/002

Cited by 88 publications

(49 citation statements)

References 233 publications

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“…An alternative approach assuming α-cluster configurations has been discussed by Shneidman et al [25]. In the frame of the geometrical approach, a number of theoretical investigations of the octupole vibrations around a stable quadrupole deformation have been reported in the last 50 years [26,27,28,29,30,31,32]. Most of them, however, are limited to the case of axial symmetry.…”

Section: A Previous Investigations Of the Octupole Plus Quadrupole Dmentioning

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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Section: A Previous Investigations Of the Octupole Plus Quadrupole Dmentioning

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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“…Below N ∼ 140, the presence of alternating parity bands with sizable electric dipole moments D 0 , has been taken as evidence of rotation-induced octupole deformation; whereas above N = 140, the D 0 values are reduced and the positive-and negative-parity branches develop a sizable energy splitting. In this regime, the negative-parity bands have been interpreted in terms of octupole vibrations [1][2][3]. In recent years, a unified understanding of the above phenomena in terms of octupole phonons and their condensates has been suggested [4,5].…”

mentioning

confidence: 99%

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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“…5 and in Fig. 4 to keep the diagonal term H F 1 (1) and the non-diagonal termsĤ F 1 (2) ,Ĥ F 2 (1) andĤ F 2 (2) . Our analysis (related to the collective rotations of the system) gives a natural way for determining the four collective octupole interaction terms which give independent contributions.…”

Section: Discussionmentioning

confidence: 99%

“…The properties of nuclear systems with octupole deformations [1] are of current interest due to increasing evidence for the presence of octupole instabilities in various regions of the nuclear table [2,3,4]. Furthermore, some "beat" patterns have been observed recently for the odd-even staggering (the relative displacement of the odd levels with respect to the positions at which they should have been located according to a fit of the even levels by the formula E(I) = AI(I + 1), where I denotes the angular momentum) in octupole bands of light actinides [5] based on recent experimental data [6,7], calling for a study of the interactions which could give rise to such shapes.…”

Section: Introductionmentioning

confidence: 99%

“Beat” patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian

et al. 2001

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We propose a collective Hamiltonian which incorporates the standard quadrupole terms, octupole terms classified according to the irreducible representations of the octahedron group, a quadrupole-octupole interaction, as well as a term for the bandhead energy linear in K (the projection of angular momentum on the body-fixed z-axis). The energy is subsequently minimized with respect to K for each given value of the angular momentum I, resulting in K values increasing with I within each band, even in the case in which K is restricted to a set of microscopically plausible values. We demonstrate that this Hamiltonian is able to reproduce a variety of "beat" patterns observed recently for the odd-even staggering in octupole bands of light actinides.

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Octupole vibrations in nuclei

Cited by 88 publications

References 233 publications

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

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

Electric dipole moments inU230,232and implications for tetrahedral shapes

“Beat” patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian

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