Microscopical structure of the states of deformed nuclei in the neighborhood of the yrast line

Janssen, D.; Mikhailov, I.N.

doi:10.1016/0375-9474(79)90656-0

Cited by 57 publications

(66 citation statements)

References 8 publications

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“…Such excitations (called wobbling excitations) were suggested, first, by Bohr and Mottelson [168] in rotating even-even nuclei, and analyzed within simplified microscopic models [584][585][586]. According to the microscopic approach [587,588], the wobbling excitations are the vibrational states of the negative signature built on the positive signature yrast (vacuum) state. Their characteristic feature are collective E2 transitions with ∆I = ±1 between these and yrast states.…”

Section: Collective Excitations As Indicator Of Symmetry Breakingmentioning

confidence: 99%

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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Section: Collective Excitations As Indicator Of Symmetry Breakingmentioning

confidence: 99%

Effects of symmetry breaking in finite quantum systems

2013

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“…Theoretically, appearance of the wobbling motion, which is well-known in classical mechanics of asymmetric tops [7] and whose quantum analog was discussed in terms of a rotor model about thirty years ago [8], is a decisive evidence of static triaxial deformations. Subsequently its microscopic descriptions were developed by several authors [9,10]. Since the small-amplitude wobbling mode carries the same quantum numbers, parity π = + and signature α = 1, as the odd-spin members of the γ band, Ref.…”

Section: Introductionmentioning

confidence: 99%

Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Matsuzaki¹,

Shimizu²,

Matsuyanagi³

2004

Phys. Rev. C

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The wobbling motion excited on triaxial superdeformed nuclei is studied in terms of the cranked shell model plus random phase approximation. Firstly, by calculating at a low rotational frequency the γ-dependence of the three moments of inertia associated with the wobbling motion, the mechanism of the appearance of the wobbling motion in positive-γ nuclei is clarified theoretically -the rotational alignment of the πi 13/2 quasiparticle(s) is the essential condition. This indicates that the wobbling motion is a collective motion that is sensitive to the single-particle alignment. Secondly, we prove that the observed unexpected rotational-frequency dependence of the wobbling frequency is an outcome of the rotational-frequency dependent dynamical moments of inertia.

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“…Then it was studied microscopically by Janssen and Mikhailov [2] and Marshalek [3] in terms of the random phase approximation (RPA). Since the small amplitude wobbling mode has the same quantum number, parity π = + and signature α = 1, as the odd-spin member of the γ vibrational band, Mikhailov and Janssen [4] anticipated that it would appear as a high-spin continuation of the odd-spin γ band.…”

Section: Introductionmentioning

confidence: 99%

Instability of nuclear wobbling motion and tilted axis rotation

Matsuzaki¹,

Ohtsubo

2004

Phys. Rev. C

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We study a possible correspondence between the softening of the wobbling mode and the "phase transition" of the one-dimensionally rotating mean field to a three-dimensionally rotating one by comparing the properties of the wobbling mode obtained by the one-dimensional cranking model + random phase approximation with the total routhian surface obtained by the three-dimensional tilted-axis cranking model. The potential surface for the observed wobbling mode excited on the triaxial superdeformed states in 163 Lu is also analyzed.

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Microscopical structure of the states of deformed nuclei in the neighborhood of the yrast line

Cited by 57 publications

References 8 publications

Effects of symmetry breaking in finite quantum systems

Effects of symmetry breaking in finite quantum systems

Publisher’s Note: Nuclear moments of inertia and wobbling motions in triaxial superdeformed nuclei [Phys. Rev. C69, 034325 (2004)]

Instability of nuclear wobbling motion and tilted axis rotation

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