Tetrahedral symmetry in nuclei: Search for its fingerprints in the Actinide and Rare-Earth regions

Curien, D.; Dudek, J.; Mazurek, K.

doi:10.1088/1742-6596/205/1/012034

Cited by 9 publications

(13 citation statements)

References 16 publications

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“…In [10,11], we found that some heavy doubly-magic nuclei surprisingly lie along a straight line N = 1.37Z + 13.5 (see Fig.1), which is called shell stability line of heavy nuclei. Furthermore, some predicted tetrahedral doubly-magic nuclei [23,24] [stars in Fig.1(a)] also lie near the line. The shell corrections of nuclei obtained with WS [10] are shown in Fig.1(b), and they are approximately symmetric along the shell stability line, i.e.…”

Section: The Nuclear Mass Model and Some Correctionsmentioning

confidence: 85%

Further improvements on a global nuclear mass model

et al. 2011

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The semi-empirical macroscopic-microscopic mass formula is further improved by considering some residual corrections. The rms deviation from 2149 known nuclear masses is significantly reduced to 336 keV, even lower than that achieved with the best of the Duflo-Zuker models. The alpha-decay energies of super-heavy nuclei, the Garvey-Kelson relations and the isobaric multiplet mass equation (IMME) can be reproduced remarkably well with the model, and the predictive power of the mass model is good. With a systematic study of 17 global nuclear mass models, we find that the quadratic form of the IMME is closely related to the accuracy of nuclear mass calculations when the Garvey-Kelson relations are reproduced reasonably well. Fulfilling both the IMME and the Garvey-Kelson relations seems to be two necessary conditions to improve the quality of the model prediction. Furthermore, the alpha-decay energies of super-heavy nuclei should be used as an additional constraint on the global nuclear mass models.Comment: 10 figures, 2 tables; version to appear in Phys. Rev.

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Section: The Nuclear Mass Model and Some Correctionsmentioning

confidence: 85%

Further improvements on a global nuclear mass model

et al. 2011

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“…This idea was proposed for the first time by Briancon and Mikhailov [566]. However, another prediction is the possible existence of tetrahedral shapes and, in particular, in the actinide region [567,568]. Such shapes are characterized by a triaxial octupole deformation Y 32 , together with a near-zero quadrupole deformation Y 20 .…”

Section: Shape Transitions In Rotating Nucleimentioning

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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“…Over the years this question has been studied from a theoretical [11,12,13] and an experimental [14,15] point of view. The former studies have been consistently carried out in a mean-field approach usually supplemented with pairing correlations.…”

Section: Introductionmentioning

confidence: 99%