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Mazurek, K.; Dudek, J.; Kmiecik, M.; Maj, A.; Wieleczko, J.P.

doi:10.5506/aphyspolb.42.471

Cited by 14 publications

(60 citation statements)

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“…The middle panel presents the GDR strength functions obtained for both data sets. The results of theoretical predictions based on the liquid drop LSD model [20] for 88 Mo nucleus at average angular momentum I = 41 , temperature T = 3 and I = 44 , T = 4 MeV [21] are shown in the lower panel of Fig. 2.…”

Section: Analysis and Resultsmentioning

confidence: 99%

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Ciemała¹,

Kmiecik²,

Kravchuk³

et al. 2011

Acta Phys. Pol. B

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We report on preliminary results from the experiment performed at Legnaro National Laboratories aiming at the investigation of the shape evolution of the 88 Mo nucleus. The GDR spectra obtained for two data sets measured at 48 Ti beam energy of 300 and 450 MeV corresponding to 3 and 3.8 MeV temperatures, respectively, are presented. The low energy component in GDR strength functions, similar to the theoretical predictions of LSD model, possibly indicates the presence of Jacobi shape transition.

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Section: Analysis and Resultsmentioning

confidence: 99%

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Ciemała¹,

Kmiecik²,

Kravchuk³

et al. 2011

Acta Phys. Pol. B

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“…1 we have somewhat arbitrarily placed vertical reference lines to mark the points further on referred to as α stab. 20 ; by definition at these points the discrepancy caused by the first-contributing pair of multipolarities is equal to 20 keV. The latter symbol and the reference lines will facilitate the discussion below.…”

Section: A Basis Stability Conditions: Axial Symmetrymentioning

confidence: 99%

“…Their experimental detection is relatively indirect but can be achieved for instance by investigating the shape of the Giant Dipole Resonance in function of nuclear spin, Refs. [11][12][13][14][15][16][17][18]. Poincaré shape transitions in turn consist in shape transformations that break the left-right symmetry thus leading to the asymmetric fission-fragment mass-distributions.…”

Section: Comments About Deformation-dependent Congruence Energy Tementioning

confidence: 99%

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Nuclear Jacobi and Poincaré transitions at high spins and temperatures: Account of dynamic effects and large-amplitude motion

et al. 2015

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We present a theoretical analysis of the competition between so-called nuclear Jacobi and Poincaré shape transitions in function of spin -at high temperatures. The latter condition implies the method of choice -a realistic version of the nuclear Liquid Drop Model (LDM), here: the Lublin-Strasbourg Drop (LSD) model. We address specifically the fact that the Jacobi and Poincaré shape transitions are accompanied by the flattening of total nuclear energy landscape as function of the relevant deformation parameters what enforces large amplitude oscillation modes that need to be taken into account. For that purpose we introduce an approximate form of the collective Schrödinger equation whose solutions are used to calculate the most probable deformations associated with both types of transitions and discuss the physical consequences in terms of the associated critical-spin values and transitions themselves.

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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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Cited by 14 publications

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Nuclear Jacobi and Poincaré transitions at high spins and temperatures: Account of dynamic effects and large-amplitude motion

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

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