Deformations and moments of inertia of actinide nuclei in the ground and shape isomeric states

Brack, Matthias; Ledergerber, T.; Pauli, Hans–Christian; Jensen, A. S.

doi:10.1016/0375-9474(74)90386-8

Cited by 91 publications

(23 citation statements)

References 22 publications

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“…It is characteristic that the ratio increases in a systematic way when A increases. Since the authors of [29] themselves notice the overestimation of the obtained J ⊥ values, related to e.g. experimental data, so such their incorrect result and the calculation of the ratio we presented above show in favour of our results.…”

Section: M(even-even)< M(odd-a) When I=0contrasting

confidence: 56%

“…• The paper [29] /2 obtained in our elaboration for even-even nuclei with J ⊥ values in [29], we see that our results are lower. The ratio values for 23 isotopes are contained in the range 0 56 ÷ 1 13 when the mass number, A increases from 224 to 256.…”

Section: M(even-even)< M(odd-a) When I=0mentioning

confidence: 53%

“…Since according to e.g. [27][28][29] the actinides in the low spin states are the nuclei of normal deformation (ND), (their deformation parameter β < 0 3) it is stated (also in the results of this paper) that the moment of inertia reduction effect occurs when compared to the values expected for a rigid body. This is noticeable when the values M(0)= 0 , obtained in the present paper, are compared with the values compiled in [8,9].…”

Section: −1mentioning

confidence: 81%

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Dynamic rotational characteristics of actinides on empirical approach

Kaczmarczyk¹,

Korejwo²

2008

Open Physics

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Abstract:In the paper calculation of the moments of inertia for nuclei from the region 87 ≤ Z ≤ 100 and 130 ≤ N ≤ 156 was made in dependence on the angular momentum of their rotational states. The experimental values of the moments of inertia were calculated for rotational energy of the classic rotor in its quantum form, with the use of a simple formula. The moment of inertia term appearing in the formula was treated as a variable. The calculations were carried out on the basis of experimental data for the energies of the rotational levels for 51 bands built on ground states for even-even nuclei and for nuclei with odd mass number A. In addition, 30 rotational bands built on excited states were also analysed in the investigated region in case of eveneven nuclei. For many bands and nuclei the considered dependence of the moment of inertia on angular momentum has been found in the analytical form by fitting polynomials to the experimental data. It turned out that obtained results for the moments of inertia made it possible to describe the energies of rotational levels with a relative deviation not greater or only slightly greater than 1%. In general, in the case of 12 bands of ground level the maximum relative deviation of obtained level energies is smaller than 1‰. PACS

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Section: M(even-even)< M(odd-a) When I=0contrasting

confidence: 56%

Section: M(even-even)< M(odd-a) When I=0mentioning

confidence: 53%

Section: −1mentioning

confidence: 81%

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Dynamic rotational characteristics of actinides on empirical approach

Kaczmarczyk¹,

Korejwo²

2008

Open Physics

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“…As an alternative, one could define the jellium density in polar coordinates by following [53]. Different to Eq.…”

Section: Jellium Potentialmentioning

confidence: 99%

“…~~q~/~ 1/(i -q 2 ) c0s2 e + q 2 r(8) = into the projection bo, which is defined in [53], ensures that the volume is conserved. Again we obtain analytical expressions for the expansion coefficients p 2 and p4 and 3…”

Section: )mentioning

confidence: 99%

Spheroidally deformed sodium clusters in the selfconsistent jellium model

1994

Self Cite

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Abstract. We present the first systematic study of potential energy curves and prolate-oblate shape transitions of sodium clusters with 8 < N< 40 atoms. The Kohn-Sham equations are solved in the local density approximation for the jellium model with spheroidal deformations. The ionic background density is taken to have a diffuse surface of Woods-Saxon type. The quadrupole and hexadecupole moments of the electron and jellium densities are investigated, revealing a strong hexadecupole dependence for selected clusters. Collective dipole resonances are described in the simple surface plasmon model. Shape transitions are found to occur at particle numbers 12-14 (prolate-oblate), 18 -20-22 (oblate-spherical-prolate) and 30-32 (prolate-oblate), which are in good agreement with experimental results; triaxiality is predicted for Na-36. Comparing our results with those of molecular dynamics calculations, we confirm the scheme of Kohn-Sham levels and the gross behaviour of potentials and densities.

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Messung extremer Kerndeformation von Spaltisomeren

Habs

Metag

1978

Phys. Bl.

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Existenz und Eigenschaften spontan spaltender Isomere werden als Konsequenz einer doppelhöckrigen Spaltbarriere diskutiert. Die Messung des Quadrupolmoments im spaltisomeren Zustand mit Hilfe einer neu entwickelten Methode zur Bestimmung der Lebensdauern angeregter Kernzustände ergibt eine zigarrenförmige Gestalt des Kerns mit einem Achsenverhältnis von 2:l und erbringt damit den quantitativen Nachweis der extrem großen Kerndeformation im zweiten Minimum des Spaltpotentials.

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Deformations and moments of inertia of actinide nuclei in the ground and shape isomeric states

Abstract: Abstract:Using

Cited by 91 publications

References 22 publications

Dynamic rotational characteristics of actinides on empirical approach

Dynamic rotational characteristics of actinides on empirical approach

Spheroidally deformed sodium clusters in the selfconsistent jellium model

Messung extremer Kerndeformation von Spaltisomeren

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