Ground-state properties of the heaviest nuclei analyzed in a multidimensional deformation space

Patyk, Z.; Sobiczewski, A.

doi:10.1016/0375-9474(91)90823-o

Cited by 304 publications

(168 citation statements)

References 31 publications

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“…6. The values of the macroscopic parameters v , c a and c 0 are in good agreement with those found in [46], where a global adjustment of the model parameters was performed, and with the ones found in a mass calculation in the heavy-nuclei region [51]. The response of the model to a change of the pairing parameter t was found to besoft.…”

Section: A Macroscopic-microscopic Mass Formula -P R E Diction Of Massupporting

confidence: 81%

High-accuracy mass determination of unstable cesium and barium isotopes

et al. 1999

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Direct mass measurements of short-lived Cs and Ba isotopes have been performed with the tandem Penning trap mass spectrometer ISOLTRAP installed at the online isotope separator ISOLDE at CERN. Typically, a mass resolving power of 600 000 and an accuracy of m 13 keV have been obtained. The masses of 123;124;126 Ba and 122m Cs were measured for the rst time. A least-squares adjustment has been performed and the experimental masses are compared with theoretical ones, particularly in the frame of a macroscopic-microscopic model.

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Section: A Macroscopic-microscopic Mass Formula -P R E Diction Of Massupporting

confidence: 81%

High-accuracy mass determination of unstable cesium and barium isotopes

et al. 1999

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“…More than five-dimensional grids, keeping in mind a subsequent interpolation, are intractable in calculations for many (∼ 1000) nuclei. Including mass-and axially-symmetric deformations (β 20 , β 40 , β 60 , β 80 -see [26][27][28][29] together with both, mass-asymmetry (β 30 , β 50 , β 70 ) and triaxiality (at least β 22 ) would mean at least an eight-dimensional mesh and was impossible at present.…”

Section: The Methodsmentioning

confidence: 99%

Adiabatic fission barriers in superheavy nuclei

2017

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Using the microscopic-macroscopic model based on the deformed Woods-Saxon single-particle potential and the Yukawa-plus-exponential macroscopic energy we calculated static fission barriers B f for 1305 heavy and superheavy nuclei 98 ≤ Z ≤ 126, including even -even, odd -even, evenodd and odd -odd systems. For odd and odd-odd nuclei, adiabatic potential energy surfaces were calculated by a minimization over configurations with one blocked neutron or/and proton on a level from the 10-th below to the 10-th above the Fermi level. The parameters of the model that have been fixed previously by a fit to masses of even-even heavy nuclei were kept unchanged. A search for saddle points has been performed by the "Imaginary Water Flow" method on a basic five-dimensional deformation grid, including triaxiality. Two auxiliary grids were used for checking the effects of the mass asymmetry and hexadecapole non-axiallity. The ground states were found by energy minimization over configurations and deformations. We find that the non-axiallity significantly changes first and second fission barrier in many nuclei. The effect of the mass -asymmetry, known to lower the second, very deformed barriers in actinides, in the heaviest nuclei appears at the less deformed saddles in more than 100 nuclei. It happens for those saddles in which the triaxiallity does not play any role, what suggests a decoupling between effects of the mass-asymmetry and triaxiality. We studied also the influence of the pairing interaction strength on the staggering of B f for oddand even-particle numbers. Finally, we provide a comparison of our results with other theoretical fission barrier evaluations and with available experimental estimates.

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“…A macro-micro analysis of the equilibrium deformations [40] and the shell structure [41] has shown that it is sufficient to consider the multipolarities up to λ = 8. The contribution of λ = 9 and 10 is already negligible.…”

Section: Methods Of the Analysismentioning

confidence: 99%

Theoretical description of superheavy nuclei

Sobiczewski¹

2011

Radiochimica Acta

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Superheavy nuclei and elements / Nuclear mass / α-Decay energy / α-Decay half-life / Single-particle spectra / α-Decay chains Summary. A short review of the studies of superheavy nuclei (SHN), done recently in our theoretical group of Warsaw, is presented. Main attention is given to description of the properties of SHN. The description is performed by macroscopic-microscopic methods. Such properties as mass, α-decay energy and α-decay half-life are considered. Special attention is devoted to the analysis of the half-life. Although mainly treated in a phenomenological way, the role of the microscopic structure of a nucleus in this quantity is tested. It is found that this structure may significantly change the half-life of nuclei with the odd nucleon (or nucleons).

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Ground-state properties of the heaviest nuclei analyzed in a multidimensional deformation space

Cited by 304 publications

References 31 publications

High-accuracy mass determination of unstable cesium and barium isotopes

High-accuracy mass determination of unstable cesium and barium isotopes

Adiabatic fission barriers in superheavy nuclei

Theoretical description of superheavy nuclei

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