Abstract
The possibility of describing nuclei of the uranium and transuranium region within the generalized method of the energy functional proposed by Fayans and his coauthors is studied. It turned out that, in the functional DF3, it is necessary, for this purpose, to modify the spin-orbit terms whose parameters were chosen in such a way as to describe the binding energies and charge radii of spherical nuclei from calcium to lead. The modified functional (DF3-a) describes well the energy features and charged radii for isotopic chains of uranium and neighboring elements. For deformed nuclei, the deformation was taken into account approximately. The nucleon-drip-line position obtained for these chains proved to be close to the predictions of one of the most successful calculations by the Skyrme-Hartree-Fock method with the HFB-17 functional. It is verified that the use of the functional DF3-a does not impair the description of the properties of lighter nuclei, for which the functional DF3 was devised. Moreover, the modified functional describes better, than the original one, new data on spin-orbit splitting in magic and semimagic nuclei. The calculation with the functional DF3-a confirms the doubly magic nature of the superheavy nuclide 298114 X184. As for the neutron-separation energies S n along the isotopic chain of this element, our results are close to the predictions of the so-called micro-macro method.
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Original Russian Text © S.V. Tolokonnikov, E.E. Saperstein, 2010, published in Yadernaya Fizika, 2010, Vol. 73, No. 10, pp. 1731–1746.
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Tolokonnikov, S.V., Saperstein, E.E. Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional. Phys. Atom. Nuclei 73, 1684–1699 (2010). https://doi.org/10.1134/S1063778810100054
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DOI: https://doi.org/10.1134/S1063778810100054