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Title: Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional

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 {sub 114}{sup 298}X{sub 184}. As for the neutron-separationmore » energies S{sub n} along the isotopic chain of this element, our results are close to the predictions of the so-called micro-macro method.« less

Authors:
Publication Date:
OSTI Identifier:
21436216
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 73; Journal Issue: 10; Other Information: DOI: 10.1134/S1063778810100054; Copyright (c) 2010 Pleiades Publishing, Ltd.; Journal ID: ISSN 1063-7788
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CALCIUM; DEFORMED NUCLEI; HARTREE-FOCK METHOD; HEAVY NUCLEI; LEAD; L-S COUPLING; MAGIC NUCLEI; NEUTRON SEPARATION ENERGY; NUCLEONS; SKYRME POTENTIAL; SPHERICAL CONFIGURATION; SPIN; TRANSACTINIDE ELEMENTS; URANIUM; ACTINIDES; ALKALINE EARTH METALS; ANGULAR MOMENTUM; APPROXIMATIONS; BARYONS; BINDING ENERGY; CALCULATION METHODS; CONFIGURATION; COUPLING; ELEMENTARY PARTICLES; ELEMENTS; ENERGY; FERMIONS; HADRONS; INTERMEDIATE COUPLING; METALS; NUCLEI; NUCLEON-NUCLEON POTENTIAL; PARTICLE PROPERTIES; POTENTIALS; TRANSPLUTONIUM ELEMENTS; TRANSURANIUM ELEMENTS

Citation Formats

Tolokonnikov, S V, and Saperstein, E. E., E-mail: saper@mbslab.kiae.r. Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional. United States: N. p., 2010. Web. doi:10.1134/S1063778810100054.
Tolokonnikov, S V, & Saperstein, E. E., E-mail: saper@mbslab.kiae.r. Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional. United States. doi:10.1134/S1063778810100054.
Tolokonnikov, S V, and Saperstein, E. E., E-mail: saper@mbslab.kiae.r. Fri . "Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional". United States. doi:10.1134/S1063778810100054.
@article{osti_21436216,
title = {Description of superheavy nuclei on the basis of a modified version of the DF3 energy functional},
author = {Tolokonnikov, S V and Saperstein, E. E., E-mail: saper@mbslab.kiae.r},
abstractNote = {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 {sub 114}{sup 298}X{sub 184}. As for the neutron-separation energies S{sub n} along the isotopic chain of this element, our results are close to the predictions of the so-called micro-macro method.},
doi = {10.1134/S1063778810100054},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 10,
volume = 73,
place = {United States},
year = {2010},
month = {10}
}