Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-12-20
Int.J.Mod.Phys.E17:151-159,2008
Physics
Nuclear Physics
Nuclear Theory
9 pages, 5 figures, presented at the XIV Nuclear Physics Workshop in Kazimierz Dolny, Poland (Sept. 2007), to appear in Int. J
Scientific paper
10.1142/S0218301308009641
We discuss the effect of kinetic energy of the relative motion becoming spurious for separate fragments on the selfconsistent mean-field fission barriers. The treatment of the relative motion in the cluster model is contrasted with the necessity of a simpler and approximate approach in the mean-field theory. A scheme of the energy correction to the Hartree-Fock is proposed. The results obtained with the effective Skyrme interaction SLy6 show that the correction, previously estimated as $\sim$ 8 MeV in $A=70-100$ nuclei, amounts to 4 MeV in the medium heavy nucleus $^{198}$Hg and to null in $^{238}$U. However, the corrected barrier implies a shorter fission half-life of the latter nucleus. The same effect is expected to lower barriers for multipartition (i.e. ternary fission, etc) and make hyperdeformed minima less stable.
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