Toroidal Super-Heavy Nuclei in Skyrme-Hartree-Fock Approach

Details Toroidal Super-Heavy Nuclei in Skyrme-Hartree-Fock Approach Toroidal Super-Heavy Nuclei in Skyrme-Hartree-Fock Approach

2008-11-06

arxiv.org/abs/0811.1052v1

Acta Phys.Polon.B40:753-758,2009

Physics

Nuclear Physics

Nuclear Theory

5 pages, 2 figures, Presented at the Zakopane Conference on Nuclear Physics, September 1-7, 2008

Scientific paper

Within the self-consistent constraint Skyrme-Hartree-Fock+BCS model (SHF+BCS), we found equilibrium toroidal nuclear density distributions in the region of super-heavy elements. For nuclei with a sufficient oblate deformation ($Q_{20}\leq$ -200 b), it becomes energetically favourable to change the genus of nuclear surface from 0 to 1, i.e., to switch the shape from a biconcave disc to a torus. The energy of the toroidal (genus=1) SHF+BCS solution relative to the compact (genus=0) ground state energy is strongly dependent both on the atomic number Z and the mass number A. We discuss the region of Z and A where the toroidal SHF+BCS total energy begins to be a global minimum.

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