Shell corrections of superheavy nuclei in self-consistent calculations
- Joint Institute for Heavy Ion Research, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831 (United States)
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States)
- Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, PL-00662, Warsaw, (Poland)
Shell corrections to the nuclear binding energy as a measure of shell effects in superheavy nuclei are studied within the self-consistent Skyrme-Hartree-Fock and relativistic mean-field theories. As a result of the presence of a low-lying proton continuum resulting in a free particle gas, special attention is paid to the treatment of the single-particle level density. To cure the pathological behavior of the shell correction around the particle threshold, a method based on the Green's function approach has been adopted. It is demonstrated that for the vast majority of Skyrme interactions commonly employed in nuclear structure calculations, the strongest shell stabilization appears for Z=124 and 126, and for N=184. On the other hand, in the relativistic approaches the strongest spherical shell effect appears systematically for Z=120 and N=172. This difference probably has its roots in the spin-orbit potential. We have also shown that, in contrast to shell corrections which are fairly independent of the force, macroscopic energies extracted from self-consistent calculations strongly depend on the actual force parametrization used. That is, the A and Z dependence of the mass surface when extrapolating to unknown superheavy nuclei is prone to significant theoretical uncertainties. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215666
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 61, Issue 3; Other Information: PBD: Mar 2000; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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