https://doi.org/10.1140/epja/i2004-10111-0
Shell energy in the heaviest nuclei using the Green’s function oscillator expansion method
1
Institute of Physics, Warsaw University of Technology, ul. Koszykowa 75, PL-00662, Warsaw, Poland
2
Department of Physics and Astronomy, The University of Tennessee, 37996, Knoxville, TN, USA
3
Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, 37831, Oak Ridge, TN, USA
4
Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw, Poland
* e-mail: wanda@if.pw.edu.pl
Received:
10
October
2004
Accepted:
26
November
2004
Published online:
18
January
2005
The Green’s function oscillator expansion method and the generalized Strutinsky smoothing procedure are applied to shell corrections in the heaviest elements. A macroscopic-microscopic method with a finite deformed Woods-Saxon potential is used. The stability condition for the shell correction is discussed in detail and the parameters defining the smoothing procedure are carefully determined. It is demonstrated that the spurious contribution to the total binding energy due to the unphysical particle gas that appears in the standard method can be as large as 1.5 MeV for weakly bound neutron-rich superheavy nuclei, but the effect on energy differences (e.g., alpha-decay values) is fairly small.
PACS: 21.10.Dr Binding energies and masses – / 21.60.-n Nuclear structure models and methods – / 27.90.+b 220 ⩽ A –
© Società Italiana di Fisica and Springer-Verlag, 2005
