Study of Superdeformation in Non-rotating States
using the Skyrme-Hartree-Fock Method
Satoshi Takahara,
Naoki Tajima,
Naoki Onishi
Institute of Physics, Graduate School of Arts and Sciences,
University of Tokyo, Komaba, 153-8902, Japan
Abstract
The superdeformation (SD) in non-rotating states is studied with the
HF+BCS method using the Skyrme interaction.
In applying the BCS theory, the seniority pairing force is employed,
of which strengths are determined in order to reproduce the empirical
pairing gap formula, $\bar{\Delta} = 12 A^{-1/2}$, through a smooth
level density obtained in the Thomas-Fermi approximation.
Properties of superdeformation are investigated by calculating
potential energy surfaces (PES) for various sets of the pairing force
strengths and the Skyrme force parameter for $^{194}$Hg and $^{236,
238}$U.
The best results are obtained using both the SkM$^{\ast}$ force and
the pairing force strength determined in this paper.
By making use of this set of forces, a systematic calculation of SD
states is carried out extensively for even-even nuclei for $20 \le Z
\le 82$.
From our calculation, the barriers preventing the decay into the
normally deformed states are about twice as high as those predicted by
Krieger et al., who used the same Skyrme interaction but a pairing
force stronger than ours. The differences of the present results from
the Nilsson-Strutinsky calculation are analyzed.
PACS:
21.10.Ky; 21.10.Pc; 21.10.Tg; 21.60.Jz
Keywords:
Zero-spin superdeformation; Skyrme-Hartree-Fock;
history (y/m/d):
1998/7/10: This page was orignally prepared by Satoshi Takahara
2001/6/27: Error correction: Wrong files (
PS and jpg)
for Fig.4 were replaced with the correct
(published) one.
2001/6/27: Three versions of the text part files are distinguishable now.
