GLOBAL CALCULATION OF NUCLEAR SHAPE ISOMERS
P. MÖLLER and A. J. SIERK
Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA
R. BENGTSSON
Department of Mathematical Physics,
Lund Institute of Technology,
SE-22100 Lund, Sweden
H. SAGAWA
Center for Mathematical Sciences, University of Aizu
Aizu-Wakamatsu, Fukushima 965-80, Japan
T. ICHIKAWA
RIKEN Nishina Center, Riken, Wako, Saitama, 351-0198,
Japan
This paper is published in Physical Review Letters
103 (2009) 212501
The copy here is from the PRL web site
It has been assigned Los Alamos National Laboratory Preprint No
LA-UR-09-05683)
Abstract:
Nuclear shape isomers are well-known in the Kr and Pb regions.
To evaluate how prevalent shape isomers are across the nuclear
chart we use a well-benchmarked macroscopic-microscopic model to
calculate potential-energy surfaces as functions of spheroidal
,
hexadecapole
,
and axial-asymmetry
,
shape coordinates
for 7206 nuclei
from A = 31 to A = 290.
We analyze these and identify the deformations and energies
of all minima deeper than 0.2 MeV.
The results allow us to identify nuclei
in which {\it shape isomers} may be experimentally
observed. We find that the vast majority of nuclear shape isomers
occur in the A = 80 region, the
A = 100$ region, and in a more extended region
centered around 208Pb. We compare our model to
experimental data for a sequence of Kr isotopes and find encouraging agreement,
motivating our global calculation.
Our main results are presented in
a contour diagram versus N and Z, which for
each nucleus shows the number of minima obtained.
The results reveal one fairly unexplored region of shape isomerism,
which is experimentally
accessible,
namely the region north-east of 208Pb, that is
Z > 82 and N > 126 .
Four of the 7 Figures are in color, so the paper should be printed
on a color printer.
The complete manuscript in color
as a .pdf file
is
available for download.
We provide the 5 figures, formatted for printing full-page, as individual
.ps.gz files
and also as .pdf files which may be suitable
to include in presentation files. The .ps files can
be directly edited by a person knowledgeable
in postscript and will retain their sharpness if
blown up to huge sizes:
Color Figure 1 (ps.gz)
or Figure 1 (.pdf)
are
available for download.
Color Figure 2 (ps.gz)
or Figure 2 (.pdf)
are
available for download.
Color Figure 3 (ps.gz)
or Figure 3 (.pdf)
are
available for download.
Black-and-white Figure 4 (ps.gz)
or Figure 4 (.pdf)
are
available for download.
Color Figure 5 (ps.gz)
or Figure 5 (.pdf)
are
available for download.
Peter Moller
Last modified Thu July 5, 2012