AXIAL AND REFLECTION ASYMMETRY
OF
THE NUCLEAR GROUND STATE

P. MÖLLER
Theoretical Division, Los Alamos National Laboratory, New Mexico 87545, USA

R. BENGTSSON, B. G. CARLSSON, and P. OLIVIUS
Department of Mathematical Physics, Lund Institute of Technology,
SE-22100 Lund, Sweden

T. ICHIKAWA
RIKEN Nishina Center, Riken, Wako, Saitama, 351-0198, Japan

H. SAGAWA
Center for Mathematical Sciences, University of Aizu,
Aizu-Wakamatsu, Fukushima 965-8580, Japan

A. IWAMOTO
Japan Atomic Energy Agency (JAEA),
Tokai-mura, Naka-gun, Ibaraki, 319-1195, Japan

This paper was submitted to
ATOMIC DATA AND NUCLEAR DATA TABLES
September 14, 2007
Revised November 7, 2007
It has been assigned Los Alamos National Laboratory Preprint No LA-UR--07-6469.



Abstract:

More than a decade ago we published a calculation of nuclear ground-state masses and deformations in ATOMIC DATA AND NUCLEAR DATA TABLES 59,185 (1995). In that study, triaxial nuclear shapes were not considered. We have now enhanced our model and studied the influence of triaxial shape degrees of freedom on the nuclear ground-state potential energy (mass) and ground-state shape. It turns out that a few hundred nuclei are affected to a varying degree with the largest effect, about 0.7 MeV, occurring near 108Ru. We here provide a table of the calculated effects of triaxial shape-degrees of freedom. Although axial asymmetry effects were not considered in the 1995 mass calculation, it did study the effects of reflection-asymmetric shape degrees of freedom ε3 on nuclear masses. However, the magnitude of the effect was not tabulated. Here we provide such a table. In addition we calculate the effect in a much improved fashion: we search a 4-dimensional deformation space (ε2,ε3,ε4, and ε6). This is now possible because the computational resources available to us today are more than 100 000 times better than at the time we calculated the mass table published in 1995.
All four Figures are in color, so the paper should be printed on a color printer.

The complete manuscript in color is available for download.

The triaxiality table (TABLE 1) , in computer-readable format, is available for download.
The format is (3I5,F10.3,F10.3,F10.1,F10.2)
The variables are: Z, N, A, ε2, ε4, γ, and ΔEγ

The reflection-asymmetry table (TABLE 2) , in computer-readable format, is available for download.
The format is (3I5,5Ff10.2)
The variables are: Z, N, A, ε2, ε3, ε4, ε6, and ΔEε3


We provide the 4 figures as individual .ps files:

Color Figure 1 is available for download.


Color Figure 2 is available for download.


Color Figure 3 is available for download.


Color Figure 4 is available for download.


Peter Moller
Last modified: Sept 25 2007