Study of Stability Properties of Super-Heavy Elements using the Two ...

Study of Stability Properties of
Super-Heavy Elements using the
Two Center Shell Model
L. Felipe Ruiz, Y. Martinez Palenzuela, and Walter Greiner
Frankfurt Institute for Advanced Studies, J. W. Goethe University, Frankfurt am
Main, 60438 Germany
A. V. Karpov and V. I. Zagrebaev
Flerov Laboratory of Nuclear Reactions, JINR, Dubna, 141980 Russia

Topics:
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Motivation.
Model.
Potential Surfaces.
Results.
Conclusions

Motivation.
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Study of new candidates for the development of
new superheavy elements.
Few systematic studies on the region of
superheavy elements.
Localization of the Stability Islands.

S. Hofmann and G. M¨unzenberg, Rev. Mod. Phys. 72, 733 (2000).
Super-Heavy Region

Two Center Shell Model
h
H = − ∇ + V + V , , + V , .
2
ˆ 2
( r) LS( r p s) 2 ( r p)
L
2m0
( a )
( b )
( c)
V V ε = E/E 0
V
V 0
b 1
b 1
b 2
a 1
a 2
a 1 | z 1 | z 2 a 2
a 1 | z 1
| z 2 a 2
E 0
E
ρ ρ ρ
z 1=z2 =0
z
b 1 b 2
b 2
z
|z max | z min
1
2
r =0.75 R (1+ )
r
0 δ 2/3 r
J. Maruhn and W. Greiner, Z. Phys, 1972
A. V. Karpov, Flerov Laboratory of Nuclear Reactions, JINR, Dubna

Stability Properties
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alpha Half-Life.
beta Half-Life.
Spontaneous Fission Half-Life.
beta2 deformation parameter.
Shell Correction.

One dimension potential.
Mg.s.Mexp ( )- th ( g.s. ), MeV
6
4
2
0
-2
-4
-6
rms=1.19 MeV
0 50 100 150 200 250
A
A. V. Karpov, Flerov Laboratory of Nuclear Reactions, JINR, Dubna

Three dimensions potential.

Systematic Calculation of beta2 Deformation and
Shell Correction in the Super-Heavy Region.

Potential Surfaces

Alpha Half-life

Conclusions
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The Calculations are validated with
Experimental Data(Audi) and Moller.
It is possible to get good results of the Stability
parameters and to predict Stability Islands.
We can focus in more small areas for get more
details and include Spontaneous Fission
calculations.

The End.