The page shows the nuclear energy maps obtained in the framework
of macroscopic-microscopic model based on Woods-Saxon single
particle potential and different macroscopic components: liquid
drop or folded Yukawa model. The maps are plotted on
α20α22 plane or on
the xy plane where
x = β cos(γ+30°)
y = β sin(γ+30°)
The title of the map informs you on the model used.
Maps of αα type are plotted on
α20α22 plane where
the α's are the coefficients defining the shape of
the nuclear potential
R(θ,φ) = C (1 + ∑λμ
The map is a projection onto the
the five dimensional space of deformations defined by
(λ,μ) indices in the formula shown above.
We used the following set of αλμ
(λ,μ) = (2,0), (2,2), (4,0), (6,0), (3,0)
Here α22 corresponds to nonaxiality
and the α30 to the mirror asymmetry
of the nuclear shape.
The βγ maps or xy ones are ploted on
2dim space defined in the following way:
x = β cos(γ+30°)
y = β cos(γ+30°)
This is the transformation from
β = sqrt(α202+
γ = sign(α22)
To display a map choose Nuclei, below. You will
see the chart of nuclei. At the top menu chose the map type
click one of αα or xy option;
the default is αα.
Click the Nuclei (nucleus) in the menu
To change the color scale of the map choose the View1,
View2 or View3 option in the menu.
You can also use the menu at the top of the figure. It
will be visible when your mouse pointer hovers the
The web page contains some part of results obtained in the
project New Approach to Theoretical Determination of
Stability of Exotic Nuclei with Estimates of Modelling
The project is sponsored by National Science Centre, Poland
(in polish NCN) under the contract NCN Research Project
No. 2016/21/B/ST2/01227 and NCN Agreement
Subjects of the project include
Calculation of properties of the K isomers.
Calculation of the total energy surfaces of the shape
Calculation of the collective rotational properties in
the coexisting minima in the even-even nuclei.
Evaluation of the uncertainties of the modelling of the
single particle levels and the implications for the
predictions of the isomers.
All of calculations are performed mainly in the University of
Maria Curie Skłodowska (UMCS) in Lublin.
Follow the menu on the left hand side of the page to learn
how to use the page.