### About

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

*α*_{20}α_{22} plane or on
the

*xy* plane where

*x = β cos(γ+30°)*

and

*y = β sin(γ+30°)*

The title of the map informs you on the model used.

Maps of

*αα* type are plotted on

*α*_{20}α_{22} plane where
the

*α*'s are the coefficients defining the shape of
the nuclear potential

*R(θ,φ) = C (1 + ∑*_{λμ}
α_{λμ}
Y_{λμ}(θφ))

The map is a projection onto the
*α*_{20}α_{22}-plane from
the five dimensional space of deformations defined by
*(λ,μ)* indices in the formula shown above.
We used the following set of *α*_{λμ}
deformations

*(λ,μ) = (2,0), (2,2), (4,0), (6,0), (3,0)*

Here

*α*_{22} corresponds to nonaxiality
and the

*α*_{30} to the mirror asymmetry
of the nuclear shape.

The

*βγ* maps or

*xy* ones are ploted on
2

*dim* space defined in the following way:

*x = β cos(γ+30°)*

*y = β cos(γ+30°)*

This is the transformation from
*α*_{20}α_{22} plane
defined as

*β = sqrt(α*_{20}^{2}+
2α_{22}^{2})

*γ = sign(α*_{22})
arccos(α_{20}/β)

### Introduction

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
Uncertainties*.

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
No. UMO-2016/21/B/ST2/01227*.

Subjects of the project include

- Calculation of properties of the K isomers.
- Calculation of the total energy surfaces of the shape
isomers.
- 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.