Understanding Nilsson Diagrams for Np-93 Atom

[rubertoda]

anyone know how to read a Nilsson-diagram? I have a Np, z=93 atom and trying to see the proton diagram. How to see the deformation?


I start with the 82 lvl in the diagram and count upwards., 2 protons per lvl. But wouldn't it be the same amount of lines up to the ground state 5/2+ lvl of Np,92 no matter which deformation you start from and count upwards? i know that you should draw a line up from the deformation..¨

please help!

Homework Equations

The Attempt at a Solution

 

[member 553083]

Yes, the same amount of lines will be drawn up to the ground state 5/2+ lvl of Np,92 regardless of which deformation you start from. However, the shapes of the resulting Nilsson diagrams can vary depending on the starting deformation. In order to read a Nilsson diagram, you need to understand the basic principles behind the Nilsson model and its various components. The Nilsson model is a multi-dimensional quantum mechanical model used to describe the structure of atomic nuclei. It is based on the solutions to the Schrödinger equation in terms of harmonic oscillator wave functions. In the Nilsson model, the nucleus is assumed to have an axially symmetric quadrupole deformation which can be described by two parameters: the deformation parameter ε and the orientation angle γ. The Nilsson diagram is then constructed by plotting the energies of the single-particle states as a function of these two parameters. The deformation of the nucleus can then be determined by looking at the shapes of the Nilsson diagrams.