New Research in Physics

Investigation the effect of isospin on the nuclear structure based on the multifractal spectrum of the atomic nucleus

Authors

Vahedeh Razazi 1
Sohrab Behnia 2

1 Islamic Azad University, Urmia

2 Urmia University of Technology

https://doi.org/10.61882/jmrph.9.1.44
Abstract
The Investigation of the statistical distribution of nuclear energy levels and wave functions in the atomic nucleus as a many-body system is necessary for understanding various reactions of the nuclear structure We are considering the multifractal spectrum analysis of wavefunction to investigate the effect of isospin on the nuclear structure. This analysis is compared with the results obtained by the localization length and the statistical analysis of the distribution of energy levels based on the Brody distribution function. For this purpose, the 46Ca with the only neutron in its valence space and its neighbor nuclide 46Sc, which has different isospin because of replacing one proton to neutron in its valance space, are selected for study on the basis of the nuclear shell model. Energy eigenvalues of the system are calculated with NuShellX code. The amplitudes of wave functions can be achieved by modifying in the new version of this code.

Keywords

Multifractal spectrum
Localization length
Brody distribution
Isospin
Nuclear structure
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