Indian Journal of Physics

, Volume 93, Issue 9, pp 1203–1209 | Cite as

The effect of the one-body Hamiltonian on the statistical fluctuations of the nuclear energy spectrum in 138Ba using the context of the nuclear shell model

  • Adel K. HamoudiEmail author
  • Shatha F. Murad
Original Paper


The effect of the one-body Hamiltonian on the statistical fluctuations of the nuclear energy spectrum in 138Ba is examined via the framework of the nuclear shell model, using an effective interaction of N82K for six valence protons in the N82-model space with a 132Sn core. The level density for considered class of states is seen to have a Gaussian shape. The spectral fluctuations (i.e., the nearest-neighbors level spacing distribution and the \( \Delta_{3} \) statistic) formed with normal value of single-particle energies are well described by the Gaussian orthogonal ensemble of random matrices. An obvious quantum sign of breaking the chaoticity is seen with doubling the value of single-particle energies.


Quantum chaos Regular-to-chaos transition Spectral fluctuations Level density distributions Shell model calculations in the N82-model space 


24.60.Lz 21.60.Cs 21.10.Ky 



The authors would like to express their thanks to Professor B. A. Brown of the National Superconducting Cyclotron Laboratory, Micihigan State University, for providing the computer code OXBASH.


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Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  1. 1.Department of Physics, College of ScienceUniversity of BaghdadBaghdadIraq
  2. 2.Physiology Department, Medicine CollegeAl-Muthanna UniversitySamawahIraq

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