The study of energy spectrum of chain Barium isotopes using su(1,1) algebra in the transitional region of IBM-1

Document Type : Full length research Paper

Authors

faculty of ilam university

Abstract

In this study, using a SU(1,1) Lie algebra in the Hamiltonian of Interacting Boson Model (IBM-1), we have calculated the energy spectrum of chain Barium isotopes ( 124-130). We have obtained the constants of this spectrum by solving the Bethe equation using the Least Squares method with the Newton-Gauss and Genetic algorithms. Finally we have compared the results of experimental spectra with theoretical spectra and undefined levels of these isotopes were calculated. The results showed that the genetic algorithm has a lower standard deviation compared with the Newton-Gauss algorithm, and also the results of experimental spectra are in good agreement with the theoretical spectra.

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References

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Journal of Research on Many-body Systems
Volume 7, Issue 13
June 2017
Pages 135-142

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History

  • Receive Date: 23 December 2015
  • Revise Date: 29 October 2016
  • Accept Date: 04 January 2017

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