Role of magic numbers in thermodynamic quantities of 206Pb and 138Ba using BCS and Lipkin-Nogami models

  • Kh. BenamEmail author
  • V. Dehghani
  • S. A. Alavi
Regular Article - Theoretical Physics


The level density is calculated using the Barden-Cooper-Schriefer (BCS) and Lipkin-Nogami (LN) models for 206Pb and 138Ba nuclei and compared with the experimental data. It has been shown that the calculated level densities using both models are highly matched with the experimental data. The spin cut off factor, moment of inertia, excitation energy, and entropy were calculated using the above mentioned models. The protons in the 206Pb nucleus occupy a closed shell and the 138Ba nucleus has a closed neutron shell. It was revealed that the contribution of the nucleons with magic number to the mentioned thermodynamic quantities is less than that of the nucleons from open shells at low temperature.


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© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics, Dehdasht BranchIslamic Azad UniversityDehdashtIran
  2. 2.Department of Physics, Faculty of SciencesUniversity of Sistan and BaluchestanZahedanIran

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