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

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Abstract.

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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Authors and Affiliations

  1. Department of Physics, Dehdasht Branch, Islamic Azad University, Dehdasht, Iran

    Kh. Benam

  2. Department of Physics, Faculty of Sciences, University of Sistan and Baluchestan, Zahedan, Iran

    V. Dehghani & S. A. Alavi

Authors
  1. Kh. Benam
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  2. V. Dehghani
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  3. S. A. Alavi
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Corresponding author

Correspondence to Kh. Benam.

Additional information

Communicated by F. Gulminelli

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All data generated during this study]

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Benam, K., Dehghani, V. & Alavi, S.A. Role of magic numbers in thermodynamic quantities of 206Pb and 138Ba using BCS and Lipkin-Nogami models. Eur. Phys. J. A 55, 105 (2019). https://doi.org/10.1140/epja/i2019-12785-3

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  • DOI: https://doi.org/10.1140/epja/i2019-12785-3

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