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A realistic numerical treatment of Coulomb potential in comparison with the analytical approximations

  • Regular Article - Theoretical Physics
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Abstract

we conduct a more realistic double-folding numerical treatment of the Coulomb potential in comparison with the usual analytical approximation for the different prescriptions of nuclear radius. By using this double-folding technique, we present that a superior approximation to the standard analytical rigid spheres one could be achieved. The results illustrating the differences for the extensively studied \(^{16}\)O + \(^{208}\)Pb system are presented. It is observed that the potential for the short-ranges, which one expects to be below or up-to the barrier, the analytical approximations are inferior to the double-folding procedure, especially so for the simplest radius choice. Our results clearly show that the analytical approaches are rather poor and the use of the double-folding technique for the Coulomb potential will lead to a better determination of the nuclear potential for the interaction of two nuclei.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and there is no experimental data.]

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Authors and Affiliations

  1. Accelerator and Radiation Laboratory, Ankara University, Ankara, Turkey

    H. Đapo

  2. Department of Physics, Akdeniz University, Antalya, Turkey

    Y. Kucuk & I. Boztosun

Authors
  1. H. Đapo
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  2. Y. Kucuk
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  3. I. Boztosun
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Correspondence to Y. Kucuk.

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Communicated by Alexis Diaz-Torres.

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Đapo, H., Kucuk, Y. & Boztosun, I. A realistic numerical treatment of Coulomb potential in comparison with the analytical approximations. Eur. Phys. J. A 58, 85 (2022). https://doi.org/10.1140/epja/s10050-022-00728-4

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