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Empirical relations for the fusion cross sections of heavy ions

  • Regular Article - Theoretical Physics
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Abstract.

Simple relations for a calculation of the barrier height B, radius R and curvature \( \hbar \omega\) parameters used in the Wong formula for an evaluation of the heavy-ion fusion cross section are presented. These relations are obtained by a fitting of 1995 experimental cross section values measured for 85 even-even heavy-ion systems ranging from 12C + 12C with \( Z_{1}Z_{2} = 36\) to 58Ni + 124Sn with \( Z_{1}Z_{2} = 1400\). Substituting these formulas for B, R and \( \hbar \omega\) into the Wong formula we can estimate both the fusion cross section of different spherical nuclei and the astrophysical S-factor. The value of the root-mean-square error of the decimal logarithm of the fusion cross section is 0.225.

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Authors and Affiliations

  1. Institute for Nuclear Research, Prospect Nauki 47, 03028, Kiev, Ukraine

    V. Yu. Denisov

  2. Financial University, Leningradsky Prospect 49, 125993, Moscow, Russia

    I. Yu. Sedykh

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  1. V. Yu. Denisov
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  2. I. Yu. Sedykh
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Correspondence to V. Yu. Denisov.

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Communicated by P. Capel

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Denisov, V.Y., Sedykh, I.Y. Empirical relations for the fusion cross sections of heavy ions. Eur. Phys. J. A 55, 153 (2019). https://doi.org/10.1140/epja/i2019-12855-6

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