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The role of the screening potential in the deuteron-deuteron thermonuclear reaction rates

2025/04/07 by Faisal Etminan, Etminan, Faisal
Pharmacology, Toxicology and Pharmaceutics · Earth and Planetary Sciences · #Chemical Reactions and Isotopes #Cold Fusion and Nuclear Reactions

paper · pdf · doi:10.48550/arxiv.2504.05003

Abstract

The deuteron-deuteron (D-D) thermonuclear reaction rates in metallic environments (considering the electron screening effects) is calculated using the S-factor functions which were obtained by fitting to low-energy data on D-D reactions. For this purpose, a fitted S-factor model based on the NACRE compilation is employed. This limited the energy range of Big Bang nucleosynthesis (BBN) for the 2\textrmH(d,p) 3\textrmH and 2 \textrmH (d,n) 3\textrmHe reactions. The corresponding Maxwellian-averaged thermonuclear reaction rates of relevance in astrophysical plasmas at temperatures in the range from 106 K to 1010(\textrmor 1.3×108) K are provided in tabular formats. In these evaluations, the screening energy ( Ue ) is assumed to be 100, 400, 750, 1000 eV and 1250 eV. This series of values has been selected based on theoretical and experimental studies conducted so far. % Eventually, our numerical analysis suggests that the ratio of the reaction rate with the screening potential to the reaction rate without the screening potential, can be described by the term exp(4.70 +6.50 Ue/T9) for both 2\textrmH(d,p) 3\textrmH and 2 \textrmH (d,n) 3\textrmHe reactions. This series of values has been selected based on theoretical and experimental studies conducted so far.

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