Modified astrophysical S-factor of 12C+12C fusion reaction at sub-barrier energies

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The 12C+12C fusion reaction plays a crucial role in stellar evolution and explosions.Its main open reaction channels include α,p,n,and 8Be.Despite more than a half century of efforts,large differences remain among the ex-perimental data of this reaction measured using various techniques.In this work,we analyze the existing data using a statistical model.Our calculation shows the following:1)the relative systematic uncertainties of the predicted branching ratios decrease as the predicted ratios increase;2)the total modified astrophysical S-factors(S factors)of the p and α channels can be obtained by summing the S factors of their corresponding ground-state transitions and the characteristic y rays,while taking into account the contributions of the missing channels to the latter.After apply-ing corrections based on branching ratios predicted by the statistical model,an agreement is achieved among the dif-ferent data sets at Ecm > 4 MeV,while some discrepancies remain at lower energies,suggesting the need for better measurements in the near future.We find that the S* factor recently obtained from an indirect measurement is incon-sistent with the direct measurement value at energies below 2.6 MeV.We recommend upper and lower limits for the 12C+12C S* factor based on the existing models.A new 12C+12C reaction rate is also recommended.
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