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arXiv · 2108.12191

Fusion dynamics of $^{12}$C+$^{12}$C reaction: An astrophysical interest within the relativistic mean-field approach

Shilpa Rana·Raj Kumar·M. Bhuyan
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Abstract

The $^{12}$C+$^{12}$C fusion reaction plays a significant role in the later phases of stellar evolution. For a better understanding of the evolution involved, one must understand the corresponding fusion-fission dynamics and reaction characteristics. In the present analysis, we have studied the fusion cross-section along with the S-factor for this reaction using the well-known M3Y and recently developed R3Y nucleon-nucleon (NN) potential along with the relativistic mean-field densities in double folding approach. The density distributions and the microscopic R3Y NN potential are calculated using the NL3$^*$ parameter set. The $\ell$- summed Wong model is employed to investigate the fusion cross-section, with $\ell_{max}$-values from the sharp cut-off model. The calculated results are also then compared with the experimental data. It is found that the R3Y interaction gives a reasonable agreement with the data.

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Shilpa Rana, Raj Kumar, M. Bhuyan. 2021-08-27. Fusion dynamics of $^{12}$C+$^{12}$C reaction: An astrophysical interest within the relativistic mean-field approach. https://doi.org/10.1002/asna.202113953

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