Re-examination of fusion hindrance in astrophysical $^{12}$C+$^{12}$C and $^{12}$C+$^{13}$C reactions
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| Format: | Preprint |
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2025
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| _version_ | 1866915687545438208 |
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| author | Uzawa, Kotaro Hagino, Kouichi |
| author_facet | Uzawa, Kotaro Hagino, Kouichi |
| contents | To determine the energy dependence of fusion cross sections at extremely low energies is crucial for various astrophysical processes. In the previous study by Jiang et al. [Phys. Rev. C75, 015803 (2007)], it was concluded that fusion cross sections for the $^{12}$C+$^{12}$C system rapidly drop off as the energy decreases. We here re-examine this hindrance phenomenon. While the previous study fitted the logarithmic slope $L(E)$ of fusion cross sections with a function of $L(E)=A+B/E^n$ and searched the optimum value of $A$ and $B$ with $n=1.5$, we refit the data with the same function for $L(E)$ but by releasing the restriction on $n$. We find that the optimum values of $n$ significantly deviates from $n=1.5$, resulting in the absence of hindrance of fusion cross sections both in the $^{12}$C+$^{12}$C and the $^{12}$C+$^{13}$C systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_18065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Re-examination of fusion hindrance in astrophysical $^{12}$C+$^{12}$C and $^{12}$C+$^{13}$C reactions Uzawa, Kotaro Hagino, Kouichi Nuclear Theory Solar and Stellar Astrophysics Nuclear Experiment To determine the energy dependence of fusion cross sections at extremely low energies is crucial for various astrophysical processes. In the previous study by Jiang et al. [Phys. Rev. C75, 015803 (2007)], it was concluded that fusion cross sections for the $^{12}$C+$^{12}$C system rapidly drop off as the energy decreases. We here re-examine this hindrance phenomenon. While the previous study fitted the logarithmic slope $L(E)$ of fusion cross sections with a function of $L(E)=A+B/E^n$ and searched the optimum value of $A$ and $B$ with $n=1.5$, we refit the data with the same function for $L(E)$ but by releasing the restriction on $n$. We find that the optimum values of $n$ significantly deviates from $n=1.5$, resulting in the absence of hindrance of fusion cross sections both in the $^{12}$C+$^{12}$C and the $^{12}$C+$^{13}$C systems. |
| title | Re-examination of fusion hindrance in astrophysical $^{12}$C+$^{12}$C and $^{12}$C+$^{13}$C reactions |
| topic | Nuclear Theory Solar and Stellar Astrophysics Nuclear Experiment |
| url | https://arxiv.org/abs/2507.18065 |