簇有效场论中${}^{12}\mathrm{C}$上的辐射质子俘获
Radiative proton capture on ${}^{12}\mathrm{C}$ in cluster effective field theory
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- Center for Exotic Nuclei Studies, Institute for Basic Science（基础科学研究所奇异核研究中心）
- Department of Physics and Astronomy, Louisiana State University（路易斯安那州立大学物理与天文系）
- Institute for Rare Isotope Science, Institute for Basic Science（基础科学研究所稀有同位素科学研究所）
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中文总结 AI 辅助
本文在簇有效场论中计算了碳-12上的辐射质子俘获，通过拟合低能数据确定关键参数，得到S因子与R-矩阵外推一致，并评估了被忽略项的影响。
中文摘要 AI 辅助
在簇有效场论中，通过次领头阶计算了${}^{12}\mathrm{C}$上的辐射质子俘获到${}^{13}\mathrm{N}$基态的过程。在低能下，该反应由$s_{1/2}\to p_{1/2}$的$E1$俘获主导，我们在长波极限下处理这一过程。其振幅受到规范不变性确定的贡献与一个反项$E1$流之间相消干涉的强烈抑制，使得该俘获对次领头项特别敏感。我们拟合了$0.95$~MeV以下的最新数据，确定了$E1$跃迁反项系数、基态渐近归一化系数以及$\frac{1}{2}^+$共振和形状参数。我们得到$S(0)=1.34\pm0.07$~keV\\,b和$S(25~\mathrm{keV})=1.43\pm0.07$~keV\\,b，后者与最近的$R$-矩阵外推结果一致。我们还估计了被忽略的$p$-波$M1$俘获和$\frac{3}{2}^-$共振尾部的影响，发现拟合的渐近归一化系数显著移动，而$S$因子几乎保持不变。
英文摘要
Radiative proton capture on ${}^{12}\mathrm{C}$ to the ground state of ${}^{13}\mathrm{N}$ is calculated in cluster effective field theory through next-to-leading order. At low energy the reaction is dominated by $s_{1/2}\to p_{1/2}$ $E1$ capture, which we treat in the long-wavelength limit. Its amplitude is strongly hindered by destructive interference between the contribution fixed by gauge invariance and a counter-term $E1$ current, making the capture particularly sensitive to subleading terms. We fit the recent data below $0.95$~MeV, determining the $E1$ transition counter-term coefficients together with the ground-state asymptotic normalization coefficient and the $\frac{1}{2}^+$ resonance and shape parameters. We obtain $S(0)=1.34\pm0.07$~keV\,b and $S(25~\mathrm{keV})=1.43\pm0.07$~keV\,b, the latter in agreement with recent $R$-matrix extrapolations. We also estimate the effects of the omitted $p$-wave $M1$ capture and $\frac{3}{2}^-$ resonance tail, and find that the fitted asymptotic normalization coefficient moves substantially while the $S$ factors remain almost unchanged.
