在少体模型中直接$α+d$ $\rightarrow$ $^6$ Li + $γ$天体物理俘获反应的比较研究
Comparative study of the direct $α+d$ $\rightarrow$ $^6$Li + $γ$ astrophysical capture reaction in few-body models
摘要：
比较分析了两体、三体和组合团簇模型中直接$ α(d,γ)^{6}{\rm Li}$俘获反应的天体物理S因子和反应速率，以及$^6$ Li元素的原始丰度。结果表明，基于精确质量公式的二体模型不能正确描述同位旋禁戒E1 S因子对能量的依赖关系，也不能再现直接LUNA数据中反应速率对温度的依赖关系.结果表明，在三体模型中，同位旋禁阻E1天体物理S因子对Pauli禁阻态的正交化过程非常敏感。另一方面，E2 S因子不依赖于正交化方法。这确保了正交化赝势方法能够很好地描述LUNA合作项目的低能直接数据。与此同时，超对称性转换大大低估了来自LUNA合作的数据。另一方面，E1 S因子的能量依赖性在两种方法中相同。在组合E1（三体核）+E2（两体）模型中得到了对天体物理S因子和反应速率的LUNA数据的最佳描述。它产生的$^6$ Li/H原始丰度比的值为$(0.72 \pm 0.01) \times 10^{-14}$，与LUNA合作的估计值$(0.80 \pm 0.18) \times 10^{-14}$一致。对于$^6{\rm Li}/^7{\rm Li}$丰度比，获得与标准模型预测良好一致的估计$(1.40\pm 0.12)\times 10^{-5}$。
英文摘要：
A comparative analysis of the astrophysical S factor and the reaction rate for the direct $ α(d,γ)^{6}{\rm Li}$ capture reaction, and the primordial abundance of the $^6$Li element, resulting from two-body, three-body and combined cluster models is presented. It is shown that the two-body model, based on the exact-mass prescription, can not correctly describe the dependence of the isospin-forbidden E1 S factor on energy and does not reproduce the temperature dependence of the reaction rate from the direct LUNA data. It is demonstrated that the isospin-forbidden E1 astrophysical S factor is very sensitive to the orthogonalization procedure of Pauli-forbidden states within the three-body model. On the other hand, the E2 S factor does not depend on the orthogonalization method. This insures that the orthogonolizing pseudopotentials method yields a very good description of the LUNA collaboration's low-energy direct data. At the same time, the SUSY transformation significantly underestimates the data from the LUNA collaboration. On the other hand, the energy dependence of the E1 S factor are the same in both methods. The best description of the LUNA data for the astrophysical S factor and the reaction rates is obtained within the combined E1(three-body OPP)+E2(two-body) model. It yields a value of $(0.72 \pm 0.01) \times 10^{-14}$ for the $^6$Li/H primordial abundance ratio, consistent with the estimation $(0.80 \pm 0.18) \times 10^{-14}$ of the LUNA collaboration. For the $^6{\rm Li}/^7{\rm Li}$ abundance ratio an estimation $(1.40\pm 0.12)\times 10^{-5}$ is obtained in good agreement with the Standard Model prediction.
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