A comparative analysis of the astrophysical S factor and the reaction rate for the direct $\alpha {(d,\gamma )}^6\mathrm{Li}$ capture reaction, and the primordial abundance of the ⁶Li element, resulting from two-body and three-body 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 three-body orthogonolizing pseudopotential models. It yields a value of $(0.67\pm 0.01)\times {10}^{-14}$ for the ⁶Li/H primordial abundance ratio, consistent with the estimate $(0.80\pm 0.18)\times {10}^{-14}$ of the LUNA collaboration. For the ${}^6\mathrm{Li}{/}^7\mathrm{Li}$ abundance ratio an estimate $(1.30\pm 0.12)\times {10}^{-5}$ is obtained in good agreement with the Standard Model prediction.

天体物理S因子与直接反应速率的比较分析 $\alpha {（d，\gamma ）}^6\mathrm{里}$捕获反应，以及⁶的原始丰度提出了由两体和三体聚类模型得出的Li元素。结果表明，基于精确质量处方的两体模型不能正确描述同位旋禁止的E1 S因子对能量的依赖性，并且不能从直接LUNA数据中再现反应速率的温度依赖性。 。结果表明，在三体模型中，禁止同位旋的E1天体S因子对保利禁止态的正交过程非常敏感。另一方面，E2 S因子不依赖于正交化方法。这确保了正交化准电势方法可以很好地描述LUNA合作的低能直接数据。同时，SUSY转换大大低估了LUNA合作中的数据。另一方面，两种方法中E1 S因子的能量依赖性相同。对天体S因子和反应速率的LUNA数据的最佳描述是在三体正交变拟假势模型中获得的。产生的值为$（0.67\pm 0.01）\times {10}^{-14}$为⁶栗/ H原始丰度比，与估计一致$（0.80\pm 0.18）\times {10}^{-14}$LUNA合作。为了${}^6\mathrm{里}{/}^7\mathrm{里}$ 丰度比估算 $（1.30\pm 0.12）\times {10}^{-5}$ 与标准模型预测非常吻合。