Radiative capture reaction $d(\alpha ,\gamma )^{6}Li $ is the only process in the Big-Bang model that produces ${}^{6}Li $. We develop the formalism based on pionless Effective Field Theory (EFT) for deuteron-alpha scattering to derive the cross-section of deuteron-alpha radiative capture. Based on this model, nucleons and alpha particle interact through separable two-body forces. The alpha particle is assumed point particle and the astrophysical S-factor for the $d(\alpha ,\gamma )^{6}Li $ reaction is calculated in the low-energies. The coulomb effects are also considered as a coulomb correction in the cross-section for two first electric multipole transitions, up to Next to Leading Order (NLO). The obtained results are shown a satisfactory agreement between theoretical and experimental results for the calculated observables.

中文翻译：

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d(α,γ)6Li${d(\alpha,\gamma )^{6}Li}$ 过程的天体物理 S 因子通过有效场理论

辐射捕获反应 $d(\alpha ,\gamma )^{6}Li $ 是 Big-Bang 模型中唯一产生 ${}^{6}Li $ 的过程。我们开发了基于无小子有效场理论 (EFT) 的形式主义，用于 deuteron-alpha 散射，以推导出 deuteron-alpha 辐射捕获的横截面。基于这个模型，核子和阿尔法粒子通过可分离的二体力相互作用。α 粒子被假定为点粒子，$d(\alpha,\gamma)^{6}Li $ 反应的天体物理 S 因子是在低能下计算的。库仑效应也被认为是对两个第一个电多极跃迁的横截面中的库仑校正，直到前导阶次 (NLO)。所获得的结果显示了计算观测值的理论和实验结果之间的令人满意的一致性。