The deuteron–alpha radiative capture reaction is one of the most important and interesting nuclear reactions in the region of astrophysical energies. This reaction is the only process that produces ${}^6$Li. So it is very useful to find the abundance of lithium isotopes such as the rate of ${}^{6}Li{/}^{7}Li$. In this work, we investigated the deuteron- radiative capture reaction around the $3^{+}$ resonance energy region within the Effective Field Theory (EFT). The multipolarity $E_2$ contribution is dominant around the peak resonance. The astrophysical S-factor of $d{(\alpha ,\gamma )}^{6}Li$ is calculated in the energy range around $E_{cm}$ = 0.711 MeV. The results of radiative capture at energies lower than $3^{+}$ resonance are found to be consistent with other theoretical work and recent experimental data.

氘-α辐射俘获反应是天体物理能量领域最重要和最有趣的核反应之一。这个反应是唯一产生${}^6$李。所以找到锂同位素的丰度是非常有用的，例如${}^6升\mathrm{一世}{/}^7升\mathrm{一世}$. 在这项工作中，我们研究了周围的氘辐射捕获反应$3^{+}$有效场理论 (EFT) 内的共振能量区域。多极化${乙}_2$贡献在峰值共振附近占主导地位。天体物理 S 因子$d{(\alpha ,\gamma )}^6升\mathrm{一世}$ 在能量范围内计算 ${乙}_{C米}$= 0.711 MeV。能量低于$3^{+}$ 发现共振与其他理论工作和最近的实验数据一致。