用无介子有效场论对热能下$nd\rightarrow$ $^3Hγ$过程的新认识
New insight into $nd\rightarrow$ $^3Hγ$ process at thermal energy with pionless effective field theory
摘要：
本文用无介子有效场论（EFT（$π\!\!\!/$））方法研究了氘在热能下的中子辐射俘获。我们提出了详细的计算$nd\rightarrow$ $^3Hγ$振幅传入的双重和四重态通道导致形成一个triton完全在投影方法的基础上的集群配置空间的方法。在目前的工作中，我们考虑所有可能的一体和两体光子相互作用图。事实上，本研究中还包括了对$nd\rightarrow$ $^3Hγ$工艺中的总截面计算结果产生显著变化的其他图表。适当归一化的triton波函数的计算和考虑。我们比较了$nd\rightarrow$ $^3Hγ$的主磁M1-跃迁的横截面与以前的模型相关的理论计算和实验数据的结果，下一个到下一个到领先的顺序$\textrm{N}^2\textrm{LO}$。截面$σ^{(2)}_{tot}=0.297\;(\textrm{LO})+0.124\;(\textrm{NLO})+0.048\;(\textrm{N}^2\textrm{LO})=[0.469\pm0.033]\:\textrm{mb}$的更可接受的结果显示了阶收敛性和截止无关性。在这个过程中，不需要三体电流来重整化高达$\textrm{N}^2\textrm{LO}$的可观测量。
英文摘要：
We take a new look at the neutron radiative capture by a deuteron at thermal energy with the pionless effective field theory (EFT($π\!\!\!/$)) approach. We present in detail the calculation of $nd\rightarrow$ $^3Hγ$ amplitudes for incoming doublet and quartet channels leading to the formation of a triton fully in the projection method based on the cluster-configuration space approach. In the present work, we consider all possible one-body and two-body photon interaction diagrams. In fact, additional diagrams that make significant changes in the results of the calculation of the total cross section in the $nd\rightarrow$ $^3Hγ$ process are included in this study. The properly normalized triton wave function is calculated and taken into consideration. We compare the cross section of the dominant magnetic M1-transition of $nd\rightarrow$ $^3Hγ$ up to next-to-next-to-leading order $\textrm{N}^2\textrm{LO}$ with the results of the previous model-dependent theoretical calculations and experimental data. The more acceptable results for cross section $σ^{(2)}_{tot}=0.297\;(\textrm{LO})+0.124\;(\textrm{NLO})+0.048\;(\textrm{N}^2\textrm{LO})=[0.469\pm0.033]\:\textrm{mb}$ show order by order convergence and cutoff independence. No three-body currents are needed to renormalize observables up to $\textrm{N}^2\textrm{LO}$ in this process.
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