论文标题
使用局部手性电位在Deuteron上捕获MUON
Muon capture on deuteron using local chiral potentials
论文作者
论文摘要
MUON捕获反应$μ^ - + d \ rightArrow n + n + n + n + n +ν_μ$在Doublet超细胞状态中是使用核电位和在手性有效野外理论中得出的一致电流研究的，这些电位是局部的，并在坐标空间（所谓的诺福克模型）中表达。仅考虑$^1s_0 $ $ nn $散射状态而导致的最大贡献。特别关注对理论不确定性的估计，为此确定了四个来源：（i）模型依赖性，（ii）弱核电流的手性顺序收敛，（iii）单核轴向形式的不确定性，（iv）（iv）用于解决界限和分散$ a Systems的数字技术。最后的不确定性来源本质上可以忽略不计。 $^1S_0 $ DOBLET MUON捕获率$γ^d（^1s_0）$是$γ^d（^1s_0）= 255.8（0.6）（4.4）（4.4）（2.9）$ s $^{ - 1} $，其中三个错误来自前三个错误的不满意。将在本地手性框架中获得的$γ^d（^1s_0）$的值与以前的计算进行了比较，并以非常好的一致性发现。
The muon capture reaction $μ^- + d \rightarrow n + n + ν_μ$ in the doublet hyperfine state is studied using nuclear potentials and consistent currents derived in chiral effective field theory, which are local and expressed in coordinate-space (the so-called Norfolk models). Only the largest contribution due to the $^1S_0$ $nn$ scattering state is considered. Particular attention is given to the estimate of the theoretical uncertainty, for which four sources have been identified: (i) the model dependence, (ii) the chiral order convergence for the weak nuclear current, (iii) the uncertainty in the single-nucleon axial form factor, and (iv) the numerical technique adopted to solve the bound and scattering $A=2$ systems. This last source of uncertainty has turned out essentially negligible. The $^1S_0$ doublet muon capture rate $Γ^D(^1S_0)$ has been found to be $Γ^D(^1S_0)=255.8(0.6)(4.4)(2.9)$ s$^{-1}$, where the three errors come from the first three sources of uncertainty. The value for $Γ^D(^1S_0)$ obtained within this local chiral framework is compared with previous calculations and found in very good agreement.
