arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2209.09762nucl-th
收藏

利用局域手征势俘获氘核上的μ子

Muon capture on deuteron using local chiral potentials

L. Ceccarelli, A. Gnech, L. E. Marcucci, M. Piarulli, M. Viviani

摘要:

利用手征有效场论中导出的局部坐标空间的核势和一致性流(即Norfolk模型),研究了双重超精细态μ子俘获反应$μ^- + d \rightarrow n + n + ν_μ$.仅考虑由于$^1S_0$ $nn$散射态的最大贡献。特别注意的是给予估计的理论不确定性,其中四个来源已被确定:(i)模型的依赖性,(ii)手征顺序收敛的弱核电流,(iii)在单核子轴向形状因子的不确定性,以及(iv)采用数值技术来解决绑定和散射$A=2$系统。最后一个不确定性的来源基本上可以忽略不计。已发现$^1S_0$双重态μ子捕获率$Γ^D(^1S_0)$为$Γ^D(^1S_0)=255.8(0.6)(4.4)(2.9)$ s $^{-1}$,其中三个误差来自前三个不确定性来源。$Γ^D(^1S_0)$的本地手性框架内获得的值与以前的计算相比,发现在非常好的协议。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑