论文标题
贝叶斯分析核极化性校正对Muonic H原子和Heions的羔羊移动的分析
Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions
论文作者
论文摘要
目前，与核极化效应的理论评估相关的大量不确定性，从光谱实验中提取核电荷半径的限制。为了促进计算，这些两极分性校正通常表示为无量纲参数$η$中的扩展，在以前的文献中已争辩说，在光 - 核系统中，该概述的近似值为0.33。在这项工作中，我们通过对$μ^2 $ h和$μ^3 $ h原子的核可太极化校正进行贝叶斯分析，以$η$ expansion的各种订单，以$μ^3 $ h原子和$μ^3 $ he $^+$^+$^+$^+$ ions进行$μ^3 $ he $^+$^4 $^+$^+$ ions进行检查。我们的分析支持以下说法：这些系统中的$η\ ll 1 $，发现与先前估计相似的截断不确定性，唯一的例外是$μ^3 $ he $^+$ ion中的截断不确定性，发现更大。
The extraction of nuclear charge radii from spectroscopy experiments in muonic atoms is currently limited by the large uncertainties associated with the theoretical evaluation of the nuclear polarizability effects. To facilitate calculations, these polarizability corrections are conventionally expressed as an expansion in a dimensionless parameter $η$, which has been argued in previous literature to hold an approximate value of 0.33 in light-nuclear systems. In this work, we check this claim by doing a Bayesian analysis of the nuclear-polarizability corrections to the Lamb shift in $μ^2$H and $μ^3$H atoms and in $μ^3$He$^+$ and $μ^4$He$^+$ ions at various orders in the $η$-expansion. Our analysis supports the claim that $η\ll 1$ in these systems and finds truncation uncertainties that are similar to the previous estimate, the only exception being the truncation uncertainties in the $μ^3$He$^+$ ion, which are found to be larger.
