论文标题
通过改进的模型无关方法计算触发电荷半径
Calculation of the pion charge radius from an improved model-independent method
论文作者
论文摘要
我们提出了一种新的与模型无关的方法来计算亲荷径半径。在最近针对Pion电荷半径的最近提供的模型无关的方法中，我们发现很难计算小极质量$ M _ {\ rm {pole}}^2 $和体积由于有限体积效果和高阶污染的系统误差而导致的泰勒（Taylor）污染，因此很难计算小极质量$ m _ {\ rm {pole}}^2 $。我们通过引入一个新的适当功能并提出一种修改方法来避免这种困难，该方法可以计算出小$ m _ {\ rm {pole}}^2 $和音量案例的小$ m _ {\ rm {pole}}^2 $中的系统错误。作为初步结果，我们检查了我们改进的与模型无关的方法是否在模型数据上很好地效果很好，并且在0.51 GEV的PION质量上也是实际的晶状体QCD数据。
We propose a new improved model-independent method for calculating the pion charge radius. In a recently-proposed model-independent method for the pion charge radius, we find it difficult to compute the pion charge radius for small pole mass $M_{\rm{pole}}^2$ and volume due to systematic errors coming from finite volume effect and higher-order contamination of the Taylor expansion of the form factor. We circumvent this difficulty by introducing a new appropriate function and propose a modified method that can calculate the pion charge radius with less systematic errors in the small $M_{\rm{pole}}^2$ and volume cases. As preliminary results, we check that our improved model-independent method works well on a mockup data and also an actual lattice QCD data at the pion mass of 0.51 GeV.
