论文标题
用重叠费米子的乳头形式计算的晶格计算
Lattice Calculation of Pion Form Factor with Overlap Fermions
论文作者
论文摘要
我们使用重叠的费米子对2+1-flavor域壁配置的七个集合构成，其质量从139到340 meV不等。利用快速的傅立叶变换和其他技术来访问源和下沉的动量的许多组合，我们发现Pion均方而一的半径是$ \ langle {r_π^2} \ rangle = 0.430（5）（13）\ {\ rm {\ rm {fm^2}} $，并包括该系统，并包括实验性的结果，ch晶格间距和有限体积依赖性。我们还发现，$ \ langle {r_π^2} \ rangle $都取决于价值和海夸克质量，并预测呈pion fold form sough of $ q^2 = 1.0 \ {\ rm {gev^2}} $，这与实验非常吻合。
We present a precise calculation of the pion form factor using overlap fermions on seven ensembles of 2+1-flavor domain-wall configurations with pion masses varying from 139 to 340 MeV. Taking advantage of the fast Fourier transform and other techniques to access many combinations of source and sink momenta, we find the pion mean square charge radius to be $\langle {r_π^2} \rangle= 0.430(5)(13)\ {\rm{fm^2}}$, which agrees well with the experimental result, and includes the systematic uncertainties from chiral extrapolation, lattice spacing and finite-volume dependence. We also find that $\langle {r_π^2} \rangle$ depends on both the valence and sea quark masses strongly and predict the pion form factor up to $Q^2 = 1.0 \ {\rm{GeV^2}}$ which agrees with experiments very well.
