论文标题
斜向和kaon的空间和动量成像
Spatial and Momentum Imaging of the Pion and Kaon
论文作者
论文摘要
我们通过协变量伯特 - 钙板波函数的光前突起确定呈锥形和kaon的领先状态光前波函数（LFWFS）。使用这些LFWF，我们研究了由Parton分布函数（GPD）和横向动量依赖的Parton分布函数（TMDS）提供的PION和KAON价的多维图像。 GPD的力矩用于获得锥形和KAON的电磁和重力形式，并与可用的实验和晶格数据进行比较。这项研究的亮点包括预测，Pion和Kaon中夸克的均方冲击参数为：$ \ langle \ vec {b} _t _t^2 \ rangle_ {u}^π= 0.11 $ fm $ fm $^2 $，$ \ langle，$ \ langle \vec{b}_T^2\rangle_{s}^K=0.08$fm$^2$, and $\langle \vec{b}_T^2\rangle_{u}^K=0.13$fm$^2$, and therefore the $s$ quark in the kaon is much closer to the center of transverse momentum than the $u$ quark.从电磁和重力形式因素中，我们发现轻锥半径比乳头和kaon中每个夸克扇区的轻型电荷半径小约60 \％。通过与完整的DSE计算（包含Fock状态的无限塔）进行比较，可以对领先的Fock状态的重要性进行定量度量。
We determine the leading Fock state light front wave functions (LFWFs) of the pion and kaon via light front projections of the covariant Bethe-Salpeter wave function. Using these LFWFs we study the multi-dimensional images of the valence quarks in the pion and kaon that are provided by their generalized parton distribution functions (GPDs) and transverse momentum dependent parton distribution functions (TMDs). Moments of the GPDs are taken to obtain the electromagnetic and gravitational form factors of the pion and kaon, and comparisons to available experimental and lattice data are made. Highlights from this study include predictions that the mean-squared impact parameter for the quarks in the pion and kaon are: $\langle \vec{b}_T^2\rangle_{u}^π=0.11$fm$^2$, $\langle \vec{b}_T^2\rangle_{s}^K=0.08$fm$^2$, and $\langle \vec{b}_T^2\rangle_{u}^K=0.13$fm$^2$, and therefore the $s$ quark in the kaon is much closer to the center of transverse momentum than the $u$ quark. From the electromagnetic and gravitational form factors we find that the light-cone energy radii are about 60\% smaller than the light-cone charge radii for each quark sector in the pion and kaon. A quantitative measure of the importance of the leading Fock state is obtained via comparison with a full DSE calculation (containing an infinite tower of Fock states) for the pion form factor.
