论文标题
在光和重载体中的价夸克的横向动量分布
Transverse momentum distributions of valence quark in light and heavy vector mesons
论文作者
论文摘要
我们研究了轻度和较重的媒介媒介的领先时间反转依赖的偏向动量依赖的parton分布功能（TMD），即$ρ$，$ j/ψ$和$υ$。我们从我们最近的研究中采用$ρ$ $ρ$的领先Fock-State Light Front Wave功能（LF-LFWFS），并补充了$υ$ n $的LF-LFWFS。这些LF-LFWF是从动态求解的伯特 - 盐波函数中提取的。然后对媒介膜TMD进行研究，并在领先的Fock-State处使用光前重叠表示。所有获得的TMD都不逐渐变化，并且使用当前的夸克质量，尤其是张量极化的TMD $ f_ {1lt} $和$ f_ {1tt} $，它进行了符号翻转。除了$ f_ {1lt} $和$ f_ {1tt} $之外，将$ρ$ tmds与其他模型研究进行了比较，并找到了协议。最后，研究了媒介介子的共线PDF。 $ρ$的Valence pdfs $ f_ {1，v}（x）$和$ g_ {1l，v}（x）$被演变为2.4 GEV的比例，与lattice QCD预测相比，其前三个瞬间。还讨论了张量极化PDF $ f_ {1ll}（x）$ in $ x $的定性行为。
We study the leading-twist time-reversal even transverse momentum dependent parton distribution functions (TMDs) of light and heavy vector mesons, i.e., the $ρ$, $J/ψ$ and $Υ$. We employ the leading Fock-state light front wave functions (LF-LFWFs) of $ρ$ and $J/ψ$ from our recent study, and supplement with $Υ$'s LF-LFWFs. These LF-LFWFs are extracted from dynamically solved Bethe-Salpeter wave functions. The vector meson TMDs are then studied with the light front overlap representation at leading Fock-state. All the obtained TMDs are non-vanishing and evolve with current quark mass, in particular the tensor polarized TMDs $f_{1LT}$ and $f_{1TT}$ which undergo a sign flip. The $ρ$ TMDs are compared with other model studies and agreement is found, aside from $f_{1LT}$ and $f_{1TT}$. Finally, the collinear PDFs of vector mesons are studied. The $ρ$'s valence PDFs $f_{1,v}(x)$ and $g_{1L,v}(x)$ are evolved to the scale of 2.4 GeV, with their first three moments compared to lattice QCD prediction. The qualitative behavior of tensor polarized PDF $f_{1LL}(x)$ in $ρ$ at large $x$ is also discussed.
