论文标题
twist-2轻夸克发行在大型$ n_c $ limit中的单一重型巴里昂中的功能
Twist-2 light-quark distribution functions in a singly heavy baryon in the large $N_c$ limit
论文作者
论文摘要
一个单一的重型重子可以被视为由$ n_c-1 $ light Valence Quarks组成的状态，这些状态在大型$ N_C $限制中创建了平均值字段。在无限沉重的夸克质量的极限下，单身重的重击中的沉重夸克被视为仅静态颜色来源。只需要使单一重型的巴里昂成为颜色单线。因此，$ N_C-1 $ Valence Quarks在单一重型Baryon中管理Quark Dynamics。在此派中，我们研究了在低重新归一化点上，我们研究了扭曲2的扭曲2未偏光和纵向极化的光夸克分布函数。我们观察到，重型重子内的光夸克比核子内部的夸克具有较少的动力。随着夸克质量的增加，此功能更加突出。我们讨论了Baryon总和规则，动量总和规则和Bjorken Spin Sum规则。我们还讨论了夸克分布功能的不平等条件。此外，我们介绍了轻夸克准分布函数的结果。
A singly heavy baryon can be considered as a state consisting of the $N_c-1$ light valence quarks that create the pion mean field in the large $N_c$ limit. In the limit of the infinitely heavy quark mass, a heavy quark inside a singly heavy baryon is regarded as a mere static color source. It is required only to make the singly heavy baryon a color singlet. Thus, the $N_c-1$ valence quarks govern quark dynamics inside the singly heavy baryon. Within this pion mean field framework, we investigate the twist-2 unpolarized and longitudinally polarized light-quark distribution functions inside charmed and bottom baryons at a low renormalization point. We observe that the light quarks inside a heavy baryon carry less momentum than those inside a nucleon. This feature is more prominent as the heavy quark mass increases. We discuss the baryon sum rule, momentum sum rule, and the Bjorken spin sum rule for singly heavy baryons. We also discuss the inequality conditions for the quark distribution functions. In addition, we present the results for the light-quark quasi-distribution functions.
