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arXiv 2202.01192hep-ph
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从超相对论到非相对论极限的大$N_c$夸克模型中核子的二维能量动量张量分布

2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit

Cédric Lorcé, Peter Schweitzer, Kemal Tezgin

摘要:

能量-动量张量(EMT)的形状因子可以基于2D或3D傅立叶变换在能量、应力、线性和角动量的空间分布方面在某些框架中解释。这种解释通常受到“相对论反冲修正”的影响,除非核子以光速运动,例如在无限动量框架中。我们表明,这是可能的,制定一个大的$N_c$限制,其中核子EMT分布的概率解释也持有在其他框架。我们使用袋模型制定的大$N_c$限制作为一个内部一致的夸克模型框架可视化的信息内容与二维EMT分布。为了提供更多的直观性,我们目前的结果在物理情况下,在三个不同的限制:通过考虑重夸克限制,大系统尺寸限制和组分夸克限制。这些极限分布的可视化将有助于解释实验、格点量子色动力学和其他模型或有效理论的结果。

英文摘要:

Form factors of the energy-momentum tensor (EMT) can be interpreted in certain frames in terms of spatial distributions of energy, stress, linear and angular momentum, based on 2D or 3D Fourier transforms. This interpretation is in general subject to "relativistic recoil corrections", except when the nucleon moves at the speed of light like e.g. in the infinite-momentum frame. We show that it is possible to formulate a large-$N_c$ limit in which the probabilistic interpretation of the nucleon EMT distributions holds also in other frames. We use the bag model formulated in the large-$N_c$ limit as an internally consistent quark model framework to visualize the information content associated with the 2D EMT distributions. In order to provide more intuition, we present results in the physical situation and in three different limits: by considering a heavy-quark limit, a large system-size limit and a constituent-quark limit. The visualizations of the distributions in these extreme limits will help to interpret the results from experiments, lattice QCD, and other models or effective theories.

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