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arXiv 2408.11298hep-phnucl-th
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迈向核子的第一性原理光前哈密顿量

Towards a first principles light-front Hamiltonian for the nucleon

Siqi Xu, Yiping Liu, Chandan Mondal, Jiangshan Lan, Xingbo Zhao, Yang Li, James P. Vary

AI总结:

本研究首次通过光前量子色动力学哈密顿量的本征态求解核子波函数,无需显式约束势,计算了夸克和胶子密度、螺旋度及横向度分布,与实验定性一致,并评估了它们对质子自旋和张量电荷的贡献,推进了强子分布函数的统一描述。

摘要:

我们首次从光前量子色动力学哈密顿量的本征态求解核子波函数,采用基于光前量子化的完全相对论且非微扰的方法,无需显式约束势。这些本征态针对三夸克、三夸克-胶子和三夸克-夸克-反夸克福克表示确定,使其适用于低分辨率探针。由此,我们计算了核子的夸克和胶子物质密度、螺旋度和横向度分布,这些结果与实验提取值在定性上一致。我们还计算了夸克和胶子螺旋度对质子自旋以及张量电荷的贡献。所获得的光前波函数代表了向纵横向动量空间中各种强子分布函数统一描述迈出的重要一步。

英文摘要:

We solve the nucleon's wave functions from the eigenstates of the light-front quantum chromodynamics Hamiltonian for the first time, using a fully relativistic and nonperturbative approach based on light-front quantization, without an explicit confining potential. These eigenstates are determined for the three-quark, three-quark-gluon, and three-quark-quark-antiquark Fock representations, making them suitable for low-resolution probes. From this, we calculate the nucleon's quark and gluon matter densities, helicity, and transversity distributions, which show qualitative consistency with experimental extractions. We also compute the contributions of quark and gluon helicity to the proton spin and the tensor charges. The obtained light-front wave functions represent a significant advancement towards a unified description of various hadron distribution functions in both longitudinal and transverse momentum space.

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