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arXiv 2207.03378hep-ph
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核子胶子广义部分子分布Eg的小x演化

Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon

Yoshitaka Hatta, Jian Zhou

摘要:

研究了核子胶子广义部分子分布(GPD)$E_g$的小- $x$演化方程.结果表明,$E_g$在偏度消失时表现出与BFKL波密子相同的Regge行为,尽管它与核子螺旋翻转过程有关。我们还考虑了胶子饱和的影响,并证明了$E_g$以与其螺旋非翻转对应物$H_g$相同的方式饱和。我们的结果对$E_g$模型以及小$x$对核子自旋和规则的贡献有直接的影响。

英文摘要:

We study the small-$x$ evolution equation for the gluon generalized parton distribution (GPD) $E_g$ of the nucleon. It is shown that $E_g$ at vanishing skewness exhibits the Regge behavior identical to the BFKL Pomeron, despite its association with nucleon helicity-flip processes. We also consider the effect of gluon saturation and demonstrate that $E_g$ gets saturated in the same way as its helicity-nonflip counterpart $H_g$. Our result has a direct impact on the modeling of $E_g$ as well as the small-$x$ contribution to nucleon spin sum rules.

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