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arXiv 2609.16654hep-phnucl-th

用小$x$价夸克模型约束质子自旋

Constraining Proton Spin at Small $x$ with Valence Quark Model

Yossathorn Tawabutr, Daniel Adamiak, Heikki Mäntysaari

AI总结:

本文利用价夸克模型结合螺旋度演化方程,通过全局分析极化DIS数据,以更少参数显著降低质子自旋预测不确定性,并发现小x处正胶子hPDF与负g1结构函数。

AI中文摘要:

最近,一项全局分析针对极化深度非弹性散射(DIS)过程中的纵向自旋不对称性展开,将极化价夸克模型与大$N_c \& N_f$螺旋度演化方程相结合。与先前基于玻恩近似的传统中等$x$模型分析相比,价夸克模型将自由参数数量减少了三倍,并使得质子内总部分子自旋的预测不确定性降低了六倍。基于价夸克模型的拟合预测在小$x$处存在正的胶子螺旋度部分子分布函数(hPDF)和负的$g_1$结构函数。然而,拟合中$\u03c7^2$统计量的增加值得进一步审视价夸克模型的物理不确定性,相关工作正在进行中。本文末尾还总结了其他可能的未来研究方向。

英文摘要:

Recently, a global analysis has been performed for longitudinal spin asymmetries in polarized deep inelastic scattering (DIS) processes, combining the polarized valence quark model with the large-$N_c \& N_f$ helicity evolution equations. With a three-fold reduction in the number of free parameters, the valence quark model results in a six-fold reduction of uncertainty for the resulting prediction of total parton spin inside the proton, when compared to previous analysis performed with traditional moderate-$x$ model inspired by Born approximation. The fit based on valence quark model predicts a positive gluon hPDF and negative $g_1$ structure function at small $x$. However, the resulting increase in the $χ^2$-statistic of the fit warrants further examination into the physical uncertainty of the valence quark model, which is a work in progress. We also summarize other possibilities of future research directions towards the end of this article.

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