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arXiv 0903.1886hep-phhep-exnucl-ex
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用手征夸克孤子模型计算核子中夸克的横动量分布

Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model

M. Wakamatsu

摘要:

在手征夸克孤子模型的框架下,首次计算了核子中夸克的最简单但最基本的横动量相关分布,即时间反演偶非极化的夸克和反夸克的等幅组合横动量相关分布.在理论框架内对变形的Dirac-海夸克的非微扰解释使我们不仅能对夸克分布而且能对反夸克分布作出可靠的预言。我们发现夸克和反夸克的平均横动量平方$<k_\perp^2>$强烈地依赖于它们的纵向动量分数$x$,这意味着在$x$和$k_\perp$中经常使用的因式分解假设被严重违反.我们还发现,反夸克的平均横动量平方比夸克的大得多,这有点出乎意料。

英文摘要:

We report the first calculation of the simplest but most fundamental transverse momentum dependent (TMD) distribution of quarks in the nucleon, i.e. the time-reversal-even unpolarized TMD quark and antiquark distribution with isoscalar combination, within the framework of the chiral quark soliton model. The nonperturbative account of the deformed Dirac-sea quarks within the theoretical scheme enables us to make a reliable predictions not only for the quark distribution but also for the antiquark distribution. We found that the predicted average transverse momentum square $<k_\perp^2>$ of quarks and antiquarks depends strongly on their longitudinal momentum fraction $x$, which means that the frequently used assumption of factorization in $x$ and $k_\perp$ is significantly violated. It is also found, somewhat unexpectedly, that the average transverse momentum square of antiquarks is considerably larger than that of quarks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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