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味混合对带电K介子和π介子部分子分布函数的影响

Effects of flavor-mixings on charged kaon and pion parton distribution functions

Fabio L. Braghin, Parada T. P. Hutauruk

arXiv 2607.23497首次发表:更新:

发表机构

Federal University of Goiás; Hiroshima University(戈亚斯联邦大学; 广岛大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究在U(3) NJL模型中味混合对带电K介子和π介子部分子分布函数的影响,采用固有时正则化方案,计算相关物理量,对比实验数据,发现味混合影响强度与夸克有效质量有关,且在不同尺度下有相似影响并改善了分布函数。

AI 中文摘要

我们在U(3) 南布-乔纳-拉西尼奥(NJL)模型中研究带电K介子和π介子的部分子分布函数(PDFs),考虑一种源于真空极化的新型味混合相互作用,它不同于瞬子诱导的't~霍夫特相互作用。采用了固有时正则化方案,有效考虑了夸克禁闭。计算了味混合相互作用下的能隙方程、介子质量和介子-夸克耦合常数。计算了带电K介子和π介子的价夸克分布,并与现有实验数据和在μ² = 4和27 GeV²尺度下的JAM分析结果进行比较。发现味混合对PDFs的影响强度与夸克有效质量及其差值成正比。还发现,在μ² = 27和4 GeV²尺度下,π介子价上夸克分布中味混合的主要影响在x≈0.3和x≈0.8附近,而对于K介子,影响出现在x≈0.2和x≈0.7附近。在μ² = 4和27 GeV²尺度下,味混合对PDFs的影响强度相似,且确实改善了π介子和K介子的PDFs。

英文摘要

We investigate the charged kaon and pion parton distribution functions (PDFs) in the U(3) Nambu--Jona-Lasinio model, considering a novel flavor-mixing interaction arising from vacuum polarization that differs from the instanton-induced 't~Hooft interaction. In this work, the proper-time regularization scheme is employed, and, effectively, it might take quark confinement into account. The gap equations, the meson masses, and the meson--quark coupling constants are calculated in the presence of flavor-mixing interactions. The valence-quark distributions of the charged kaon and pion are calculated and compared with existing experimental data and Jefferson Lab Angular Momentum analysis results at scales $μ^{2} =$ 4 and 27 GeV$^{2}$. The strength of mixing effects on the PDFs is found to be proportional to the quark effective masses and their differences. We further find that the dominant flavor mixing effects in the pion valence up-quark distribution at scales $μ^{2} =$ 27 and 4 GeV$^2$ are around $x \simeq 0.3$ and $x \simeq 0.8$, while for the kaon, the effects are shown at around $x \simeq 0.2$ and $x \simeq 0.7$. We also find similar strength of mixing effects on the PDFs at both scales $μ^{2} =4$ and 27 GeV$^{2}$; however, it certainly improves the pion and kaon PDFs.

Comments13 pages, 9 figures, and 2 tables

Journal refPhys. Rev. D 114, 054046 (2026)

DOI:10.1103/2xjj-bfcf

论文原文

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