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arXiv 1806.10232nucl-th
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从Dyson-Schwinger方程得到π介子和K介子的价夸克分布函数

Pion and kaon valence quark distribution functions from Dyson-Schwinger equations

Chao Shi, Cedric Mezrag, Hong-shi Zong

摘要:

利用基于Dyson-Schwinger方程的夸克传播子和介子Bethe-Salpeter振幅,通过改进的脉冲近似,计算了π介子和K介子的价部分子分布函数(PDF).在强子尺度下得到的PDF具有纯价态特征,同时表现出动力学手征对称性破缺和SU(3)味对称性破缺效应。介绍了一种新的计算方法,可以精确地确定化合价的PDF。通过非线性动力学密度泛函的演化,我们的结果与实验尺度下的π介子和K介子价态PDF数据进行了比较。在π介子的情况下,发现良好的协议,而出现偏差的K介子。我们指出,如果π介子非微扰地拥有比K介子更多的胶子,这种情况可以通过将胶子贡献并入介子来解决。

英文摘要:

Using realistic quark propagators and meson Bethe-Salpeter amplitudes based on the Dyson-Schwinger equations, we calculate the pion and kaon's valence parton distribution functions (PDF) through the modified impulse approximation. The PDFs we obtained at hadronic scale have the purely valence characteristic and exhibit both dynamical chiral symmetry breaking and SU(3) flavor symmetry breaking effects. A new calculation technique is introduced to determine the valence PDFs with precision. Through NLO DGLAP evolution, our result is compared with pion and kaon valence PDF data at experimental scale. Good agreement is found in the case of pion, while deviation emerges for kaon. We point out this situation can be resolved by incorporating gluon contributions into the mesons if the pion hosts more gluons than kaon nonperturbatively.

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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