论文标题
电荷对称性破坏对锥子和kaon中的Gluon和Sea Quark分布的影响
Impact of Charge Symmetry Breaking on Gluon and Sea Quark Distributions in the Pion and Kaon
论文作者
论文摘要
In this exploratory study, I present, for the first time, the implications of the charge symmetry breaking (CSB) that arise from the $u$ and $d$ quark mass differences on gluon and sea quark distribution functions of the pion and kaon in the framework of the Nambu--Jona-Lasino (NJL) model, which is a quark-level chiral effective theory of QCD, with the help of the proper-time regularization scheme to模拟QCD的颜色限制。从分析中，人们发现，PION的电荷对称性（CS）GluON分布与从最近的晶格QCD模拟和JAM Global Fit QCD分析获得的预测结果达成了良好的一致性，其较高级别为$ q^2 = $ 5 GEV $^$^2 $。 CSB对Pion Gluon和Sea Quark分布的影响的大小分别为$ m_u/m_d = 0.5 $ at $ q^2 = $ 5 gev $^2 $估计为1.3 \％\％\％\％和2.0 \％，$ x \ simeq 1 $相比，与$ m_u/m_d = 1.0相比，$ x \ simeq 1 $相比分别为$ x \ simeq 1 $ 0.5 \％。发现CSB对KAON的GLUON分布的影响小于PION的CSB影响，该影响的预测结果与CS情况相似。
In this exploratory study, I present, for the first time, the implications of the charge symmetry breaking (CSB) that arise from the $u$ and $d$ quark mass differences on gluon and sea quark distribution functions of the pion and kaon in the framework of the Nambu--Jona-Lasino (NJL) model, which is a quark-level chiral effective theory of QCD, with the help of the proper-time regularization scheme to simulate color confinement of QCD. From the analysis, one finds that the charge symmetry (CS) gluon distribution for the pion has a good agreement with the prediction results obtained from the recent lattice QCD simulation and JAM global fit QCD analysis at a higher scale of $Q^2 =$ 5 GeV$^2$. The size of the CSB effects on gluon and sea quark distributions for the pion with the realistic ratios of $m_u/m_d = 0.5$ at $Q^2 =$ 5 GeV$^2$ are respectively estimated by 1.3\% and 2.0\% at $x \simeq 1$ in comparison with those for $m_u/m_d = 1.0$, while those for the kaon are approximately about 0.3\% and 0.5\% at $ x \simeq 1$, respectively. A remarkable result is found that the CSB effects on gluon distribution for the kaon are smaller than that for the pion, which has a similar prediction result as that for the CS case.
