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arXiv 1008.2684hep-ph
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光锥双夸克模型中核子内部夸克的轨道结构

Orbital structure of quarks inside the nucleon in the light-cone diquark model

Zhun Lu, Ivan Schmidt

摘要:

我们研究了质子内部夸克的轨道角动量结构。利用光锥双夸克模型和重叠表示方法,计算了$q=u$和$d$夸克的零偏斜手征偶广义部分子分布函数$H_q(x,ξ,Δ^2)$、$\widetilde{H}_q(x,ξ,Δ^2)$和$E_q(x,ξ,Δ^2)$.在我们的模型中,$E_u$和$E_d$具有相反的符号和相似的大小。利用这些GPD计算了轨道角动量(OAM)分布,结果表明:$L_u(x)$为正,而$L_d(x)$与$L_u(x)$一致为零.我们介绍了夸克OAM分布的碰撞参数依赖性。它描述了在给定的$x$下夸克轨道角动量的位置空间分布。我们发现,在光锥双夸克模型中,夸克OAM分布与碰撞参数的关系是轴对称的。

英文摘要:

We study the orbital angular momentum structure of the quarks inside the proton. By employing the light-cone diquark model and the overlap representation formalism, we calculate the chiral-even generalized parton distribution functions (GPDs) $H_q(x,ξ,Δ^2)$, $\widetilde{H}_q(x,ξ,Δ^2)$ and $E_q(x,ξ,Δ^2)$ at zero skewedness for $q=u$ and $d$ quarks. In our model $E_u$ and $E_d$ have opposite sign with similar size. Those GPDs are applied to calculate the orbital angular momentum (OAM) distributions, showing that $L_u(x)$ is positive, while $L_d(x)$ is consistent with zero compared with $L_u(x)$. We introduce the impact parameter dependence of the quark OAM distribution. It describes the position space distribution of the quark orbital angular momentum at given $x$. We found that the impact parameter dependence of the quark OAM distribution is axially symmetric in the light-cone diquark model.

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