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arXiv 0811.1812hep-ph
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$Σ$和$Λ$的分布幅度及其电磁形状因子

Distribution amplitudes of $Σ$ and $Λ$ and their electromagnetic form factors

Yong-Lu Liu, Ming-Qiu Huang

摘要:

基于QCD共形分波展开到首阶共形自旋精度,我们给出了旋度为6的$Σ$和$Λ$重子的光锥分布振幅。结果表明,在小横距下,重子的价三夸克态需要14个n相关的DA来描述.在QCD求和规则的框架内确定了与DAs有关的非微扰参数。利用所得到的分布,对这些重子的电磁形状因子进行了简单的研究。用磁形状因子与偶极公式拟合,估算了重子的磁矩。

英文摘要:

Based on QCD conformal partial wave expansion to leading order conformal spin accuracy, we present the light-cone distribution amplitudes (DAs) of $Σ$ and $Λ$ baryons up to twist 6. It is concluded that fourteen ndependent DAs are needed to describe the valence three-quark states of the baryons at small transverse separations. The nonperturbative parameters relevant to the DAs are determined within the framework of QCD sum rule method. With the obtained DAs, a simple investigation on the electromagnetic form factors of these baryons are given. The magnetic moments of the baryons are estimated by fitting the magnetic form factor with the dipole formula.

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