论文标题

对矢量介子光前波函数的相对论校正

Relativistic corrections to the vector meson light front wave function

论文作者

Lappi, Tuomas, Mäntysaari, Heikki, Penttala, Jani

论文摘要

我们根据非相对论QCD框架中的衰减宽度分析约束的长距离矩阵元素来计算重型媒介中的光前波函数。我们的方法在夸克速度中提供了波动函数的系统扩展。我们的计算中包括的第一个相对论校正很重要,对于对HERA独家$ \ mathrm {j}/ψ$生产数据的良好描述至关重要。当查看核和质子目标之间的横截面比率时,波函数依赖性并不能准确取消。特别是,即使在此比率下,完全非相关的极限也不是可靠的近似值。说明了Melosh旋转以表达在光正面上表达剩余框架波函数的重要作用。

We compute a light front wave function for heavy vector mesons based on long distance matrix elements constrained by decay width analyses in the Non Relativistic QCD framework. Our approach provides a systematic expansion of the wave function in quark velocity. The first relativistic correction included in our calculation is found to be significant, and crucial for a good description of the HERA exclusive $\mathrm{J}/ψ$ production data. When looking at cross section ratios between nuclear and proton targets, the wave function dependence does not cancel out exactly. In particular the fully non-relativistic limit is found not to be a reliable approximation even in this ratio. The important role of the Melosh rotation to express the rest frame wave function on the light front is illustrated.

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