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arXiv 2006.02830hep-phnucl-th
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矢量介子光前波函数的相对论修正

Relativistic corrections to the vector meson light front wave function

Tuomas Lappi, Heikki Mäntysaari, Jani Penttala

AI总结:

该研究基于NRQCD框架下经衰变宽度约束的长程矩阵元计算重矢量介子光前波函数,发现首阶相对论修正对描述HERA的J/ψ产生数据关键,且核靶与质子靶截面比值中波函数依赖未完全抵消,同时阐明了Melosh旋转的重要作用。

摘要:

我们基于非相对论量子色动力学(Non Relativistic QCD,NRQCD)框架中经衰变宽度分析约束的长程矩阵元,计算了重矢量介子的光前波函数。我们的方法提供了波函数按夸克速度展开的系统展开式。研究发现,我们计算中纳入的首阶相对论修正效应显著,对良好描述HERA的单举$\text{J}/ψ$产生数据至关重要。在考察核靶与质子靶的截面比值时,波函数的依赖关系并未完全抵消。尤其是完全非相对论极限即便在该比值情形下也并非可靠近似。本文阐明了Melosh旋转在将静止系波函数表示为光前形式方面的重要作用。

英文摘要:

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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