论文标题

$π$和$ k $介子的重力形式因子在QCD总规则中

Gravitational form-factors of the $ π$ and $ K $ mesons in QCD sum rules

论文作者

Aliev, T. M., Şimşek, K.

论文摘要

仅考虑到能量量张量的夸克部分,使用这些伪尺度介子的分布振幅在轻单键规则法中计算了$π$和$ k $介子的重力形式因子。获得相关表单因子的$ q^2 $依赖性。此外,计算了$π$和$ k $介子的均方根质量半径,我们发现$ \ sqrt {\ langler_π^2 \ rangle} = 0.31 {\ rm \ fm \ fm \ fm} $和$ \ sqrt {\ sqrt { FM} $。我们将重力形式因子的结果与现有文献结果进行比较。我们获得$ \ sqrt {\ langler_π^2 \ rangle} $的结果与NJL模型,ADS/QCD模型以及其他模型以及现有的实验数据的预测非常吻合。

Taking into account only the quark part of the energy-momentum tensor, the gravitational form-factors of the $ π$ and $ K $ mesons are calculated within the light-cone sum rules method using the distribution amplitudes of these pseudoscalar mesons. The $ Q^2 $-dependence of the relevant form-factors are obtained. Moreover, the mean square mass radii of $ π$ and $ K $ mesons are calculated and we find that $ \sqrt{\langle r_π^2 \rangle} = 0.31 {\rm\ fm} $ and $ \sqrt{\langle r_{K}^2 \rangle} = 0.24 {\rm\ fm} $, respectively. We compare our results for gravitational form-factors with the existing literature results. We obtain that our results on $ \sqrt{\langle r_π^2 \rangle} $ are in good agreement with the predictions of NJL model, AdS/QCD model, and other models as well as with the existing experimental data.

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