论文标题
$ j/ψ$ - $ p $散射长度来自总和差异光增生截面
$J/ψ$-$p$ Scattering Length from the Total and Differential Photoproduction Cross Sections
论文作者
论文摘要
$ j/ψ$ - $ P $散射长度，$α_{J/ψP} $，可以使用向量Meson Dominance（VMD）模型从$ J/ψ$ Photoproduction Cross截面中提取，以将反应$γp\与J/ψP$ to $ j/ψp\ to j/ψp$ j/ψp$ \ to j/ψpp\ to j/ψpp\ to j/ψppp\ to $ j/ψpp$。基于实验数据的此类估计结果导致$ |α_{J/ψP} | $的值，该值远低于大多数理论预测。在这项工作中，我们研究了不同结果之间的关系，具体取决于总横截面或差分横截面的使用，以及在低统计数据样本的情况下，将数据推算为阈值的方法，例如接近阈值$ j/ψ$ photoproduction数据集。我们估计$ |α_{J/ψP} | $ 0.003 $至$ 0.025 $ 〜fm的范围，如VMD模型中的实验数据所述，并讨论了与理论结果相比，此类值较低的可能原因。
The $J/ψ$-$p$ scattering length, $α_{J/ψp}$, can be extracted from the $J/ψ$ photoproduction cross section near threshold using the Vector Meson Dominance (VMD) model to relate the reaction $γp \to J/ψp$ to $J/ψp \to J/ψp$. Such estimates based on experimental data result in values for $|α_{J/ψp}|$, which are much lower than most of the theoretical predictions. In this work, we study the relations between the different results, depending on the use of the total or the differential cross sections, and the method of extrapolating the data to threshold in the case of a low-statistics data sample, such as the near threshold $J/ψ$ photoproduction dataset. We estimate a range for $|α_{J/ψp}|$ of $0.003$ to $0.025$~fm as extracted from experimental data within the VMD model and discuss possible reasons for such lower values compared to the theoretical results.
