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arXiv 1412.5367hep-ph
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广义Parton图中的$ π^- p \rightarrow D^- Λ_{c}^{+} $

$ π^- p \rightarrow D^- Λ_{c}^{+} $ within the Generalized Parton Picture

Stefan Kofler, Peter Kroll, Wolfgang Schweiger

备注：
9 pages, 5 figures
发表信息：
Phys. Rev. D 91, 054027 (2015)
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摘要：

我们研究了广义部分子图中的反应$ π^- p \rightarrow D^- Λ_{c}^{+} $。这个过程是描述了一个手提袋型机制的魅力夸克质量作为硬标度。在前面的工作$\bar{p} p \rightarrow \barΛ^-_c Λ_{c}^{+} $的情况下，我们认为，过程振幅分解成一个微扰可计算的部分子过程$\bar{u} u\rightarrow \bar{c} c$和强子矩阵元素，可以参数化的广义部分子分布。用强子的（价夸克）光锥波函数的重叠来模拟广义部分子分布，得到了非极化微分和积分截面以及自旋可观测量的数值结果.我们的方法在前半球的生产阈值（$s \gtrsim 20 $ GeV $^2$）之上工作良好，并预测了NB量级的非极化横截面，这一发现可能是考虑到计划在J-PARC测量$ π^- p \rightarrow D^- Λ_{c}^{+} $的兴趣。

英文摘要：

We investigate the reaction $ π^- p \rightarrow D^- Λ_{c}^{+} $ within the generalized parton picture. The process is described by a handbag-type mechanism with the charm-quark mass acting as the hard scale. As in the case of preceding work on $\bar{p} p \rightarrow \barΛ^-_c Λ_{c}^{+} $ we argue that the process amplitude factorizes into one for the perturbatively calculable partonic subprocess $\bar{u} u\rightarrow \bar{c} c$ and hadronic matrix elements that can be parameterized in terms of generalized parton distributions. Modeling the generalized parton distributions by overlaps of (valence-quark) light-cone wave functions for the hadrons involved, we obtain numerical results for unpolarized differential and integrated cross sections as well as spin observables. Our approach works well above the production threshold ($s \gtrsim 20 $GeV$^2$) in the forward hemisphere and predicts unpolarized cross sections of the order of nb, a finding that could be of interest in view of plans to measure $ π^- p \rightarrow D^- Λ_{c}^{+} $ at J-PARC.

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