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arXiv 2007.05678hep-ph
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Nambu-Jona-Lasinio模型中的粲碎裂函数

Charm fragmentation functions in the Nambu-Jona-Lasinio model

Dong-Jing Yang, Hsiang-nan Li

摘要:

在Nambu-Jona-Lasinio(NJL)模型中,我们导出了描述粲夸克发射具有一定动量分数的$D$介子几率的碎裂函数(FF).相应的基元FF是用含粲夸克的NJL模型中确定的夸克-介子耦合来计算的。无限动量系中的基本FF是通过基本FF支配的喷流过程构造的,然后演化到定义它的魅力尺度。为了制备适合于分析CLEO中$D$介子产生的FF,我们进一步将上述FF与QCD中一圈有限动量框架下的FF进行匹配。结果表明,考虑有限动量效应的粲夸克FF的理论结果与CLEO数据一致。

英文摘要:

We derive the fragmentation function (FF), which describes the probability for a charm quark to emit a $D$ meson with a certain momentum fraction, in the Nambu-Jona-Lasinio (NJL) model. The corresponding elementary FF is calculated with the quark-meson coupling determined in the NJL model involving charm quarks. The FF in the infinite momentum frame is constructed through the jet process governed by the elementary FF, and then evolved to the charm scale, at which it is defined. To prepare the FF suitable for an analysis of $D$ meson production at CLEO, we further match the above FF to that in the finite momentum frame at one loop in QCD. It is shown that the charm quark FF including the finite momentum effects leads to theoretical results in agreement with the CLEO data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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