论文标题
Nambu-Jona-Lasinio模型中的魅力片段化功能
Charm fragmentation functions in the Nambu-Jona-Lasinio model
论文作者
论文摘要
我们得出了片段化函数（FF），该功能描述了魅力夸克在Nambu-Jona-Lasinio（NJL）模型中以一定动量分数发射$ d $ Meson的概率。通过在涉及魅力夸克的NJL模型中确定的夸克 - 中子耦合来计算相应的基本FF。无限动量框架中的FF是通过基本FF控制的喷射过程构建的，然后演变为定义的魅力量表。为了准备适合于CLEO的$ D $ MESON生产的FF，我们将上述FF与QCD的一个循环中的有限动量框架相匹配。结果表明，包括有限动量效应的魅力夸克FF导致与CLEO数据一致的理论结果。
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.
