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arXiv 1004.3075nucl-thhep-ph
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NJL-jet模型的K介子碎裂函数

Kaon fragmentation function from NJL-jet model

Hrayr H. Matevosyan, Anthony W. Thomas, Wolfgang Bentz

摘要:

NJL喷流模型为有效手征夸克理论中计算碎裂函数提供了一个合理的框架,其中动量和同位旋和规则在没有引入特设参数的情况下得到满足[1]。在此框架内,使用Nambu-Jona-Lasinio(NJL)模型对π介子碎裂函数的早期研究表明,与经验参数化的定性一致。在这里,我们扩展了NJL喷流模型,包括奇怪的夸克。用NJL的基本夸克-夸克-介子碎裂函数计算了π介子碎裂函数和相应的K介子碎裂函数的修正。结果的K介子碎裂函数表现出定性的协议与经验参数化,而不利的奇夸克分裂为π介子被证明是相同的数量级的不利轻夸克的。预计这些研究的结果将为分析大量半包容性数据提供重要指导。

英文摘要:

The NJL-jet model provides a sound framework for calculating the fragmentation func- tions in an effective chiral quark theory, where the momentum and isospin sum rules are satisfied without the introduction of ad hoc parameters [1]. Earlier studies of the pion fragmentation func- tions using the Nambu-Jona-Lasinio (NJL) model within this framework showed good qualitative agreement with the empirical parameterizations. Here we extend the NJL-jet model by including the strange quark. The corrections to the pion fragmentation function and corresponding kaon fragmen- tation functions are calculated using the elementary quark to quark-meson fragmentation functions from NJL. The results for the kaon fragmentation function exhibit a qualitative agreement with the empirical parameterizations, while the unfavored strange quark fragmentation to pions is shown to be of the same order of magnitude as the unfavored light quark's. The results of these studies are expected to provide important guidance for the analysis of a large variety of semi-inclusive data.

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