研究生: |
楊東憬 Yang, Dong-Jing |
---|---|
論文名稱: |
QUARK AND GLUON FRAGMENTATION FUNCTIONS IN MODEL CALCULATIONS 夸克與膠子破碎函數的模型計算 |
指導教授: |
江府峻
Jiang, Fu-Jiun |
學位類別: |
博士 Doctor |
系所名稱: |
物理學系 Department of Physics |
論文出版年: | 2019 |
畢業學年度: | 107 |
語文別: | 英文 |
論文頁數: | 79 |
中文關鍵詞: | Quark fragmentation functions 、Gluon fragmentation functions 、Jet 、Hadronization 、NJL model 、Nonlocal chiral quark model |
英文關鍵詞: | Quark fragmentation functions, Gluon fragmentation functions, Jet, Hadronization, NJL model, Nonlocal chiral quark model |
DOI URL: | http://doi.org/10.6345/NTNU201900509 |
論文種類: | 學術論文 |
相關次數: | 點閱:94 下載:9 |
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In this thesis we will introduce the flow of model calculations for parton fragmentation functions. The parton fragmentation functions have many types. Such as transverse-momentum dependent or integrated ones. People can start from the definition of operator and Fierz identity. Because the degree of freedom and there are many produced hadrons in the final state, the jet algorithm is a good choice to describe such process. In the jet algorithm, the whole hadronization is divided into steps. The processes associated with one step emission are called elementary fragmentation functions and can be calculated with effective models. The currently used models are the Nambu–Jona-Lasinio (NJL) model and the nonlocal chiral quark model (NLChQM). Both two models can explain a lot of low energy physics. With elementary fragmentation functions, we can obtain fragmentation functions of entire hadronization processes by computing the corresponding integral equations. Three methods are provided to handle with integral equations. We present our results of model calculations. Some overcomes from other papers are not correct. We points these out and show the correct results. To compare with the cross section of $e^+e^-$ annihilation, we also evolve the results to a higher energy scale using QCD evolution.
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