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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：99  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.

    Acknowledgements i Abstract ii 1 Introduction 1 2 Parton Fragmentation Functions 6 2.1 Definition of Fragmentation Functions 6 2.2 The jet algorithm 16 2.3 The cross section of e+e- annihilation 22 2.4 The QCD evolution 24 3 Models 30 3.1 The Nambu Jona-Lasinio model 30 3.2 The nonlocal chiral-quark model 33 4 Method of the calculations 39 4.1 The iteration method 39 4.2 The inverse matrix method 40 4.3 The Monte Carlo method 42 4.4 For other types of FFs 44 5 Results and discussion 47 5.1 The unpolarized integrated FFs D_q^h (z) 47 5.2 The transverse-momentum dependent FFs D_q^h (z, P_⊥^2) 55 5.3 The dihadron FFs D_q^{h_1 h_2} (z_1, z_2) 60 5.4 Further research 65 6 Conclusion 71 Bibliography 73

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