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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38571
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陳俊瑋(Jiunn-Wei Chen)
dc.contributor.authorHUNG-MING TSAIen
dc.contributor.author蔡竑名zh_TW
dc.date.accessioned2021-06-13T16:37:46Z-
dc.date.available2005-07-07
dc.date.copyright2005-07-07
dc.date.issued2005
dc.date.submitted2005-07-06
dc.identifier.citation[1] M. Neubert, arXiv:hep-ph/0012204.
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606, 245 (2001) [arXiv:hep-ph/0104110].
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/38571-
dc.description.abstract我們發現在部份子物理中的模型無關之結果. 利用手徵微擾法, 我們推導出twist-3的光錐分布振幅的moments的解析修正項. 我們發現pion, kaon 和 eta 粒子的光錐分布振幅的moments具有一些關係式. 另外, 我們也推導出部份子分布函數的moments的非解析和解析修正項. 也發現pion, kaon 和 eta 粒子在味單態的奇數moments具有一關係式. 經由此關係式, 希望未來能夠從pion和kaon的部份子分布函數的實驗值, 來計算出eta的部份子分布函數.zh_TW
dc.description.abstractIn this thesis, we find out model-independent results for SU(3) violation in higher twist light-cone distribution amplitudes as well as in parton distribution functions. In these results, analytic corrections to moments of twist-3 light-cone distribution amplitudes are obtained while non-analytic corrections don't affect the shape and only contribute to the pre-factor. Some relations among moments of light-cone distribution amplitudes of pion, kaon and eta are worked out. Non-analytic and analytic corrections to the moments of parton distribution functions are derived. Besides, the relation among favor-singlet odd moments of parton distribution functions of pion, kaon and eta is also found out. It is hopeful that the eta parton distribution function is possible to be derived if experimental values of pion and kaon parton distribution functions are both obtained.en
dc.description.provenanceMade available in DSpace on 2021-06-13T16:37:46Z (GMT). No. of bitstreams: 1
ntu-94-R91222016-1.pdf: 416388 bytes, checksum: c6749f51b35bb1a4c60e18490f171294 (MD5)
Previous issue date: 2005
en
dc.description.tableofcontents1 General Outlooks and Motivations 3
1.1 General Viewpoints and Main Purposes 3
1.1.1 QCD Hard Exclusive and Inclusive Processes 3
1.1.2 Main Purposes of This Thesis 4
1.2 Distribution Amplitudes in Exclusive Processes 4
1.2.1 Factorization in Exclusive Processes4
1.2.2 Higher Twist Effects in Consideration 5
1.3 Parton Distribution Function in Inclusive Processes 5
2 Model Independent Results for SU(3) Violation in Higher-Twist Light-Cone Distribution Amplitudes 6
2.1 Introduction 6
2.1.1 De‾nition of Light-Cone Distribution Amplitudes 6
2.1.2 The Twist-2 Results in a Previous Work 7
2.1.3 A Brief Introduction to Our Twist-3 Results 8
2.2 Model Independent Results Related to the Twist-3 Pseudoscalar Operator 8
2.2.1 The Quark-Level Pseudoscalar Twist-3 Operator 8
2.2.2 Construction of the Hadron-Level Operators 9
2.2.3 The Next-to-Leading-Order Operators 10
2.2.4 Non-analytic Corrections to the Pre-factor 12
2.2.5 The Relations Among Moments 15
2.2.6 Relations Among Light-Cone Distribution Amplitudes 15
2.2.7 Relations Among the Gegenbauer Moments 15
2.2.8 Relations Among the Inverse Moments 16
2.3 Model Independent Results Related to the Pseudotensor Twist-3 Operator 16
2.3.1 The Quark-Level Pseudotensor Twist-3 Operator 16
2.3.2 Construction of Hadronic Operators 17
2.3.3 Corrections to the Pre-factor 19
2.3.4 Relations Among Moments 21
2.3.5 Relations Among Light-Cone Distribution Amplitudes 21
2.3.6 Relations Among the Gegenbauer Moments 21
2.3.7 Relations Among the Inverse Moments 22
2.4 Conclusion and Discussion 22
3 Model Independent Results for SU(3) Violation in Parton Distribution Functions 23
3.1 Introduction 23
3.2 The Twist-2 Operator 24
3.2.1 The Quark-Level Twist-2 Operator 24
3.2.2 Construction of the Hadronic Operators 24
3.3 Non-analytic Contributions to Moments 26
3.3.1 Non-analytic Contributions to the Odd Moments When Lambda= I 27
3.3.2 Non-analytic Contributions to the Even Moments When Lambda= I 28
3.3.3 Non-analytic Contributions to the Odd Moments When Lambda=lambda^3 28
3.3.4 Non-analytic Contributions to the Even Moments When
Lambda=lambda^3 30
3.3.5 Non-analytic Contributions to the Odd Moments When Lambda=lambda^8 31
3.3.6 Non-analytic Contributions to the Even Moments When
Lambda=lambda^8 32
3.4 The Results for the Moments 33
3.4.1 Flavor-Singlet Moments (when Lambda= I) 33
3.4.2 Flavor-Non-singlet Moments in Lambda=lambda^3 Case 34
3.4.3 Flavor-Non-singlet Moments in Lambda =lambda^8 Case 35
3.5 Discussion and Conclusion 36
A Comparison of the Chiral Logarithms 38
B The Charge Conjugation of the Hadronic Operators 41
dc.language.isoen
dc.subject手徵微擾法zh_TW
dc.subject光錐分布振幅zh_TW
dc.subject高扭zh_TW
dc.subject手徵外差法zh_TW
dc.subject部份子分布函數zh_TW
dc.subjectmomenten
dc.subjectchiral perturbation theoryen
dc.subjectlight-cone distribution amplitudeen
dc.subjecttwist-3en
dc.subjectchiral extrapolationen
dc.subjectparton distribution functionen
dc.title部份子物理中的高扭效應zh_TW
dc.titleHigher Twist Effects in Parton Physicsen
dc.typeThesis
dc.date.schoolyear93-2
dc.description.degree碩士
dc.contributor.oralexamcommittee趙挺偉(Ting-Wai Chiu),李湘楠(Hsiang-nan Li)
dc.subject.keyword手徵微擾法,光錐分布振幅,高扭,手徵外差法,部份子分布函數,zh_TW
dc.subject.keywordchiral perturbation theory,light-cone distribution amplitude,twist-3,chiral extrapolation,parton distribution function,moment,en
dc.relation.page45
dc.rights.note有償授權
dc.date.accepted2005-07-06
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理研究所zh_TW
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