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研究生:黃峻祿
論文名稱:Feasibility study of measuring exclusive Drell-Yan πN → γ*N process at J-PARC
論文名稱(外文):Feasibility study of measuring exclusive Drell-Yan πN → γ*N process at J-PARC
指導教授:郭榮升章文箴
學位類別:碩士
校院名稱:國立高雄師範大學
系所名稱:物理學系
學門:自然科學學門
學類:物理學類
論文種類:學術論文
論文出版年:2015
畢業學年度:103
語文別:英文
論文頁數:35
中文關鍵詞:GPDexclusive Drell Yan processJPARC
外文關鍵詞:GPDexclusive Drell Yan processJPARC
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Drell-Yan反應過程是一個探索原子核結構的重要方式。這個反應過程通常是inclusive 的過程,其末狀態是一對輕子對 (lepton pair),剩餘的粒子是未知的。近幾年來,藉由exclusive Drell-Yan 反應過程取得 generalized parton distribution (GPD) 的方法逐漸被提出,這樣的方法可以補足使用輕子束的deeply virtual Compton Scattering。使用動量10-20 GeV/c的 π介子束的exclusive Drell-Yan反應過程,其反應截面 (cross section) 已經被定義。在這篇論文中,我們提出在J-PARC不久的將來所提供動量為10-20 GeV/c的 π介子束測量exclusive Drell-Yan反應過程的可能性。
The Drell-Yan process is an important experimental way to explore the partonic structure of nucleons. Usually,
it is an inclusive process where the final state is fully identified except for a lepton pair. Recently, accessing
the generalized parton distribution (GPD) from the hard exclusive Drell-Yan process (πN → γ ∗ N) is proposed,
complementary to the deeply virtual Compton Scattering (DVCS) process using lepton beam. It is found that the
optimized pion beam momentum for the exclusive Drell-Yan process is 10 - 20 GeV/c in terms of its production cross
sections. In this work, we address the feasibility study of the exclusive Drell-Yan process at the high-momentum
beam line of J-PARC where high-intensity 10 - 20 GeV pion beam will be available in near future.
content
1 Introduction 1
2 Differential Cross Sections of Exclusive Drell-Yan process and GPD . . 5
2.1 Exclusive Drell-Yan (eDY) process: an analog time-like process as DVMP . . 7
2.2 Formalism of the cross section of the eDY with GPD and pion DA . . 9
2.3 GPD modeling: Diehl’s, Vinnikov’s, and Kroll’s GPD ’s properties . . 11
2.4 The differential cross sections with different GPD . . 18
3 Simulation Results of Measurement in E-50 Spectrometer at J-PARC . . 21
3.1 High-momentum beamline and E-50 Spectrometer at J-PARC . . 22
3.2 Event generator of dimuon events (eDY, iDY and B.G.) . . 24
3.3 Simulation of the missing mass spectrum in E-50 . . 26
3.4 Statistic sensitivity of production cross sections of eDY . . . . . . . . 30
4 Conclusion 32
Reference 33
Appendix 35
Introduction to PYTHIA . . 35
Introduction to JAM . . . 35

list of figures
1 the structure within the atom . . 2
2 quark properties . . 2
3 Feynman diagrams for the DVCS. This figure is from Ref.[10] . . 5
4 The four GPDs H, E,˜H, ˜E with quarks helicity and nucleon spin. This figure is from Ref.[10] . . 6
5 Feynman diagrams for Drell-Yan process (a) and exclusive Drell-Yan process (b) . . 7
6 The parton interpretation of GPDs in the three x-intervals. Figure from [9] . . 8
7 two dimensinal GPDs by Pire . . 14
8 one dimensional GPDs with skewness dependence . . 15
9 two dimensinal GPDs by Vinnikov . . 16
10 two dimensinal GPDs by Kroll . . 17
11 The eDY differential cross section depending on |t| and τ using Diehl’s GPD. Seperate contributions are shown for the terms with |˜H|2(1 st term), Re|˜H ˜ E| (2 nd term) and | ˜ E|2 (3 rd term) . . 19
12 The eDY differential cross sections depending on |t| and τ. . . 20
13 the eDY differential cross sections with GPD evolution . . 20
14 Beam line layout in J-PARC . . 22
15 E-50 spectrometer . . 23
16 J-PARC high-momentum beam line . . 23
17 exclusive Drell-Yan process in the virtual photon rest frame, center mass frame and lab frame . . 24
18 dimuon and single muon momentum distribution . . 29
19 missing mass spectrum distribution . . 30

list of tables
Table 1: parameters used for the GPD H. Evolution is parametrized through the variable L =ln(Q 2 /Q 2
0 ) with Q2 = 4GeV2 .....17
Table 2: exclusive Drell-Yan total cross section with different π − beam momentum......28
Table 3: inclusive Drell-Yan and background total cross section with different π − beam momentum......28
Table 4: N events with different π beam momentum in 50 days......29
[1] E. R. Berger, M. Diehl and B. Pire, Phys. Lett. B 523, 265 (2001);
[2] E. R. Berger, M. Diehl and B. Pire, Eur. Phys. J. B 23, 675 (2001);
[3] T. Gehrmann and W. J. Stirling, Phys. Rev. D 53, 11 (1996);
[4] P. Kroll, H. Moutarde and F. Sabatie, Eur. Phys. J. B 73, 2278 (2013);
[5] S.V. Goloskokov and P. Kroll, Eur. Phys. J. B 65, 137 (2010). arXiv: 0906.0460
[hep-ph];
[6] M. Diehl and P. Kroll, Eur. Phys. J. B 73, 2397 (2013);
[7] A.V. Vinnikov, arXiv:hep-ph/0604248v1 (2006);
[8] D.F.Geesaman and T. Chang, 16 Feb 1998
[9] Samuel Wallon, arXiv: 1302.2888 (2013);
[10] M. Guidal, H. Moutarde and M. Vanderhaeghen, Rep. Prog. Phys. 76, 066202
(2013);
[11] E-50 proposal;
32
[12] Introduction to PYTHIA; from
http://home.thep.lu.se/ torbjorn/Pythia.html.
[13] JAM Home Page; from
http://quark.phy.bnl.gov/ ynara/jam/.
[14] Introduction to Geant4; from
http://geant4.web.cern.ch/geant4/UserDocumentation/Welcome/IntroductionToGeant4/html/introductionToGeant4.html .
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