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研究生: 黃偉智
Wei-Chih Huang
論文名稱: 共振弦
String Resonaces
指導教授: 張敬民
Kingman Cheung
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2005
畢業學年度: 93
語文別: 英文
論文頁數: 23
中文關鍵詞: 共振弦
外文關鍵詞: String Resonances
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  • 透過開弦散射公式我們計算夸克與交子的震幅,以及計算高能量的質子與質子的碰撞截面積。藉著使用狹窄寬度近似,我們找到一個聯加的規則可以計算衰變率與截面積。我們顯示了在高能量時,共振弦的效應會主宰。在強子對撞機中,藉由能量譜與角度分佈情況,我們可以檢查此模行的正確性。


    We calculate 2->2 amplitudes for quark-antiquark as well as gluon-gluon collisions by means of the open-string scattering formula and evaluate the high energy proton-proton scattering cross section via string state excitations
    in the TeV string-scale scenario. By using the narrow-width approximation we find a sum rule for the decay rate of the string resonances with different spins at each mass level. We show that string resonance contributions can dominate in the high energy region. At the LHC, we can test the model by
    searching for the string resonances with the spectrum n^(0.5)Ms and by searching the angular distribution of the lepton pair in Drell-Yan production.

    1 Introduction 1 2 The open-string amplitude 4 3 Total cross sections through string resonances and partial width approximation 8 3.1 Calculation of the decay wididth . . . . . . . . . . . . . . . . . . 9 3.2 Calculation of cross sections . . . . . . . . . . . . . . . . . . . 10 4 Di®erential cross section 13 4.1 Lepton pair production . . . . . . . . . . . . . . . . . . . . . . 13 4.2 Wigner function expansion . . . . . . . . . . . . . . . . . . . . 15 4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4-3-A. Resonance signal . . . . . . . . . . . . . . . . . . . . . 17 4-3-B. The Angular Dependence . . . . . . . . . . . . . . . . 18 5 Summary And Conclusions 20 References 22

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