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研究生： 蔡典學
Tsai, Tien-Hsueh
論文名稱： 魅重子的三體弱衰變研究
Study of charm baryon three-body weak decays
指導教授： 耿朝強
Geng, Chao-Qiang
口試委員: 何小剛
He, Xiao-Gang
張敬民
Cheung, Kingman
張維甫
Chang, We-Fu
栗崇中
Lih, Chung Chong
學位類別： 博士
Doctor
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2022
畢業學年度： 110
語文別： 英文
論文頁數： 45
中文關鍵詞： 標準模型 、魅重子 、弱衰變 、味對稱 、光前夸克模型
外文關鍵詞： Standard Model, Charm baryon, weak decay, flavor symmetry, light-front quark model
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    • 我們系統性的分析了兩種不同類型的反三重態魅重子三體弱衰變，第一種為半輕子弱衰變至八重態重子，第二種為無輕子弱衰變至八重態重子與兩個贗純量八重態介子。 我們使用 SU(3)F 味對稱方法分析了這兩種不同衰變途徑並使用光前夸克模型計算了半輕子衰變的重子-重子躍遷形狀因子。我們給出了對於這兩種衰變途徑的預測並與其他模型所做出的預測以及實驗測量數據進行比較。

    We systematically analyze two types of the three-body weak decay processes of anti-triplet charmed baryons Bc=(Ξc0,-Ξc+, Λc). The first type is semi-leptonic decays Bc->Bn l^+ v_l and the second one is non-leptonic decays Bc -> Bn M1 M2 where M_i is pseudo-scalar mesons, and Bn is an octet baryon.
    We study both types of decay processes with the SU(3)F flavor symmetry method and use the light-front quark model to calculate the explicit baryon-baryon transition form factors in semi-leptonic processes. We give our predictions of branching ratios and angular asymmetries and compare them to other models and experimental data.

    Contents . . . . . . . . . . . . . . . . . . . . . . . . . . ii List of Tables . . . . . . . . . . . . . . . . . . . . . . . iv List of Figures. . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . 1 2 Theoretical Background . . . . . . . . . . . . . . . . . . 4 2.1 The Standard Model . . . . . . . . . . . . . . . . . . . 4 2.2 SU(3)F irreducible representations . . . . . . . . . . . 6 2.3 Light-front quark model . . . . . . . . . . . . . . . . 8 3 Bc->Bn l+ vl semi-leptonic decays . . . . . . . . . . . . 10 3.1 Helicity Amplitudes and Observables . . . . . . . . . . 10 3.2 SU(3)F analysis . . . . . . . . . . . . . . . . . . . . 12 3.3 Light-front analysis . . . . . . . . . . . . . . . . . . 14 3.4 Numerical results . . . . . . . . . . . . . . . . . . . 17 3.4.1 SU(3)F analysis . . . . . . . . . . . . . . . . . . . 17 3.4.2 Light-front analysis . . . . . . . . . . . . . . . . . 18 3.4.3 Branching ratios and averaged asymmetries . . . . . . 19 4 Bc -> Bn M1 M2 non-leptonic decays . . . . . . . . . . . . 24 4.1 Decay amplitudes and Observables . . . . . . . . . . . . 24 4.2 SU(3)F analysis . . . . . . . . . . . . . . . . . . . . 25 4.3 Numerical analysis . . . . . . . . . . . . . . . . . . . 30 5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . 33 A Bc -> Bn M1 M2 numerical results . . . . . . . . . . . . . 35

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