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研究生：	潘肯可 Phumphan, Kanokphon
論文名稱：	Pc的分子結構探討 Pc in Molecular Picture
指導教授：	陳家駒 Chen, Chia-Chu
共同指導教授:	Yupeng Yan Yan, Yupeng Ayut Limphirat Ayut Limphirat
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：	2020
畢業學年度：	109
語文別：	英文
論文頁數：	50
外文關鍵詞：	Hidden-charm pentaquark, Charmonium-like pentaquark
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We study charmonium-like pentaquarks in the baryon-meson molecule picture within the framework of the constituent quark model and consider all the possible configurations for the ground state of charmonium-like pentaquarks. The decay branch ratios of Pc(4312), Pc(4440) and Pc(4457) are estimated for all the configurations and all possible decay chan nels. The decay patterns show that all the states decay in the pJ/ψ channel while all the states of Jp = 1/2− decay in the pηc channel. It is found that five states in the color singlet⊗ singlet configuration decay in open charm channels dominantly over hidden charm channels, and all the states in the color octet⊗octet configuration may not decay in open charm channels. We may conclude that the baryon-meson molecules decay dominantly through open charm channels.

Contents
Abstract i
Acknowledgement ii
1 Introduction 1
2 Pc and Final State Wave Functions 5
2.1 Configuration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.1.1 Baryon part configuration . . . . . . . . . . . . . . . . . . . . . . 6
2.1.2 Meson configuration . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.2 The pentaquark wave function . . . . . . . . . . . . . . . . . . . . . . . . 16
2.3 Decay particles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.4 Spatial wave function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
3 Decay of the Pc 22
3.1 Transition amplitude . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3.2 Momentum and Phenomenological form . . . . . . . . . . . . . . . . . . . 25
3.3 Color-Spin-Flavor factor . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.4 Partial decay width ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
3.5 Normalized decay width . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
4 Discussion and Conclusion 34
References 37
Appendices 40
A 40
A.1 Young tabloid diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
A.2 Applied orthogonal theorem . . . . . . . . . . . . . . . . . . . . . . . . . 43
A.3 Wave function combination . . . . . . . . . . . . . . . . . . . . . . . . . . 44
A.4 Coupling the flavor wave function . . . . . . . . . . . . . . . . . . . . . . 46
A.5 Coupling spin wave function . . . . . . . . . . . . . . . . . . . . . . . . . 47
A.6 Color-flavor-spin factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
A.6.1 Color factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
A.6.2 Flavor factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
A.6.3 Spin factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

                                    

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校內：2022-06-01公開
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