Title Page
Contents
제I장 Introduction 11
제II장 Chiral quark-soliton model 21
II.1. Chiral quark-soliton model 21
제III장 Axial-vector form factors of the baryon decuplet 31
제IV장 Axial-vector transition form factors from the baryon decuplet to the baryon octet 53
제V장 Axial-vector transition form factors of singly heavy baryons 72
제VI장 Quark spin contents of SU(3) light and singly heavy baryons 97
제VII장 Summary and conclusion 105
제A장 Appendix 107
A.1. Notations 107
A.2. Euclidean space 108
A.3. flavor SU(3) structure 108
A.4. Model expressions 110
제B장 Model description of baryon states 112
B.1. Formalism 112
B.2. Time ordering 116
B.3. Quantization 116
B.4. G5 Relations[이미지참조] 117
B.5. The baryon correlation function 118
B.6. Results of SU(3) Wigner D functions 158
B.7. The reduced matrix elements 164
B.8. Densities 169
제C장 General form factors 174
C.0.1. Axial-vector form factors of the baryon decuplet 180
C.0.2. Axial-vector transition form factors for the decay from the baryon decuplet to the baryon octet 184
참고 문헌 193
표 III.1. Numerical results for the triplet axial-vector constant g1(3)B (0) or the axial charge in comparison with those from lattice QCD(LQCD), the relativistic constituent quark model(RCQM), the Light-cone QCD...[이미지참조] 42
표 III.2. Numerical results for the triplet axial-vector constant g3(3) (0),h1(3) (0),h3(3) (0)[이미지참조] 44
표 IV.1. Numerical results for the triplet axial-vector transition constant C5A B10→B8 (0)[이미지참조] 60
표 IV.2. Numerical results of the axial mass for C5A B10→B8 (0)[이미지참조] 64
표 IV.3. Numerical results of the axial radii for C5A B10→B8 (0)[이미지참조] 65
표 V.1. Numerical results for the triplet axial-vector transition constant GA B6→B3 (0) in comparison.[이미지참조] 93
표 V.2. Numerical results for the triplet axial-vector transition constant C5A B6→B3 (0) in comparison.[이미지참조] 93
표 V.3. Numerical results for the triplet axial-vector transition constant C5A B6,J=3/2→B6,J=1/2 (0) in comparison.[이미지참조] 94
표 V.4. Numerical results for the triplet axial-vector transition constant GA B6→B3 (0) in comparison.[이미지참조] 96
표 VI.1. Axial vector couplings 98
표 VI.2. Axial vector constant and flavor decomposition of the baryon octet in the model calculation 102
표 VI.3. Axial vector constant and flavor decomposition of the baryon decuplet in the model calculation 103
표 VI.4. Axial vector constant and flavor decomposition of the baryon sextet with J = 1/2 in the model calculation 103
표 VI.5. Axial vector constant and flavor decomposition of the baryon sextet with J = 3/2 in the model calculation 104
표 A.1. Values of fαβρ and dαβρ.[이미지참조] 110
표 B.1. The matrix elements of the single and double Wigner D function operators when a = 3. 159
표 B.2. The transition matrix elements of the single Wigner D function operators coming from the 27-plet component of the baryon wavefunctions when... 159
표 B.3. The matrix elements of the single and double Wigner D function operators when a = 1 + i2. 160
표 B.4. The transition matrix elements of the single Wigner D function operators coming from the 27-plet component of the baryon wavefunctions when... 160
표 B.5. The matrix elements of the single and double Wigner D function operators when a = 1 - i2. 161
표 B.6. The transition matrix elements of the single Wigner D function operators coming from the 27-plet component of the baryon wavefunctions when... 161
표 B.7. The matrix elements of the single and double Wigner D function operators when a = 4 + i5. 162
표 B.8. The transition matrix elements of the single Wigner D function operators coming from the 27-plet component of the baryon wavefunctions when... 162
표 B.9. The matrix elements of the single and double Wigner D function operators when a = 4 - i5. 163
표 B.10. The transition matrix elements of the single Wigner D function operators coming from the 27-plet component of the baryon wavefunctions when... 163
표 B.11. Diagonal matrix elements of O₁ = σ₁ 164
표 B.12. Nondiagonal matrix elements of O₁ = σ₁ 164
표 B.13. Diagonal matrix elements of O₁ = {σ₁ ⊗ τ₁}0[이미지참조] 164
표 B.14. Diagonal matrix elements of O₁ = {σ₁ ⊗ τ₁}₁ 165
표 B.15. Nondiagonal matrix elements of O₁ = {σ₁ ⊗ τ₁}₁ 165
표 B.16. Diagonal matrix elements of O₁ = {√4πY₂ ⊗ σ₁}₁ 165
표 B.17. Nondiagonal matrix elements of O₁ = {√4πY₂ ⊗ σ₁}₁ 165
표 B.18. Diagonal matrix elements of O₁ = {{√4πY₂ ⊗ σ₁} ⊗ τ₁}0[이미지참조] 166
표 B.19. Diagonal matrix elements of O₁ = {{√4πY₂ ⊗ σ₁} ⊗ τ₁}₁ 166
표 B.20. Nondiagonal matrix elements of O₁ = {{√4πY₂ ⊗ σ₁} ⊗ τ₁}₁ 166
표 B.21. Diagonal matrix elements of O₁ = τ₁ 166
표 B.22. Nondiagonal matrix elements of O₁ = τ₁ 167
표 B.23. Diagonal matrix elements of O₁ =√2πY₁ 167
표 B.24. Nondiagonal matrix elements of O₁ =√2πY₁ 167
표 B.25. Diagonal matrix elements of O₁ = {√2πY₁ ⊗ τ₁}0[이미지참조] 167
표 B.26. Diagonal matrix elements of O₁ = {√2πY₁ ⊗ τ₁}₁ 168
표 B.27. Nondiagonal matrix elements of O₁ = {√2πY₁ ⊗ τ₁}₁ 168
그림 III.0.1. The baryon decuplet. 33
그림 III.0.2. Axial-vector form factor g₁ (Q²) of △+.[이미지참조] 43
그림 III.0.3. Axial-vector form factor h₁ (Q²) of △+.[이미지참조] 45
그림 III.0.4. Axial-vector form factors g₃ (Q²) of △+.[이미지참조] 46
그림 III.0.5. Axial-vector form factors h₁ (Q²) of the baryon decuplet. 46
그림 III.0.6. Axial-vector form factors g₁ (Q²) of the △+ in comparison with the lattice QCD data.[이미지참조] 47
그림 III.0.7. Axial-vector form factors g₃ (Q²) of the △+ in comparison with the lattice QCD data.[이미지참조] 47
그림 III.0.8. Axial-vector form factors h₁ (Q²) of the △+ in comparison with the lattice QCD data.[이미지참조] 48
그림 III.0.9. Axial-vector form factors h₃ (Q²) of the △+ in comparison with the lattice QCD data.[이미지참조] 48
그림 III.0.10. Axial-vector form factors g1(0) (Q²) of △+.[이미지참조] 50
그림 III.0.11. Axial-vector form factors g3(0) (Q²) of △+.[이미지참조] 50
그림 III.0.12. Axial-vector form factors g1(8) (Q²) of △+.[이미지참조] 51
그림 III.0.13. Axial-vector form factors g3(8) (Q²) of △+.[이미지참조] 51
그림 IV.0.1. Axial-vector transition form factor from the △+ to proton.[이미지참조] 57
그림 IV.0.2. Axial-vector transition form factor from the △+ to proton in comparison with those of other models.[이미지참조] 61
그림 IV.0.3. Axial-vector transition form factors C5A (Q²) from the baryon decuplet to the baryon octet.[이미지참조] 66
그림 IV.0.4. Axial-vector transition form factors C5A(1+i2) (Q²) from the baryon decuplet to the baryon octet.[이미지참조] 67
그림 IV.0.5. Axial-vector transition form factors C5A(1-i2) (Q²) from the baryon decuplet to the baryon octet.[이미지참조] 68
그림 IV.0.6. Axial-vector transition form factors C5A(4+i5) (Q²) from the baryon decuplet to the baryon octet.[이미지참조] 69
그림 IV.0.7. Axial-vector transition form factors C5A(4-i5) (Q²) from the baryon decuplet to the baryon octet.[이미지참조] 70
그림 V.0.1. The baryon anti-triplet and the baryon sextet with J = 1/2,J = 3/2. 73
그림 V.0.2. Axial-vector transition form factors C5A (Q²) from Σc+ to Λc+.[이미지참조] 85
그림 V.0.3. Axial-vector transition form factors C5A (Q²) from Σc*+ to Λc+.[이미지참조] 85
그림 V.0.4. Axial-vector transition form factors C5A(1+i2) (Q²) from Σc+ to Λc+.[이미지참조] 86
그림 V.0.5. Axial-vector transition form factors C5A (Q²) from Σc++ to Λc+.[이미지참조] 89
그림 V.0.6. Axial-vector transition form factors C5A (Q²) from the baryon sextet to the baryon anti-triplet.[이미지참조] 89
그림 V.0.7. Axial-vector transition form factors C5A(4-i5) (Q²) from Ξ'c0 to Λc+.[이미지참조] 90
그림 V.0.8. Axial-vector transition form factors C5A(4-i5) (Q²) from Ξ'c0 to Λc+.[이미지참조] 90
그림 V.0.9. Axial-vector transition form factors C5A (Q²) of the transition Σc*++ → Σc++.[이미지참조] 91
그림 V.0.10. Axial-vector transition form factors C5A(1+i2) (Q²) of the transition Σc*+ → Σc++.[이미지참조] 92
그림 V.0.11. Axial-vector transition form factors C5A(1-i2) (Q²) of the transition Σc*++ → Ξ'c+.[이미지참조] 92
그림 V.0.12. Axial-vector transition form factors C5A (Q²) in the transition Σc*++ to Σc++ in comparison with △+ to p.[이미지참조] 95
그림 VI.0.1. Axial-vector constant with the linear-type profile function as a function of the soliton size(Proton and Σc++).[이미지참조] 100
그림 VI.0.2. Axial-vector constant with the linear-type profile function as a function of the soliton size(△+ and Σc*+)[이미지참조] 101