Chiral soliton models for baryons:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Medienkombination Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2008
|
| Schriftenreihe: | Lecture Notes in Physics
743 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 274 S. graph. Darst. |
| ISBN: | 9783540754350 |
Internformat
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| 100 | 1 | |a Weigel, Herbert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Chiral soliton models for baryons |c H. Weigel |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2008 | |
| 300 | |a IX, 274 S. |b graph. Darst. | ||
| 490 | 1 | |a Lecture Notes in Physics |v 743 | |
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Datensatz im Suchindex
| _version_ | 1804137346256338944 |
|---|---|
| adam_text | Contents
1
Introduction
and Motivation
............................... 1
References
.................................................. 4
2
Quark Flavor Interaction
.................................. 5
2.1
Chiral Symmetry
........................................ 5
2.2
Dynamical Breaking of Chiral Symmetry
................... 6
2.3
The
Nambu-
Jona-Lasmio Model
.......................... 8
2.4
Gradient Expansion
..................................... 15
2.5
PCAC
................................................. 19
2.6
Relation to
Instanton
Effects
.............................. 21
2.7
Б іпаі
Note on Chiral Quark Models
........................ 24
References
.................................................. 24
3
Self-consistent Soliton
..................................... 27
3.1
Static Energy Functional
................................. 27
3.2
Method
................................................ 31
3.3
Soliton Solutions in NJL-Type Models
..................... 35
3.3.1
Pseudoscalar Fields
................................ 35
3.3.2
Vector and Axial-Vector Fields
...................... 38
3.3.3
Remark on the
ω
Field
............................. 39
3.3.4
Comments on Scalar Fields
......................... 40
References
.................................................. 41
4
The Skyrme Model
........................................ 43
4.1
Large-Nc Considerations
................................. 43
4.2 Baryons
in Large-TVc QCD
............................... 47
4.3
A Simple Soliton
........................................ 51
4.4
Skyrme Model Soliton
.................................... 53
4.5
Equations of Motion and Wess-Zumino Term
............... 55
4.6
Topological Structures
................................... 58
4.7
Vector
Interactions
...................................... 60
References
.................................................. 64
5 Soliton
Quantization in Flavor SU(2)
...................... 65
5.1
Collective Coordinates
................................... 65
5.2
Quantization of the SU(N) Rigid Top
..................... 67
5.3
Nucleón
and
Δ
States
.................................... 71
5.4
Nucleón
Static Properties
................................. 73
5.5
Quantization in Vector Meson Models
...................... 79
5.6
Quantization in Chiral Quark Models
...................... 81
References
.................................................. 83
6
Soliton Quantization in Flavor SU(3)
...................... 85
6.1 Baryon
States in the Non-relativistic Quark Model
.......... 85
6.2
Quantization of the Soliton in the Flavor Symmetric Case
.... 86
6.3
Flavor Symmetry Breaking
............................... 92
6.4
Diagonalization with Flavor Symmetry Breaking
............ 96
6.5
Beyond the Classical Hedgehog Solution
.................... 98
6.6
Bound State Approach
...................................100
6.7 Baryons
with a Heavy Valence Quark
......................105
6.8
Brief Summary on Soliton Quantization
....................110
References
..................................................
Ill
7 Baryon
Properties
.........................................113
7.1
Electromagnetic Properties
...............................114
7.2
Relativistic Corrections
..................................119
7.3
Axial Charges and Hyperon Decays
........................120
7.4
Proton Spin Puzzle
......................................125
7.5
Strangeness in the
Nucleón
...............................129
7.6
Neutron- Proton Mass Difference
..........................131
7.7
Nucleón
Structure Functions
..............................134
References
..................................................143
8 Meson-Baryon
Scattering in Chiral Soliton Models
........147
8.1
Adiabatic Approximation
.................................148
8.2
S-Wave Scattering
.......................................153
8.3
P-Wave Scattering and the Yukawa Problem
................156
8.4
Photo-production
........................................160
8.5
Non-harmonic Excitations
................................167
8.6
Estimate of Quantum Corrections in Soliton Models
.........171
References
..................................................178
9
Exotic
Baryons............................................181
9.1
Exotic Flavor Structure and Spectrum
.....................182
9.2
Spectrum and Mixing Mechanisms
.........................185
9.3
The Myth of the Narrow Pentaquark
.......................190
9.4
Rigid Rotator at Arbitrary Nc
............................193
9.5
Solution to the Yukawa Problem
..........................197
9.6
Skyrme Model Results for the Pentaquark Width
............203
References
..................................................204
10
Multi-baryon Systems in the Skyrme Model
...............207
10.1
Static Configurations with
В
> 2..........................207
10.2
Product
Ansatz.........................................211
10.3
Nuclcon-Nucleon Potential
...............................212
10.4
Towards Dense Matter
...................................217
10.5
An Application to Heavy Ion Collisions
....................220
10.6
The H-dibaryon
.........................................225
References
..................................................229
Epilogue
.......................................................231
A: Chiral Properties of Quark Bilinears
........................233
Reference
...................................................235
B: Functional Techniques
......................................237
C:
Baryon
Current and Wess-Zumino Term
...................243
C.I Gradient Expansion of the Fermion Determinant with a
Baryon
Source
..........................................243
C.2 Gauging the Wess-Zumino Term
..........................246
C.3 Wess-Zumino Term in the Bound State Approach
...........249
C.4
π°
Decay
...............................................250
References
..................................................252
D: SU(3)
Euler
Angles
........................................253
References
..................................................258
E: Matrix Elements of Momentum Eigenstates
................259
E.I Momentum Eigenstates from Collective Coordinates
.........259
E.2 Relativistic Recoil Corrections
............................261
References
..................................................263
Recoupling Coefficients in Adiabatic Scattering
................265
F.I Adiabatic Recoupling Coefficients
.........................265
F.2 Jost Function for Intrinsic Fluctuations
....................267
References
..................................................270
Index
..........................................................271
|
| adam_txt |
Contents
1
Introduction
and Motivation
. 1
References
. 4
2
Quark Flavor Interaction
. 5
2.1
Chiral Symmetry
. 5
2.2
Dynamical Breaking of Chiral Symmetry
. 6
2.3
The
Nambu-
Jona-Lasmio Model
. 8
2.4
Gradient Expansion
. 15
2.5
PCAC
. 19
2.6
Relation to
Instanton
Effects
. 21
2.7
Б'іпаі
Note on Chiral Quark Models
. 24
References
. 24
3
Self-consistent Soliton
. 27
3.1
Static Energy Functional
. 27
3.2
Method
. 31
3.3
Soliton Solutions in NJL-Type Models
. 35
3.3.1
Pseudoscalar Fields
. 35
3.3.2
Vector and Axial-Vector Fields
. 38
3.3.3
Remark on the
ω
Field
. 39
3.3.4
Comments on Scalar Fields
. 40
References
. 41
4
The Skyrme Model
. 43
4.1
Large-Nc Considerations
. 43
4.2 Baryons
in Large-TVc QCD
. 47
4.3
A Simple Soliton
. 51
4.4
Skyrme Model Soliton
. 53
4.5
Equations of Motion and Wess-Zumino Term
. 55
4.6
Topological Structures
. 58
4.7
Vector
Interactions
. 60
References
. 64
5 Soliton
Quantization in Flavor SU(2)
. 65
5.1
Collective Coordinates
. 65
5.2
Quantization of the SU(N) Rigid Top
. 67
5.3
Nucleón
and
Δ
States
. 71
5.4
Nucleón
Static Properties
. 73
5.5
Quantization in Vector Meson Models
. 79
5.6
Quantization in Chiral Quark Models
. 81
References
. 83
6
Soliton Quantization in Flavor SU(3)
. 85
6.1 Baryon
States in the Non-relativistic Quark Model
. 85
6.2
Quantization of the Soliton in the Flavor Symmetric Case
. 86
6.3
Flavor Symmetry Breaking
. 92
6.4
Diagonalization with Flavor Symmetry Breaking
. 96
6.5
Beyond the Classical Hedgehog Solution
. 98
6.6
Bound State Approach
.100
6.7 Baryons
with a Heavy Valence Quark
.105
6.8
Brief Summary on Soliton Quantization
.110
References
.
Ill
7 Baryon
Properties
.113
7.1
Electromagnetic Properties
.114
7.2
Relativistic Corrections
.119
7.3
Axial Charges and Hyperon Decays
.120
7.4
Proton Spin Puzzle
.125
7.5
Strangeness in the
Nucleón
.129
7.6
Neutron- Proton Mass Difference
.131
7.7
Nucleón
Structure Functions
.134
References
.143
8 Meson-Baryon
Scattering in Chiral Soliton Models
.147
8.1
Adiabatic Approximation
.148
8.2
S-Wave Scattering
.153
8.3
P-Wave Scattering and the Yukawa Problem
.156
8.4
Photo-production
.160
8.5
Non-harmonic Excitations
.167
8.6
Estimate of Quantum Corrections in Soliton Models
.171
References
.178
9
Exotic
Baryons.181
9.1
Exotic Flavor Structure and Spectrum
.182
9.2
Spectrum and Mixing Mechanisms
.185
9.3
The Myth of the Narrow Pentaquark
.190
9.4
Rigid Rotator at Arbitrary Nc
.193
9.5
Solution to the Yukawa Problem
.197
9.6
Skyrme Model Results for the Pentaquark Width
.203
References
.204
10
Multi-baryon Systems in the Skyrme Model
.207
10.1
Static Configurations with
В
> 2.207
10.2
Product
Ansatz.211
10.3
Nuclcon-Nucleon Potential
.212
10.4
Towards Dense Matter
.217
10.5
An Application to Heavy Ion Collisions
.220
10.6
The H-dibaryon
.225
References
.229
Epilogue
.231
A: Chiral Properties of Quark Bilinears
.233
Reference
.235
B: Functional Techniques
.237
C:
Baryon
Current and Wess-Zumino Term
.243
C.I Gradient Expansion of the Fermion Determinant with a
Baryon
Source
.243
C.2 Gauging the Wess-Zumino Term
.246
C.3 Wess-Zumino Term in the Bound State Approach
.249
C.4
π°
Decay
.250
References
.252
D: SU(3)
Euler
Angles
.253
References
.258
E: Matrix Elements of Momentum Eigenstates
.259
E.I Momentum Eigenstates from Collective Coordinates
.259
E.2 Relativistic Recoil Corrections
.261
References
.263
Recoupling Coefficients in Adiabatic Scattering
.265
F.I Adiabatic Recoupling Coefficients
.265
F.2 Jost Function for Intrinsic Fluctuations
.267
References
.270
Index
.271 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T19:41:37Z |
| indexdate | 2024-07-09T21:10:50Z |
| institution | BVB |
| isbn | 9783540754350 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016295435 |
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| physical | IX, 274 S. graph. Darst. |
| publishDate | 2008 |
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| series | Lecture Notes in Physics |
| series2 | Lecture Notes in Physics |
| spelling | Weigel, Herbert Verfasser aut Chiral soliton models for baryons H. Weigel Berlin [u.a.] Springer 2008 IX, 274 S. graph. Darst. Lecture Notes in Physics 743 Soliton (DE-588)4135213-0 gnd rswk-swf Baryon (DE-588)4144076-6 gnd rswk-swf Baryon (DE-588)4144076-6 s Soliton (DE-588)4135213-0 s DE-604 Lecture Notes in Physics 743 (DE-604)BV000003166 743 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016295435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weigel, Herbert Chiral soliton models for baryons Lecture Notes in Physics Soliton (DE-588)4135213-0 gnd Baryon (DE-588)4144076-6 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4144076-6 |
| title | Chiral soliton models for baryons |
| title_auth | Chiral soliton models for baryons |
| title_exact_search | Chiral soliton models for baryons |
| title_exact_search_txtP | Chiral soliton models for baryons |
| title_full | Chiral soliton models for baryons H. Weigel |
| title_fullStr | Chiral soliton models for baryons H. Weigel |
| title_full_unstemmed | Chiral soliton models for baryons H. Weigel |
| title_short | Chiral soliton models for baryons |
| title_sort | chiral soliton models for baryons |
| topic | Soliton (DE-588)4135213-0 gnd Baryon (DE-588)4144076-6 gnd |
| topic_facet | Soliton Baryon |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016295435&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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