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Three-particle physics and Dispersion Relation theory /
The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relati...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction. 1.1. Non-relativistic three-nucleon and three-quark systems. 1.2. Dispersion relation technique for three particle systems
- 2. Elements of dispersion relation technique for two-body scattering reactions. 2.1. Analytical properties of four-point amplitudes. 2.2. Dispersion relation N/D-method and ansatz of separable interactions. 2.3. Instantaneous interaction and spectral integral equation for two-body systems. 2.4. Appendix A. Angular momentum operators. 2.5. Appendix B: The [symbol] scattering amplitude near the twopion thresholds, [symbol]. 2.6. Appendix C: Four-pole fit of the [symbol] wave in the region M[symbol] <900 MeV
- 3. Spectral integral equation for the decay of a spinless particle. 3.1. Three-body system in terms of separable interactions: analytic continuation of the four-point scattering amplitude to the decay region. 3.2. Non-relativistic approach and transition of two-particle spectral integral to the three-particle one. 3.3. Consideration of amplitudes in terms of a three-particle spectral integral. 3.4. Three-particle composite systems, their wave functions and form factors. 3.5. Equation for an amplitude in the case of instantaneous interactions in the final state. 3.6. Conclusion. 3.7. Appendix A. Example: loop diagram with [symbol]. 3.8. Appendix B. Phase space for n-particle state. 3.9. Appendix C. Feynman diagram technique and evolution of systems in the positive time-direction 3.10. Appendix D. Coordinate representation for non-relativistic three-particle wave function
- 4. Non-relativistic three-body amplitude. 4.1. Introduction. 4.2. Non-resonance interaction of the produced particles. 4.3. The production of three particles near the threshold when two particles interact strongly. 4.4. Decay amplitude for K [symbol] and pion interaction. 4.5. Equation for the three-nucleon amplitude. 4.6. Appendix A. Landau rules for finding the singularities of the diagram. 4.7. Appendix B. Anomalous thresholds and final state interaction. 4.8. Appendix C. Homogeneous Skornyakov-Ter-Martirosyan equation. 4.9. Appendix D. Coordinates and observables in the threebody problem.
- 5. Propagators of spin particles and relativistic spectral integral equations. 5.1. Boson propagators. 5.2. Propagators of fermions. 5.3. Spectral integral equations for the coupled three-meson decay channels in [symbol] annihilation at rest. 5.4. Conclusion
- 6. Isobar model and partial wave analysis. D-matrix method. 6.1. The K-matrix and D-matrix techniques. 6.2. Meson-meson scattering. 6.3. Partial wave analysis of baryon spectra in the frameworks of K-matrix and D-matrix methods
- 7. Reggeon-exchange technique. 7.1. Introduction. 7.2. Meson-nucleon collisions at high energies: peripheral two-meson production in terms of reggeon exchanges. 7.3. Results of the fit. 7.4. Summary for isoscalar resonances. 7.5. Appendix A. D-matrix technique in the two-meson production reactions. 7.6. Appendix B. Elements of the reggeon exchange technique in the two-meson production reactions. 7.7. Appendix C. Cross sections for the reactions [symbol]. 7.8. Appendix D. Status of trajectories on [symbol] plane. 7.9. Appendix E. Assignment of mesons to nonets
- 8. Searching for the quark-diquark systematics of baryons. 8.1. Diquarks and reduction of baryon states. 8.2. Baryons as quark-diquark systems. 8.3. The setting of states with L = 0 and the SU(6) symmetry. 8.4. The setting of baryons with L> 0 as [symbol] states. 8.5. Version with [symbol] and overlapping [symbol] and [symbol] states. 8.6. Conclusion. 8.7. Appendix A. Spectral integral equations for pure [symbol] and [symbol] systems. 8.8. Appendix B. Group theoretical description. Symmetrical basis in the three-body problem
- 9. Conclusion.