Description 
1 online resource (xvi, 325 pages) : illustrations 
Contents 
1. Introduction. 1.1. Nonrelativistic threenucleon and threequark systems. 1.2. Dispersion relation technique for three particle systems  2. Elements of dispersion relation technique for twobody scattering reactions. 2.1. Analytical properties of fourpoint amplitudes. 2.2. Dispersion relation N/Dmethod and ansatz of separable interactions. 2.3. Instantaneous interaction and spectral integral equation for twobody 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: Fourpole 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. Threebody system in terms of separable interactions: analytic continuation of the fourpoint scattering amplitude to the decay region. 3.2. Nonrelativistic approach and transition of twoparticle spectral integral to the threeparticle one. 3.3. Consideration of amplitudes in terms of a threeparticle spectral integral. 3.4. Threeparticle 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 nparticle state. 3.9. Appendix C. Feynman diagram technique and evolution of systems in the positive timedirection 3.10. Appendix D. Coordinate representation for nonrelativistic threeparticle wave function  4. Nonrelativistic threebody amplitude. 4.1. Introduction. 4.2. Nonresonance 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 threenucleon 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 SkornyakovTerMartirosyan 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 threemeson decay channels in [symbol] annihilation at rest. 5.4. Conclusion  6. Isobar model and partial wave analysis. Dmatrix method. 6.1. The Kmatrix and Dmatrix techniques. 6.2. Mesonmeson scattering. 6.3. Partial wave analysis of baryon spectra in the frameworks of Kmatrix and Dmatrix methods  7. Reggeonexchange technique. 7.1. Introduction. 7.2. Mesonnucleon collisions at high energies: peripheral twomeson production in terms of reggeon exchanges. 7.3. Results of the fit. 7.4. Summary for isoscalar resonances. 7.5. Appendix A. Dmatrix technique in the twomeson production reactions. 7.6. Appendix B. Elements of the reggeon exchange technique in the twomeson 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 quarkdiquark systematics of baryons. 8.1. Diquarks and reduction of baryon states. 8.2. Baryons as quarkdiquark 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 threebody problem  9. Conclusion 
Summary 
The necessity of describing threenucleon and threequark 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 relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of threeparticle processes they are, as a rule, those where other manyparticle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book 
Notes 
Title from PDF title page (viewed on Apr. 23, 2013) 
Bibliography 
Includes bibliographical references 
Notes 
Print version record 
Subject 
Particles (Nuclear physics)


Dispersion relations.


particle physics.


SCIENCE  Physics  Nuclear.


Dispersion relations


Particles (Nuclear physics)

Form 
Electronic book

Author 
Anisovich, A. V

ISBN 
9789814478816 

9814478814 

9814478806 

9789814478809 

9781299462830 

1299462839 
