Levin The Few Body Problem

Proceedings of the Ninth International Conference on the Few Body Problem, Eugene, Oregon, USA, 17-23 August 1980
1. Auflage 2013
ISBN: 978-1-4832-5709-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 42 Seiten, Web PDF

The Few Body Problem covers the proceedings of the Ninth International Conference on the Few Body Problem, held in Eugene, Oregon, USA on August 17-23, 1980. The book focuses on relativistic and particle physics, intermediate energy physics, nuclear, atomic, and molecular physics, and chemistry. The selection first offers information on nucleon-nucleon interaction in applications, including derivation of the nucleon-nucleon potential, nuclear many-body problem, and classic nuclear structure. The text also looks at three- and four-nucleon systems and graphs of three-body wave functions. The publication elaborates on K-meson experiments and non-mesonic few-nucleon phenomena. Topics include tests of invariance principles, properties of nuclei, dynamics, and hypernuclear physics. The manuscript also ponders on the Coulomb problem, atomic, molecular, and nuclear collisions, and muon capture in hydrogen isotopes. The selection is a dependable reference for readers interested in the few body problem.

Autoren/Hrsg.

Levin, F. S.

Inhaltsverzeichnis

1;Front Cover;2
2;The Few Body Problem;6
3;Copyright Page;7
4;Table of Contents;12
5;PREFACE;10
6;ORGANIZATION;8
7;LIST OF PARTICIPANTS;14
8;PART I: THE NUCLEON-NUCLEON INTERACTION;22
8.1;CHAPTER 1. NUCLEON-NUCLEON INTERACTION IN APPLICATIONS;24
8.1.1;1. Introduction;24
8.1.2;2, Nuclear many-body problem: accuracy of its solution and results;24
8.1.3;3. Derivation of the nucleon-nucleon potential;30
8.1.4;4. Beyond classic nuclear structure;32
8.1.5;5. Conclusion;36
8.1.6;References;36
8.2;CHAPTER 2. NN AND NN INTERACTIONS;38
8.2.1;1 . Introduction;38
8.2.2;2. Nucleon-nucleon elastic scattering;38
8.2.3;3. Nucleon-nucleon interaction – theory;40
8.2.4;4. Nucleon-nucleon interactions – experiment;41
8.2.5;5. Deuteron properties;45
8.2.6;6. NN bound states and resonances;46
8.2.7;References;47
9;PART II: THREE AND FOUR NUCLEON SYSTEMS;50
9.1;CHAPTER 3. THREE- AND FOUR-NUCLEON SYSTEMS (EXPERIMENT);52
9.1.1;1. Introduction;52
9.1.2;2. Experimental results of the three-nucleon system;52
9.1.3;3. Faddeev calculations;54
9.1.4;4. Polarisation transfer coefficient measurements;57
9.1.5;5. Coulomb effects in p-d scattering;59
9.1.6;6. Determination of the asympototic D- to S-state normalization of the deuteron and triton wave function;60
9.1.7;7. Charge symmetry;62
9.1.8;References;65
9.2;CHAPTER 4. THE THREE AND FOUR NUCLEON SYSTEMS (THEORY);68
9.2.1;1. Introduction;68
9.2.2;2. The three nucleon system;68
9.2.3;3. The Four Nucleon System;77
9.2.4;References;80
9.3;CHAPTER 5. GRAPHS OF THREE-BODY WAVE FUNCTIONS;82
9.3.1;1. Introduction;82
9.3.2;2. Faddeev Equations in Configuration Space;83
9.3.3;3. Bound State Wave Functions;85
9.3.4;4. Scattering Wave Functions;90
9.3.5;5. Summary;93
9.3.6;References;93
9.4;CHAPTER 6. K-MESON EXPERIMENTS;96
9.4.1;1. Introduction;96
9.4.2;2. K+-Nucleon Amplitudes;96
9.4.3;3. K-Nucleus Scattering;97
9.4.4;4. Hypernuclear Physics;100
9.4.5;5. Summary;104
9.4.6;References;104
9.5;CHAPTER 7. ELECTROMAGNETIC DISINTEGRATION OF THE A=3 and A=4 NUCLEI;106
9.5.1;1. Introduction;106
9.5.2;2. The Low Energy Photodisintegration Operator;108
9.5.3;3. El Photodisintegration of 3H(3He);109
9.5.4;4. A View of 4He Photodisintegration;115
9.5.5;5. Summary;118
9.5.6;References;119
9.6;CHAPTER 8. NON-MESONIC FEW-NUCLEON PHENOMENA;120
9.6.1;1. Introduction;120
9.6.2;2. Tests of Invariance Principles;120
9.6.3;3. Properties of Nuclei;124
9.6.4;4. Dynamics;125
9.6.5;5. New Calculations;131
9.6.6;6. Summary and Conclusion;131
9.6.7;References;132
9.7;CHAPTER 9. MESONIC FEW-NUCLEON PHENOMENA;134
9.7.1;1. Introduction;134
9.7.2;2. .....p theories;134
9.7.3;3. p-d elastic scattering;135
9.7.4;4. The p-d atom;136
9.7.5;5. The ...dp+ reaction;136
9.7.6;6. Dibaryon resonances;138
9.7.7;7. Elastic p- 3He scattering and p-. scattering lengths;139
9.7.8;8. The reactions pd.t.+, pd.3 He. , pd.Hey and pt.tp Frascaria in ref.36 ) calculates the reactions pd+tp+ (..=180°) and;140
9.7.9;9. Stopped . in 3He, 3H and ai 4He and 4He (n±, .±p) 3H;142
9.7.10;10. The effect of retardation on the binding energy and CFF of A=3 nuclei;143
9.7.11;11. Additional topics;144
9.7.12;References;145
10;PART III: COULOMB AND n-PARTICLE COLLISION PROBLEMS;148
10.1;CHAPTER 10. THE COULOMB PROBLEM A SELECTIVE REVIEW;150
10.1.1;1. Introduction;150
10.1.2;2. Bound states;150
10.1.3;3. Resonances;151
10.1.4;4. Scattering;152
10.1.5;5. Acknowledgment;161
10.2;CHAPTER 11. SOME RECENT DEVELOPMENTS IN n-PARTICLE SCATTERING THEORY;164
10.2.1;1. Introduction;164
10.2.2;2. Theoretical Summary;164
10.2.3;3. Interdisciplinary Applications;165
10.2.4;4. Formal and Technical Developments;169
10.2.5;5. Controversies;171
10.2.6;6. Open Questions;173
10.2.7;7. Acknowledgements;173
10.2.8;References;174
10.3;CHAPTER 12. THE (p,2p) AND (.,..) REACTIONS;178
10.3.1;1. Introduction;178
10.3.2;2. Recent results;178
10.3.3;3. The DWIA calculations;181
10.3.4;4. Refinements in the DWIA
;184
10.3.5;5. Peering inside the calculation;186
10.3.6;References;190
10.4;CHAPTER 13. COULOMB AND n-PARTICLE PROBLEMS;192
10.4.1;1. Introduction;192
10.4.2;2. Long-range effects in two-body systems;192
10.4.3;3. The Efimov effect for n = 4;195
10.4.4;4. The half-shell Coulomb T matrix; half-shell effects;195
10.4.5;5. The three-body problem and the Coulomb interaction;198
10.4.6;6. The n-body problem;201
10.4.7;7. Conclusion;204
10.4.8;8. Acknowledgments;204
10.4.9;References;204
10.5;CHAPTER 14. ATOMIC, MOLECULAR AND NUCLEAR COLLISIONS;206
10.5.1;1. Introduction;206
10.5.2;2. Methods for rearrangement collisions;206
10.5.3;3. Applications of few-body methods in chemistry;210
10.5.4;4. Scattering and reaction experiments in atomic and nuclear physics;211
10.5.5;5. Acknowledgements;217
10.5.6;References;217
11;PART IV: RELATIVISTIC AND PARTICLE PHYSICS;220
11.1;CHAPTER 15. MUON CAPTURE IN HYDROGEN ISOTOPES;222
11.1.1;1. Introduction;222
11.1.2;2. Atomic and molecular processes;222
11.1.3;3. The relevance of the population of hyperfine states;226
11.1.4;4. Recent experimental,investigations;227
11.1.5;References;234
11.2;CHAPTER 16. QUARKS IN THE CONTEXT OF FEW BODY PHYSICS;236
11.2.1;1. Introduction;236
11.2.2;2. The simplest baryonic and mesonic configurations;237
11.2.3;3. The (1s)2q ( . s ) -2q configurations;242
11.2.4;4. The (Is)4q ( Is ) q configurations;245
11.2.5;5. heavy quarks in the MIT bag;246
11.2.6;6. The q6 configurations and the baryon-baryon interaction;248
11.2.7;7. Subquarks?;251
11.2.8;References;253
11.3;CHAPTER 17. RELATIVISTIC EFFECTS IN THE ATOMIC AND NUCLEAR FEW-BODY PROBLEMS;254
11.3.1;1. Introduction;254
11.3.2;2. Calculational methods;259
11.3.3;3. Experiment;260
11.3.4;References;265
11.4;CHAPTER 18. THE SYNTHESIS OF QUANTUM CHROMODYNAMICS AND NUCLEAR PHYSICS;268
11.4.1;1. Introduction;268
11.4.2;2. Short distance processes in QCD;269
11.4.3;3. Nuclear applications of quantum chromodynamics;272
11.4.4;4. QCD and the nucleon – nucleon interaction;274
11.4.5;5. The continuity of nuclear physics and quantum chromodynamics;275
11.4.6;Acknowledgements;276
11.4.7;References;276
11.5;CHAPTER 19. RELATIVITY, FIELD THEORY, QUARKS, BAGS, ETC;278
11.5.1;Introduction;278
11.5.2;1. Relativistic wave equations;278
11.5.3;2. Quarks and nucleons and the nuclear force;283
11.5.4;3. Existence;284
11.5.5;4. Confinement and the Coulomb problem;285
11.5.6;References;286
11.6;CHAPTER 20. PHOTON-PHOTON INTERACTIONS;288
11.6.1;1. Introduction;288
11.6.2;2. Testing Quantum Electrodynamics;289
11.6.3;3. Two photon production of hadrons;289
11.6.4;4. Conclusion;290
11.6.5;Acknowledgment;290
11.6.6;References;291
12;PART V: ATOMIC AND MOLECULAR FEW BODY PROBLEMS;292
12.1;CHAPTER 21. REARRANGEMENT AND ENERGY TRANSFER COLLISIONS OF FEW-BODY MOLECULAR SYSTEMS: EXPERIMENTAL;294
12.1.1;1. Introduction;294
12.1.2;2. Energy Transfer Collisions;295
12.1.3;3. Rearrangement Collisions;300
12.1.4;ACKNOWLEDGMENTS;306
12.1.5;REFERENCES;306
12.2;CHAPTER 22. FEW BODY MOLECULAR COLLISIONS: THEORETICAL;308
12.2.1;I. Introduction;308
12.2.2;2. Electronically adiabatic expansion;308
12.2.3;3. The mapping of potential energy surfaces for triatomic systems;310
12.2.4;4. Scattering formalism in body-fixed coordinates;312
12.2.5;5. Approximate methods;313
12.2.6;6. Calculations for systems leading to changes in electronic state;314
12.2.7;REFERENCES;314
12.3;CHAPTER 23. RECENT FORMULATIONS OF e±-., e~-He+, e -He SCATTERING: MULTICHANNEL THEORY AND COMPARISON WITH EXPERIMENT;316
12.3.1;1. Introduction;316
12.3.2;2. Theory;317
12.3.3;3. Computational Results and Experiment;323
12.3.4;4. Impact Ionization;327
12.3.5;Acknowledgments;328
12.3.6;References;328
12.4;CHAPTER 24. FEW-BODY PROCESSES IN ATOM-DIATOM COLLISIONS;330
12.4.1;1. Introduction;330
12.4.2;2. Electronic potential energies;331
12.4.3;3. Wavemechanical methods and results;333
12.4.4;4. Transition-operator methods;338
12.4.5;Acknowledgements;343
12.4.6;References;343
12.5;CHAPTER 25. (e,2e) THEORY AND EXPERIMENT;348
12.5.1;1. Introduction;348
12.5.2;2. Experimental Methods;349
12.5.3;3. The Differential Cross Section;350
12.5.4;4. The Overlap Amplitude;352
12.5.5;5. The Cross Section for Atomic Targets;354
12.5.6;6. Molecules;357
12.5.7;7. Summary;360
12.5.8;8. Acknowledgment;361
12.6;CHAPTER 26. WAVEPACKET THEORY OF COLLISIONAL DISSOCIATION IN MOLECULES
;362
12.6.1;1. Introduction;362
12.6.2;2. Calculations;363
12.6.3;3, Results;364
12.6.4;4. Conclusions;371
12.6.5;References;371
12.7;PART VI: MATHEMATICAL ASPECTS;372
12.8;CHAPTER 27. THE NONLINEAR DYNAMICS OF THE CLASSICAL FEW BODY PROBLEM;374
12.8.1;1. Introduction;374
12.8.2;2. Integrable and Nonintegrable systems,2,3);374
12.8.3;3. The Semiclassical Limit of Quantum Mechanics;378
12.8.4;4. Fluid Dynamics;380
12.8.5;5. References;383
12.9;CHAPTER 28. MATHEMATICAL AND COMPUTATIONAL METHODS;386
12.9.1;1. Introduction;386
12.9.2;2. Numerical methods;386
12.9.3;3. Mathematics;389
12.9.4;4. Physically motivated methods;390
12.9.5;5. Other comments;392
12.9.6;References;394
13;PART VII: STATISTICAL MECHANICS;396
14;CHAPTER 29. APPLICATION OF FEW-BODY METHODS TO STATISTICAL MECHANICS;398
14.1;1. Introduction;398
14.2;2. Many-body time delay;399
14.3;3. A time delay approach to statistical mechanics;401
14.4;4. Arrangement channel quantum mechanics and the kinetic theory of reacting mixtures;406
14.5;REFERENCES;409
15;CONTENTS OF CONTRIBUTED PAPERS VOLUME;412
16;AUTHOR INDEX;422