Morse / Feld / Feshbach Nuclear, Particle and Many Body Physics

1. Auflage 2013
ISBN: 978-1-4832-5958-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 954 Seiten, Web PDF

Nuclear, Particle and Many Body Physics, Volume II, is the second of two volumes dedicated to the memory of physicist Amos de-Shalit. The contributions in this volume are a testament to the respect he earned as a physicist and of the warm and rich affection he commanded as a personal friend. The book contains 41 chapters and begins with a study on the renormalization of rational Lagrangians. Separate chapters cover the scattering of high energy protons by light nuclei; approximation of the dynamics of proton-neutron systems; the scattering amplitude for the Gaussian potential; Coulomb excitation of decaying states; the and optical potential for pions propagating in nuclear matter. Subsequent chapters deal with topics such as the elastic scattering of protons from analog resonances; internal Compton scattering in a muonic atom with an excited nucleus; and a formal theory of finite nuclear systems. The book also includes a eulogy and recollections of Amos de-Shalit.

Autoren/Hrsg.

Morse, Philip M.

Feld, Bernard T.

Feshbach, Herman

Inhaltsverzeichnis

1;Front Cover;1
2;Nuclear, Particle and Many Body Physics;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;12
6;Eulogy;14
7;Recollections of Amos de-Shalit;18
8;List of Publications;22
9;Chapter 1. Renormalization of Rational Lagrangians;26
9.1;1. INTRODUCTION;26
9.2;2. REPRESENTATIONS OF S-MATRIX ELEMENTS;27
9.3;3. SUPERRENORMALIZABLE MODELS;31
9.4;4. RENORMALIZABLE MODELS;33
9.5;5. UNRENORMALIZABLE MODELS;37
9.6;APPENDIX A: NORMAL ORDERING;38
9.7;APPENDIX B: THE SUPERPROPAGATOR;39
9.8;REFERENCES;44
10;Chapter 2. On High-Energy Scattering by Nuclei—II;45
10.1;I. INTRODUCTION;46
10.2;II. THE EQUATIONS;48
10.3;III. CORRELATION FUNCTION;57
10.4;IV. RESULTS;69
10.5;V. CONCLUDING REMARKS;77
10.6;APPENDIX A: DERIVATION OF THE SECOND ORDER OPTICAL POTENTIAL;78
10.7;APPENDIX B;82
10.8;ACKNOWLEDGMENTS;83
10.9;REFERENCES;83
11;Chapter 3. The206Pb(t, p)208Pb and 210Pb(p, t)208Pb Reactions at 20 MeV;85
11.1;INTRODUCTION;85
11.2;EXPERIMENTAL METHOD;86
11.3;RESULTS;89
11.4;DISCUSSION;112
11.5;1p-1h STATES;112
11.6;CONCLUSIONS;137
11.7;ACKNOWLEDGMENTS;140
11.8;REFERENCES;140
12;Chapter 4. The Roton Model of Quartets in Nuclei;142
12.1;I. INTRODUCTION;142
12.2;II. QUARTET STRUCTURES IN NUCLEAR PHYSICS;143
12.3;III. THE ROTON AND PAIRON MODEL;146
12.4;IV. A SCHEMATIC MODEL;152
12.5;V. CONCLUSION;159
12.6;ACKNOWLEDGMENTS;160
12.7;REFERENCES;160
13;Chapter 5. Distribution Methods for Nuclear Energies, Level Densities, and Excitation Strengths;162
13.1;1. INTRODUCTION;162
13.2;2. MOMENT POLYNOMIALS;166
13.3;3. UNITARY GROUP DECOMPOSITIONS;169
13.4;4. THE DECOMPOSITION AND STRUCTURE OF THE HAMILTONIAN;177
13.5;5. GROUND-STATE AND LOW-LYING ENERGIES AND STRUCTURES;185
13.6;6. LEVEL DENSITIES;193
13.7;7. STRENGTH DISTRIBUTIONS;206
13.8;8. CONCLUSION;210
13.9;ACKNOWLEDGMENTS;212
13.10;REFERENCES;212
14;Chapter 6. Exponentially Small Scattering Amplitude in High Energy Potential Scattering;214
14.1;I. INTRODUCTION;214
14.2;II. THE GLAUBER-MOLIÈRE APPROXIMATION;215
14.3;III. THE LANDAU-LIFSHITZ APPROXIMATION;224
14.4;IV. SUMMARY;236
14.5;APPENDIX A;239
14.6;APPENDIX B;240
14.7;APPENDIX C;240
14.8;REFERENCES;242
15;Chapter 7. Coulomb Excitation of Particle-Unstable States;243
15.1;1. INTRODUCTION;243
15.2;2. GENERAL THEORY;247
15.3;3. QUALITATIVE DISCUSSION. APPROXIMATIONS;253
15.4;4. THE FUNCTIONS G(.) AND K(t' – t);260
15.5;5. THE ADIABATIC APPROXIMATION;263
15.6;6. CROSS SECTIONS;266
15.7;7. CONCLUSIONS;271
15.8;ACKNOWLEDGMENTS;272
15.9;REFERENCES;272
16;Chapter 8. Pions in Nuclear Matter—An Approach to the Pion–Nucleus Optical Potential;273
16.1;1. INTRODUCTION;274
16.2;2. FORMALISM;277
16.3;3. DENSITY EXPANSION OF THE OPTICAL POTENTIAL;283
16.4;4. THE OPTICAL POTENTIAL TO SECOND ORDER IN THE DENSITY — QUENCHING;290
16.5;5. THE OPTICAL POTENTIAL TO SECOND ORDER IN THE DENSITY — DISPERSION AND ABSORPTION;299
16.6;6. SUMMARY;314
16.7;ACKNOWLEDGMENTS;316
16.8;REFERENCES;316
17;Chapter 9. Resonant Elastic Scattering of Protons from Analog and Compound States;318
17.1;1. INTRODUCTION;318
17.2;2. HORIZONS;319
17.3;3. DEVELOPMENT;320
17.4;4. BEHAVIOUR OF QUANTITIES AVERAGED OVER ENERGY;326
17.5;APPENDIX 1;332
17.6;APPENDIX 2;334
17.7;ACKNOWLEDGMENT;335
17.8;REFERENCES;335
18;Chapter 10. Group Theory and Second Quantization for Nonorthogonal Orbitals;336
18.1;1. INTRODUCTION;337
18.2;2. THE NONORTHOGONAL BASIS AND ITS DUAL;338
18.3;3. THE SECOND QUANTIZATION FORMALISM;339
18.4;4. GENERATORS OF THE LINEAR GROUP;341
18.5;5. THE GELFAND STATES AND THEIR CONSTRUCTION BY BOTH SPIN COUPLING AND LOWERING OPERATORS;343
18.6;6. SCALAR PRODUCTS OF n PARTICLE STATES;346
18.7;7. MATRIX ELEMENTS OF ONE AND TWO BODY OPERATORS;349
18.8;8. AN EXAMPLE: THE N = n = 3 CASE WITH APPLICATIONS TO THE H3 SYSTEM;352
18.9;9. CONCLUSION;358
18.10;ACKNOWLEDGMENTS;359
18.11;REFERENCES;359
19;Chapter 11. Finite Energy Sum Rules for Forward Compton Scattering;360
19.1;I. INTRODUCTION;360
19.2;II. KINEMATICS;362
19.3;III. THE SATURATION SCHEME;364
19.4;IV. MOVING POLE RESULTS;365
19.5;V. FIXED POLE RESULTS;370
19.6;VI. CONCLUSION;374
19.7;ACKNOWLEDGMENTS;374
19.8;REFERENCES;374
20;Chapter 12. Intensity Rules for Partial Widths of Deformed Analog Resonances;376
20.1;I. INTRODUCTION;376
20.2;II. INTRINSIC STATES IN THE LABORATORY AND VICE VERSA;379
20.3;III. ADIABATIC INTENSITY RULES AND SUM RULES;382
20.4;IV. NONADIABATIC EFFECTS;386
20.5;V. CONCLUDING REMARKS;388
20.6;APPENDIX: EVEN MASS SYSTEMS;389
20.7;REFERENCES;390
21;Chapter 13. Remarks on Muonic Atoms of Nuclear Isomers;391
21.1;I. INTRODUCTION;391
21.2;II. SKETCH OF CALCULATIONS;393
21.3;III. DISCUSSION;396
21.4;ACKNOWLEDGMENT;397
21.5;REFERENCES;397
22;Chapter 14. Operator Products at Almost Light Like Distances;398
22.1;I. INTRODUCTION;398
22.2;II. LIGHT CONE DOMINANCE;400
22.3;III. OPERATOR EXPANSIONS NEAR THE LIGHT CONE;401
22.4;IV. ALMOST LIGHT LIKE AND SHORT DISTANCE EXPANSIONS;403
22.5;V. TYPES OF SINGULARITIES;405
22.6;VI. MATRIX ELEMENTS OF PRODUCTS OF CURRENTS: ASYMPTOTIC REGIONS;408
22.7;ACKNOWLEDGMENTS;413
22.8;REFERENCES;413
23;Chapter 15. Formal Theory of Finite Nuclear Systems;415
23.1;I. INTRODUCTION;415
23.2;II. GENERALIZATION OF HF THEORY BY DIVISION OF THE HILBERT SPACE INTO LOW AND HIGH ENERGY DYNAMICAL PARTS;416
23.3;III. DEFINITION OF THE EFFECTIVE INTERACTION AND INDUCTION OF THE EFFECTIVE HAMILTONIAN;420
23.4;IV. THE EFFECTIVE HAMILTONIAN AS BASIS FOR THE SHELL MODEL;422
23.5;V. THE TOTAL ENERGY;425
23.6;VI. OTHER OBSERVABLES;427
23.7;VII. FINAL REMARKS;428
23.8;REFERENCES;428
24;Chapter 16. An Apparatus of the NBC Type and the Physics Results Obtained;430
24.1;NOMENCLATURE;430
24.2;SUMMARY;431
24.3;1. INTRODUCTION;432
24.4;2. THE MPNBC SETUP;434
24.5;3. REVIEW OF THE PHYSICS RESULTS OBTAINED;442
24.6;4. DATA UNDER ANALYSIS;465
24.7;5. RUNNING EXPERIMENT;467
24.8;6. CONCLUSIONS;470
24.9;REFERENCES;470
25;Chapter 17. Factorization in High Energy Hadron Collisions;474
25.1;1. INTRODUCTION;474
25.2;2. CROSSED CHANNEL FACTORIZATION;476
25.3;3. DIRECT CHANNEL FACTORIZATION;477
25.4;4. FACTORIZATION AND UNITARITY CONDITION IN THE DIRECT CHANNEL;479
25.5;REFERENCES;480
26;Chapter 18. Analysis of Separation Energies;482
26.1;I. INTRODUCTION;482
26.2;II. RELEVANT HARTREE–FOCK FORMALISM;483
26.3;III. THE SIMPLE PICTURE: KOOPMANS' THEOREM;484
26.4;IV. ORBITAL REARRANGEMENT ENERGY;485
26.5;V. PERTURBATION EXPANSION;486
26.6;VI. BRUECKNER REARRANGEMENT;487
26.7;VII. HARTREE–FOCK WITH PERTURBATION CORRECTIONS;490
26.8;VIII. DETAILS OF THIS CALCULATION;496
26.9;IX. RESULTS;498
26.10;X. CONCLUSION;503
26.11;ACKNOWLEDGMENTS;503
26.12;REFERENCES;504
27;Chapter 19. Semiclassical Theory of a Nuclear Josephson Effect in Reactions between Heavy Ions;505
27.1;1. INTRODUCTION;505
27.2;2. GENERAL THEORY;506
27.3;3. SCHEMATIC MODEL OF A NUCLEAR JOSEPHSON JUNCTION;516
27.4;4. SUMMARY AND DISCUSSION;531
27.5;ACKNOWLEDGMENTS;533
27.6;REFERENCES;533
28;Chapter 20. Coherent Production of Pions;534
28.1;I. INTRODUCTION;534
28.2;II. THE COHERENT STATE;536
28.3;III. EMISSION OF A COHERENT STATE;540
28.4;IV. CHARGE AND PARITY;544
28.5;V. ISOSPIN ANALYSIS OF IDENTICAL PIONS;547
28.6;VI. ISOSPIN ANALYSIS OF COHERENT PIONS;551
28.7;VII. DISCUSSION AND SUMMARY;557
28.8;ACKNOWLEDGMENTS;565
28.9;REFERENCES;565
29;Chapter 21. Elementary Algebra of the Euclidean Group, with Application to Magnetic Charge Quantization;567
29.1;1. INTRODUCTION;567
29.2;2. NEW DERIVATION;569
29.3;ACKNOWLEDGMENT;572
29.4;REFERENCES;572
30;Chapter 22. Measurements and Models of the Level Structure of 42Sc;573
30.1;1. INTRODUCTION;573
30.2;2. THE 42Ca(3He, t) 42Sc EXPERIMENT;575
30.3;3. PROPOSED LEVEL SCHEME FOR 42SC;583
30.4;4. WEAK COUPLING MODEL FOR 4P-2H STATES OF 42SC;587
30.5;5. COMPARISON OF WEAK COUPLING STATES, SHELL MODEL CALCULATIONS AND EXPERIMENTAL RESULTS;591
30.6;6. ODD PARITY 3P-1H, . = 0 STATES IN 42SC;596
30.7;7. SUMMARY AND CONCLUSIONS;598
30.8;ACKNOWLEDGMENTS;599
30.9;APPENDIX I: COMMENTS ON LEVEL ASSIGNMENTS MADE IN THE PROPOSED LEVEL SCHEME OF TABLE II ARE PRESENTED BELOW;600
30.10;REFERENCES;601
31;Chapter 23. Partons and Their Applications at High Energies;603
31.1;I. PARTONS AND THE IMPULSE APPROXIMATION;603
31.2;II. WEE VERSUS HARD PARTONS;607
31.3;III. CHOICE OF "INFINITE MOMENTUM" COORDINATE SYSTEMS;613
31.4;IV. ROLE OF "WEE" PARTONS;622
31.5;V. MASSIVE LEPTON PAIR PRODUCTION IN HADRON–HADRON COLLISIONS AT VERY HIGH ENERGIES;627
31.6;VI. LIGHT CONE BEHAVIOR;642
31.7;CONCLUSION;646
31.8;REFERENCES;647
32;Chapter 24. Core Polarization and the Effective Interaction between Nucleons in a Nucleus;649
32.1;INTRODUCTION;649
32.2;CORE POLARIZATION TO ALL ORDERS;652
32.3;COMPUTATIONAL DETAILS;660
32.4;RESULTS OF CALCULATIONS;663
32.5;SUMMARY AND DISCUSSION;669
32.6;APPENDIX: RPA AND [RPA];672
32.7;ACKNOWLEDGMENTS;675
32.8;REFERENCES;675
33;Chapter 25. Composite Models of the Baryons and Electromagnetic Decays;676
33.1;I. INTRODUCTION;676
33.2;II. DESCRIPTION OF MODELS;678
33.3;III. RESULTS AND CONCLUSIONS;692
33.4;ACKNOWLEDGMENTS;697
33.5;REFERENCES;697
34;Chapter 26. Hindrance Phenomena in Unique First- and Third-Forbidden ß-Decay;699
34.1;I. INTRODUCTION;699
34.2;II. THE EXPERIMENTAL DATA;701
34.3;III. SIMPLE SHELL MODEL ESTIMATES;705
34.4;IV. FIRST ORDER PERTURBATION THEORY;710
34.5;V. NUMERICAL RESULTS;715
34.6;VI. CONCLUSIONS;718
34.7;ACKNOWLEDGMENTS;720
34.8;REFERENCES;720
35;Chapter 27. Study of the 1.704 MeV 1+ State in 206Pb;722
35.1;I. INTRODUCTION;722
35.2;II. EXPERIMENTAL PROCEDURES AND RESULTS;723
35.3;III. DISCUSSION;727
35.4;ACKNOWLEDGMENT;729
35.5;REFERENCES;729
36;Chapter 28. Transfer Reactions Below the Coulomb Barrier;730
36.1;1. INTRODUCTION;730
36.2;2. THEORY;732
36.3;3. EXPERIMENT;733
36.4;4. RESULTS AND DISCUSSION;742
36.5;5. CONCLUSION;744
36.6;REFERENCES;745
37;Chapter 29. Validity of the Sopkovich Approximation;746
37.1;INTRODUCTION;746
37.2;II. THEORETICAL BACKGROUND;747
37.3;III. NUMERICAL CALCULATIONS;749
37.4;IV. INTERPRETATION AND IMPLICATIONS;758
37.5;ACKNOWLEDGMENTS;762
37.6;REFERENCES;762
38;Chapter 30. Strangeness Analog Resonances;763
38.1;I. INTRODUCTION;763
38.2;II. EXCITATION ENERGIES AND WIDTHS OF STRANGENESS ANALOG STATES;766
38.3;III. EXCITATION AND COLLECTIVE FEATURES OF STRANGENESS ANALOG STATES;769
38.4;IV. STRANGENESS ANALOG STATES IN THE SAKATA MODEL;774
38.5;V. THE VALIDITY OF SAKATA SYMMETRY; CONCLUSIONS;777
38.6;ACKNOWLEDGMENT;781
38.7;REFERENCES;781
39;Chapter 31. Properties of the Breaking of Hadronic Internal Symmetry;783
39.1;I. INTRODUCTION;783
39.2;II. THE INTERNAL SYMMETRY OF HADRONS;784
39.3;III. G-INVARIANT ALGEBRAS;788
39.4;IV. EXTENSION BY THE DISCRETE SYMMETRIES C, P, CP;793
39.5;V. THE ACTION OF THE INTERNAL SYMMETRY GROUP ON THE UNIT SPHERES OF THEIR REPRESENTATION SPACES;794
39.6;VI. FINAL REMARKS;802
39.7;APPENDIX 1: TENSOR OPERATORS;803
39.8;ACKNOWLEDGMENTS;807
39.9;REFERENCES;808
40;Chapter 32. Two Body Contribution to the Effective Radius Operator;809
40.1;ACKNOWLEDGMENT;813
40.2;REFERENCES;814
41;Chapter 33. A Discussion of the Role of Dispersion Effects on Isotopic Charge Density Variations;815
41.1;ACKNOWLEDGMENT;821
41.2;REFERENCES;821
42;Chapter 34. The Spectra of Near-Magic Odd-Odd Nuclei and the Effective Interaction;823
42.1;THE EXPERIMENTAL DATA;824
42.2;COMPARISON OF MULTIPLETS;827
42.3;MULTIPOLE DECOMPOSITION OF THE MULTIPLETS;831
42.4;CONCLUSIONS;833
42.5;ACKNOW^LEDGMENTS;833
42.6;REFERENCES;833
43;Chapter 35. Investigation of the 3He(d, p)4He Reaction with Polarized Beam and Target at 430 keV;835
43.1;I. INTRODUCTION;835
43.2;II. FORMALISM AND MODEL ASSUMPTIONS;835
43.3;III. EXPERIMENTAL RESULTS;836
43.4;IV. ANALYSIS;839
43.5;V. DISCUSSION;839
43.6;REFERENCES;840
44;Chapter 36. Neutron Starquakes and Pulsar Speedup;841
44.1;QUADRUPOLAR DESCRIPTION OF STARQUAKES;842
44.2;STARQUAKE PREDICTIONS AND STELLAR MODELS;847
44.3;ENERGY RELEASE IN STARQUAKES;851
44.4;THE STRAIN IN THE CRUST;853
44.5;PLASTIC FLOW;856
44.6;OBSERVATIONAL TESTS AND FUTURE DEVELOPMENTS;858
44.7;ACKNOWLEDGMENT;859
44.8;REFERENCES;859
45;Chapter 37. An Algebra of Currents and Gradient Terms;861
45.1;THE HADRON SPECTRUM AND THE CURRENTS;862
45.2;C-NUMBER GRADIENT TERMS — A NEGATIVE RESULT;865
45.3;DISCUSSION;873
45.4;ACKNOWLEDGMENTS;879
45.5;REFERENCES;879
46;Chapter 38. Scaling Properties in Inelastic Electron Scattering with a Fixed Final Multiplicity;882
46.1;APPENDIX;887
46.2;REFERENCES;891
47;Chapter 39. Fresnel Diffraction in Deuterium;893
47.1;1. INTRODUCTION;893
47.2;2. THE DIFFRACTION PATTERN OF A NUCLEON;895
47.3;3. DIFFRACTION BY TWO NUCLEONS;900
47.4;4. DEUTERIUM CROSS SECTIONS;900
47.5;5. CONCLUSIONS;907
47.6;ACKNOWLEDGMENT;907
47.7;REFERENCES;908
48;Chapter 40. On the Diffraction Model of Transfer Reactions;909
48.1;I. INTRODUCTION;909
48.2;II. THE DIFFRACTION MODEL;910
48.3;III. EXACT COMPUTATION OF THE RADIAL INTEGRALS;914
48.4;IV. THE ASYMPTOTIC BEHAVIOUR OF THE COULOMB INTEGRALS;915
48.5;V. THE COMPUTATION OF THE CROSS SECTION;922
48.6;VI. CONCLUSIONS;926
48.7;APPENDIX;927
48.8;REFERENCES;929
49;Chapter 41. Evidence for Quartet Structures in the Nickel Region;930
49.1;I. INTRODUCTION;930
49.2;II. EXPERIMENTAL RESULTS AND DISCUSSION;933
49.3;III. CALCULATION OF 58Ni, 60Ni, AND 62Zn ENERGY LEVELS IN THE STRETCH SCHEME;941
49.4;IV. DISCUSSION;948
49.5;V. CONCLUSION;949
49.6;ACKNOWLEDGMENTS;950
49.7;REFERENCES;950
50;AUTHOR INDEX;952
51;SUBJECT INDEX;954