Computational and Group-Theoretical Methods in Nuclear Physics: proceedings of the Symposium in honor of Jerry P. Draayer’s 60th birthday: 18-21 February 2003, Playa del Carmen, Mexico

Jutta Escher, SYMPOSIUM ON COMPUTATIONAL AND GROUP-THE, J. P. Draayer, Octavio Castanos, Jorge G. Hirsch, Stuart Pittel, Gergana Stoitcheva9789812385963, 981-238-596-7

The purpose of this February 2003 symposium was to honor the achievements of Professor Jerry P. Drayer on his sixtieth birthday, and to discuss computational and algebraic approaches to the nuclear many-body problem. The papers in these proceedings therefore have general themes of SU(3) and symplectic models and their implications, random Hamiltonians, pseudo-spin in nuclear physics, collective phenomena, computational physics and large-scale models, and mathematical physics. Special topics include a toy model for QCD at low and high temperatures and vacuum, and matter, antimatter and the problem of cold compression. The proceedings include summaries of papers presented at the poster session.

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Table of contents :
Contents……Page 22
Conference Photograph……Page 6
Conference Organization……Page 12
Preface K. T. Hecht……Page 16
Introduction J. Escher J.H. Hirsch, S. Pittel, O. Castanos, and G. Stoicheva……Page 20
I Opening Session……Page 26
The Work of Jerry P. Draayer M. Moshinsky……Page 28
Internal……Page 38
National/International……Page 39
Department……Page 40
II SU(3) and Symplectic Models and Their Applications……Page 42
1. Introduction……Page 44
2. The Mixed-Mode Concept……Page 47
3. Applications of the Theory……Page 50
4. Discussion……Page 52
References……Page 54
1. Introduction……Page 56
2. The Pseudo SU(3) Basis and Hamiltonian……Page 57
3. Some Representative Results……Page 58
4. Quasi SU(3) Symmetry……Page 61
References……Page 63
1. Introduction……Page 65
2. Quadrupole-Quadrupole Interaction in the SSM……Page 66
3. Partial Dynamical Symmetry in the SSM……Page 68
4.1. The 20Ne Example……Page 69
4.2. The 24Mg Example……Page 71
5. Concluding Remarks……Page 72
References……Page 73
III Random Hamiltonians……Page 74
Systematic Correlations and Chaos in Mass Formulae K Velcizquez, A. Frank, and J.G. Hirsch……Page 76
References……Page 84
1. Introduction……Page 85
2.1. The U(5)-SO(6) case……Page 86
2.2. The U(5)-SU(3) case……Page 89
3. Random interactions……Page 90
References……Page 92
IV Pseudo-Spin in Nuclear Physics……Page 94
1. Introduction……Page 96
2. Pseudospin Symmetry and the Dirac Hamiltonian……Page 97
3.1. General Potentials……Page 98
3.2. Spherically Symmetric Potentials……Page 99
4. Test of Realistic Eigenfunctions……Page 100
7. QCD Sum Rules……Page 102
References……Page 103
1. A symmetry triangle for the shell model……Page 105
2. Wigner’s SU(4) symmetry……Page 106
3. Pseudo-SU(4) symmetry……Page 108
4. Conclusion……Page 111
References……Page 112
V Collective Phenomena……Page 114
2. First Order Phase Transitional Behavior in Nuclei……Page 116
3.1. E-GOS Plots and Nuclear Phenomenology……Page 120
3.2. Wobbling Motion……Page 121
4. Conclusions……Page 122
References……Page 123
1. Introduction……Page 124
2. Three families of Exactly Solvable Pairing Models……Page 125
3. An electrostatic analogy for Pairing-like Models……Page 127
4. A new pictorial representation of nuclear superconductivity……Page 128
5. A new mechanism for sd dominance in the IBM……Page 130
References……Page 132
1. Introduction……Page 133
2. The isovector pairing Hamiltonian and the Sp(4) quasi-spin structure……Page 134
3. Exact solutions……Page 136
4. Discussion……Page 140
References……Page 141
1. Introduction……Page 142
2. The relativistic quasi-particle random phase approximat ion……Page 144
3. Applications in the O-region……Page 145
References……Page 150
1. Introduction……Page 151
2. Experimental methods……Page 153
3. Experimental results……Page 154
4. Discussion……Page 156
5. Shape Coexistence in 74Kr……Page 157
6. Conclusions……Page 158
References……Page 159
VI Computational Physics and Large-Scale Nuclear Models……Page 160
1. Nuclear epistemology……Page 162
2. A brief guide to nuclear structure……Page 163
3. Mixed or pure SU(3)-that is the question……Page 165
4.1. Collectivity and random interactions……Page 168
References……Page 169
1. Introduction……Page 171
2. Effective interactions and the shell model……Page 172
3. Nuclear Structure Calculations……Page 174
Acknowledgements……Page 177
References……Page 178
1. The nuclear many-body problem and coupled cluster theory……Page 179
2. Approach to Coupled-Cluster Theory……Page 181
3. Initial Results……Page 184
4. Perspectives……Page 185
References……Page 186
VII Mathematical Physics……Page 188
1. Introduction……Page 190
2. What is quasi-dynamical symmetry?……Page 191
3. The rigid rotor algebra as a quasi-dynamical symmetry of the soft-rotor model……Page 192
4. Effects of the spin-orbit interaction in the SU(3) model……Page 193
5. SU(3) quasi-dynamical symmetry and major shell mixing……Page 194
6. SU(3) quasi dynamical symmetry for a model with pairing interactions……Page 195
7. Concluding remarks……Page 197
References……Page 198
1. Introduction……Page 199
2. A Generalized Jaynes-Cummings Hamiltonian For Shape-Invariant Systems……Page 202
3.1. Quantum Oscillator as a Shape-invariant Potential……Page 203
3.2. Coherent States for Shape-Invariant Systems……Page 204
3.3. q-Coherent States……Page 205
References……Page 206
1. Physical motivation……Page 208
2. Introduction……Page 209
4. Wave functions and solitons……Page 210
5. Resonant states……Page 213
References……Page 216
VIII Special Topics……Page 218
1. Introduction……Page 220
2. Theoretical framework……Page 221
3. Structure of light nuclei containing antiprotons……Page 222
5. Life time, formation probability and signatures of SBNs……Page 223
6. Discussion and conclusions……Page 227
References……Page 228
1. Introduction……Page 229
2. The toy model……Page 230
3.1. The low lying meson spectrum……Page 233
3.2. Thermodynamic properties……Page 234
4. Conclusions……Page 236
References……Page 237
IX Poster Session……Page 238
Analysis of the 196Pt(d,t)195Pt Transfer Reaction in the Framework of the IBA and IBFA Models J. Barea, C. E. Alonso, and J. M. Arias……Page 240
References……Page 242
1. Pseudospin/Spin Symmetry and the Dirac Hamiltonian……Page 243
3. Summary and Conclusions……Page 244
References……Page 245
Finite Well Solution for the E(5) Hamiltonian M.A. Caprio……Page 246
References……Page 248
1. Introduction……Page 249
3. The decay rate……Page 250
References……Page 251
2. Coadjoint orbit theory……Page 252
References……Page 254
1. The level scheme……Page 255
Acknowledgments……Page 256
References……Page 257
Oblique-Basis Calculations for 44Ti V.G. Gueorguiev, J.P Draayer W.E. Omand, and C.W Johnson……Page 258
References……Page 260
Application of Ground-State Factorization to Nuclear Structure Problems T. Papenbrock and D.J. Dean……Page 261
References……Page 263
Microscopic Interpretation of the K = 0+2 and Kp = 2 Bands of Deformed Nuclei within the Framework of the Pseudo-SU(3) Shell Model G. Pova, A. Georgieva, and J.R Draayer……Page 264
References……Page 266
1. Sp(4) pairing model and its quantum extension……Page 267
2. q-Deformed Parameter and ‘Phase Transition’……Page 268
References……Page 269
Excited Bands in Odd-Mass Rare-Earth Nuclei C.E. Varaas, J.G. Hirsch, and J.R Draayer……Page 270
References……Page 272
The Geometry of the Pb Isotopes in a Configuration Mixing IBM C.E. Varaas, A. Frank, and P. Van Isacker……Page 273
References……Page 275
Photos from the Banquet……Page 276
List of Participants……Page 282