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

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. 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 The symposium “Computational and Group-Theoretical Methods in Nuclear Physics” was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences The symposium "Computational and Group-Theoretical Methods in Nuclear Physics" was organized to celebrate the 60th birthday of Jerry P Draayer, who is Professor of Physics, Louisiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics. The proceedings have been selected for coverage in:. Index to Scientific & Technical Proceedings® (ISTP® / I "The symposium "Computational and Group-Theoretical Methods in Nuclear Physics" was organized to celebrate the 60th birthday of Jerry P. Draayer, who is Professor of Physics, Lousiana State University, and President of the Southeastern Universities Research Association (SURA). The focus of the meeting was on computational and algebraic approaches to the nuclear many-body problem. The presentations highlighted recent experimental and theoretical developments in nuclear structure physics."--BOOK JACKET.