Contents -- Conference Photograph -- Conference Organization -- Preface K. T. Hecht -- Introduction J. Escher J.H. Hirsch, S. Pittel, O. Castanos, and G. Stoicheva -- I Opening Session -- The Work of Jerry P. Draayer M. Moshinsky -- Administrative Positions -- Leadership Roles -- Internal -- External -- Committee Service -- Internal -- External -- Professional Service -- National/International -- Scientific Program Committees -- Organizing Committees -- State -- University -- College -- Department -- II SU(3) and Symplectic Models and Their Applications -- Computational and Group Theoretical Methods in Nuclear Physics J.P. Draayer -- 1. Introduction -- 2. The Mixed-Mode Concept -- 3. Applications of the Theory -- 4. Discussion -- References -- Pseudo + Quasi SU(3): Towards a Shell-Model Description of Heavy Deformed Nuclei J.G. Hirsch, C.E. Vargas, G. Popa, and J.P. Draayer -- 1. Introduction -- 2. The Pseudo SU(3) Basis and Hamiltonian -- 3. Some Representative Results -- 4. Quasi SU(3) Symmetry -- 5. Summary and Conclusions -- References -- Partial Dynamical Symmetry in Nuclear Systems J. Escher -- 1. Introduction -- 2. Quadrupole-Quadrupole Interaction in the SSM -- 3. Partial Dynamical Symmetry in the SSM -- 4. Applications -- 4.1. The 20Ne Example -- 4.2. The 24Mg Example -- 5. Concluding Remarks -- Acknowledgments -- References -- III Random Hamiltonians -- Systematic Correlations and Chaos in Mass Formulae K Velcizquez, A. Frank, and J.G. Hirsch -- References -- Shape Phase Transitions and Random Interactions R. Bijker -- 1. Introduction -- 2. Phase transitions -- 2.1. The U(5)-SO(6) case -- 2.2. The U(5)-SU(3) case -- 2.3. The SU(3)-SO(6) case -- 3. Random interactions -- 4. Summary and conclusions -- Acknowledgments -- References -- IV Pseudo-Spin in Nuclear Physics -- Pseudospin as a Relativistic Symmetry in Nuclei J.N. Ginocchio.

1. Introduction -- 2. Pseudospin Symmetry and the Dirac Hamiltonian -- 3. Pseudospin Symmetry Conditions on the Dirac Eigenstat es -- 3.1. General Potentials -- 3.2. Spherically Symmetric Potentials -- 4. Test of Realistic Eigenfunctions -- 5. Magnetic dipole and Gamow-Teller Transitions -- 6. Nucleon-Nucleus Scattering -- 7. QCD Sum Rules -- 8. Summary and the Future -- Acknowledgments -- References -- Pseudo-Spin Symmetry in Nuclei P. Van Isacker -- 1. A symmetry triangle for the shell model -- 2. Wigner's SU(4) symmetry -- 3. Pseudo-SU(4) symmetry -- 4. Conclusion -- Acknowledgements -- References -- V Collective Phenomena -- Shape Evolution in Nuclei R.F. Casten -- 1. Introduction -- 2. First Order Phase Transitional Behavior in Nuclei -- 3. Structural Change With Spin -- 3.1. E-GOS Plots and Nuclear Phenomenology -- 3.2. Wobbling Motion -- 4. Conclusions -- Acknowledgments -- References -- New Exactly Solvable Models of Interacting Bosons and Fermions J. Dukelsky C. Esebbag, and S. Pittel -- 1. Introduction -- 2. Three families of Exactly Solvable Pairing Models -- 3. An electrostatic analogy for Pairing-like Models -- 4. A new pictorial representation of nuclear superconductivity -- 5. A new mechanism for sd dominance in the IBM -- 6. Summary -- References -- Exact Solutions of the Isovector Pairing Interaction F. Pan and J.P Draayer -- 1. Introduction -- 2. The isovector pairing Hamiltonian and the Sp(4) quasi-spin structure -- 3. Exact solutions -- 4. Discussion -- References -- Relativistic RPA and Applications to New Collective Modes in Nuclei P. Ring N. Paar T. Nikvsic, and D. Vretenar -- 1. Introduction -- 2. The relativistic quasi-particle random phase approximat ion -- 3. Applications in the O-region -- References -- Superallowed Beta Decay of 74Rb and Shape Coexistence in 74Kr: A Test of the Standard Model E.E Zaaniar and A. Piechaczek.

1. Introduction -- 2. Experimental methods -- 3. Experimental results -- 4. Discussion -- 5. Shape Coexistence in 74Kr -- 6. Conclusions -- Acknowledgements -- References -- VI Computational Physics and Large-Scale Nuclear Models -- Collectivity, Chaos, and Computers C. W. Johnson -- 1. Nuclear epistemology -- 2. A brief guide to nuclear structure -- 3. Mixed or pure SU(3)-that is the question -- 4. Persistence of collectivity -- 4.1. Collectivity and random interactions -- 5. Conclusion -- Acknowledgements -- References -- Large-Scale Computations Leading to a First-Principles Approach to Nuclear structure W.E. Ormand and P. Navratil -- 1. Introduction -- 2. Effective interactions and the shell model -- 3. Nuclear Structure Calculations -- 4. Conclusions -- Acknowledgements -- References -- Computational Challenges of Quantum Many-Body Problems in Nuclear Structure: Coupled-Cluster Theory D. J. Dean -- 1. The nuclear many-body problem and coupled cluster theory -- 2. Approach to Coupled-Cluster Theory -- 3. Initial Results -- 4. Perspectives -- Acknowledgements -- References -- VII Mathematical Physics -- Embedded Representations and Quasi-Dynamical Symmetry D.J. Rowe -- 1. Introduction -- 2. What is quasi-dynamical symmetry? -- 3. The rigid rotor algebra as a quasi-dynamical symmetry of the soft-rotor model -- 4. Effects of the spin-orbit interaction in the SU(3) model -- 5. SU(3) quasi-dynamical symmetry and major shell mixing -- 6. SU(3) quasi dynamical symmetry for a model with pairing interactions -- 7. Concluding remarks -- References -- Shape-Invariance and Exactly Solvable Problems in Quantum Mechanics A.B. Balantekin -- 1. Introduction -- 2. A Generalized Jaynes-Cummings Hamiltonian For Shape-Invariant Systems -- 3. Coherent States for the Quantum Oscillator and Ramanujan Integrals -- 3.1. Quantum Oscillator as a Shape-invariant Potential.

3.2. Coherent States for Shape-Invariant Systems -- 3.3. q-Coherent States -- References -- Nonlinear Resonant States and Scattering in a One-Dimensional BEC-model A. Ludu -- 1. Physical motivation -- 2. Introduction -- 3. Gross-Pitaevskii equation -- 4. Wave functions and solitons -- 5. Resonant states -- Acknowledgments -- References -- VIII Special Topics -- Vacuum, Matter, Antimatter and the Problem of Cold Compression W. Greiner and T. Buervenich -- 1. Introduction -- 2. Theoretical framework -- 3. Structure of light nuclei containing antiprotons -- 4. Doubly-magic lead with antiproton and anti-alpha -- 5. Life time, formation probability and signatures of SBNs -- 6. Discussion and conclusions -- References -- A Toy Model for QCD at Low and High Temperatures S. Lerma H., S. Jesgarz, P.O. Hess. O. Civitarese, and M. Reboiro -- 1. Introduction -- 2. The toy model -- 3. Applications -- 3.1. The low lying meson spectrum -- 3.2. Thermodynamic properties -- 4. Conclusions -- Acknowledgment -- References -- IX Poster Session -- 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 -- References -- Nuclear Wave Functions for Spin and Pseudospin Partners P.J. Borycki, J. Ginocchio, W. Nazarewicz, and M. Stoitsov -- 1. Pseudospin/Spin Symmetry and the Dirac Hamiltonian -- 2. Comparison within the Harmonic Oscillator Model -- 3. Summary and Conclusions -- References -- Finite Well Solution for the E(5) Hamiltonian M.A. Caprio -- References -- Neutrinoless Double Electron Capture with Photon Emission V.E. Ceron and J. G. Hirsch -- 1. Introduction -- 2. Model Scheme -- 3. The decay rate -- 4. Conclusions -- References -- Symplectic Mean Field Theory J.L. Graber and G. Rosensteel -- 1. Introduction -- 2. Coadjoint orbit theory -- 3. Application to 20Ne -- 4. Conclusion.

References -- Structure of 159Gd C. Granja and D. Nosek -- 1. The level scheme -- 2. The quasiparticle-phonon model -- Acknowledgments -- References -- Oblique-Basis Calculations for 44Ti V.G. Gueorguiev, J.P Draayer W.E. Omand, and C.W Johnson -- References -- Application of Ground-State Factorization to Nuclear Structure Problems T. Papenbrock and D.J. Dean -- Acknowledgments -- References -- 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 -- Acknowledgments: -- References -- Sp(4) Dynamical Symmetry for Pairing Correlations and Higher-Order Interactions in Atomic Nuclei K.D. Sviratcheva, C. Bahri, A.I. Georgieva, and J.P. Draayer -- 1. Sp(4) pairing model and its quantum extension -- 2. q-Deformed Parameter and 'Phase Transition' -- Acknowledgments -- References -- Excited Bands in Odd-Mass Rare-Earth Nuclei C.E. Varaas, J.G. Hirsch, and J.R Draayer -- References -- The Geometry of the Pb Isotopes in a Configuration Mixing IBM C.E. Varaas, A. Frank, and P. Van Isacker -- References -- Photos from the Banquet -- List of Participants.