Effective Interactions and Operators in Nuclei Proceedings of the Tucson International Topical Conference on Nuclear Physics Held at the University of Arizona, Tucson, June 2{u2013}6, 1975

An important motivation of our particular approach (I-3) is to realize degenerate perturbation theory as a natural extension of the well-known and successful linked-cluster expansion of non-degenerate perturbation theory. Gell-Mann and Low (4) showed that the true ground state I~> of a non-degenerate system could be developed adiabatically from the finite ratio of two singular terms Perturbation theory of effective Hamiltonians....Pages 1-24 Folded diagram theory, time-dependent approach of Johnson and Baranger....Pages 25-41 A time-dependent, diagrammatic analysis of effective interactions and operators....Pages 42-63 Determination of effective matrix elements from experimental data....Pages 64-79 How do we decide which unperturbed basis to use? What is the role of self-consistency?....Pages 80-95 Computation of the reaction matrix, G....Pages 96-118 Perturbation calculation in a double-partitioned Hilbert space....Pages 119-133 The average effective interaction....Pages 134-151 Algebraic structure of effective interactions and operators. Convergence properties of the perturbation expansions....Pages 152-167 Is there a universal relationship connecting all two-body effective interactions?....Pages 168-190 Relevant aspects of statistical spectroscopy....Pages 191-206 Infinite partial summations....Pages 207-227 Pade approximants and the calculation of effective interactions....Pages 228-249 Shell model diagonalizations in an expanded space....Pages 250-269 Density dependent interactions....Pages 270-295 Calculation of other effective operators....Pages 296-312 Theory versus theory as a test of the effective interaction....Pages 313-329 Summary Talk: Where do we stand at the present time regarding the microscopic theory of effective interactions and operators?....Pages 330-339