Shell-model calculations and realistic effective interactions

Abstract

A review is presented of the development and current status of nuclear shell-model calculations in which the two-body effective interaction is derived from the free nucleon-nucleon potential. The significant progress made in this field within the last decade is emphasized, in particular as regards the so-called V-low-k approach to the renormalization of the bare nucleon-nucleon interaction. In the last part of the review we first give a survey of realistic shell-model calculations from early to present days. Then, we report recent results for neutron-rich nuclei near doubly magic 132Sn and for the whole even-mass N=82 isotonic chain. These illustrate how shell-model effective interactions derived from modern nucleon-nucleon potentials are able to provide an accurate description of nuclear structure properties.

71 pages, to be published in Progress in Particle and Nuclear Physics

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• Proton Particle-Neutron Hole States in 132Sb with a Realistic Interaction
• Bonn Potential and Shell-Model Calculations for 206,205,204Pb
• Comparison of the Effective Interaction to Various Orders in Different Mass Regions
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• Nuclear Structure Calculations with Low-Momentum Potentials in a Model Space Truncation Approach
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• Structure of particle-hole nuclei around 100Sn
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Cited by in corpus (77)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Effective shell-model hamiltonians from realistic nucleon-nucleon potentials within a perturbative approach
• Effects of symmetry breaking in finite quantum systems
• The Neutron-Rich Edge of the Nuclear Landscape. Experiment and Theory
• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Novel shell-model analysis of the ${}^{136}$Xe double beta decay nuclear matrix elements
• Chiral three-nucleon interaction and the carbon-14 dating beta decay
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• Limits on the spin-dependent WIMP-nucleon cross-sections from the first science run of the ZEPLIN-III experiment
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Similarity of nuclear structure in 132Sn and 208Pb regions: proton-neutron multiplets
• Renormalization of the GT operator within the realistic shell model
• Isomeric states close to doubly magic ${}^{132}$Sn studied with JYFLTRAP
• Effective double-beta-decay operator for 76Ge and 82Se
• Benchmarking nuclear models for Gamow-Teller response
• Shell-model coupled-cluster method for open-shell nuclei
• Shell-model calculations for neutron-rich carbon isotopes with a chiral nucleon-nucleon potential
• Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Realistic shell-model calculations for isotopic chains "north-east'' of 48Ca in the (N,Z) plane
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Importance-Truncated Large-Scale Shell Model
• Study of neutron-rich calcium isotopes with a realistic shell-model interaction
• Shell-model study of quadrupole collectivity in light tin isotopes
• A self-consistent study of multipole response in neutron-rich nuclei using a modified realistic potential
• g9/2 nuclei and neutron-proton interaction
• Corrections to the Neutrinoless Double-Beta-Decay Operator in the Shell Model
• Stochastic Estimation of Nuclear Level Density in the Nuclear Shell Model: An Application to Parity-Dependent Level Density in ${}^{58}$Ni
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Evolution of single-particle states beyond ${}^{132}$Sn
• Double-step truncation procedure for large-scale shell-model calculations
• Novel Penning-trap techniques reveal isomeric states in ${}^{128}$In and ${}^{130}$In for the first time
• Effective interactions for light nuclei: an effective (field theory) approach
• Symmetries of the Similarity Renormalization Group for Nuclear Forces
• Is Seniority a Partial Dynamic Symmetry in the First $\nu g_{9/2}$ Shell?
• Shell-model study of the N=82 isotonic chain with a realistic effective hamiltonian
• Continuum and three-nucleon force in Borromean system: The 17Ne case
• Shell-model study of exotic Sn isotopes with a realistic effective interaction
• Behavior of odd-even mass staggering around 132Sn
• Implicit vs Explicit Renormalization and Effective Interactions
• The impact of the off-diagonal cross-shell interaction on ${}^{14}$C
• The many-body Green function of degenerate systems
• Recent progress in configuration-interaction shell model
• Shell-model interactions from chiral effective field theory
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• Effective interactions and operators in no-core shell model
• Error Analysis of Nuclear Matrix Elements
• Unitarity potentials and neutron matter at the unitary limit
• Generalized Seniority on Deformed Single-Particle Basis
• Realistic shell-model calculations and exotic nuclei
• The Rayleigh-Schrödinger perturbation series of quasi-degenerate systems
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Two-neutron transfer in Sn isotopes beyond the N = 82 shell closure
• Study of structure and radii for ${}^{20-31}$Na isotopes using microscopic interactions
• Many-body effects in (p,pN) reactions within a unified approach
• Shell-model interpretation of high-spin states in 134-I
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• Shell-model study of single-neutron strength fragmentation in 137Xe
• Shell-model calculations in 132Sn and 208Pb regions with low-momentum interactions
• Short-range correlations for neutrinoless double-beta decay and low-momentum NN potentials
• Realistic shell-model calculations: current status and open problems
• Configuration Interactions Constrained by Energy Density Functionals
• Configuration interaction relativistic Hartree-Fock model
• Realistic shell-model calculations for neutron-rich calcium isotopes
• Recursion Method for Deriving Energy-Independent Effective Interaction
• Role of Three-Nucleon Forces in Neutron-Rich Nuclei Beyond 132Sn
• From Kuo-Brown to today's realistic shell-model calculations
• Formulation of effective interaction in terms of renormalized vertices and propagators
• Core polarization, Brown-Rho scaling and a memory of Gerry's Princeton years
• Fully microscopic shell-model calculations with realistic effective hamiltonians
• A glimpse into an effective world
• Many-body perturbation theory for strongly correlated effective Hamiltonians using effective field theory methods
• Nucleon-anti-nucleon intruder state of Dirac equation for nucleon in deep scalar potential well