Continuum Shell Model

Abstract

The Continuum Shell Model is an old but recently revived method that traverses the boundary between nuclear many-body structure and nuclear reactions. The method is based on the non-Hermitian energy-dependent effective Hamiltonian. The formalism, interpretation of solutions and practical implementation of calculations are discussed in detail. The results of the traditional shell model are fully reproduced for bound states; resonance parameters and cross section calculations are presented for decaying states. Particular attention is given to one- and two-nucleon reaction channels including sequential and direct two-body decay modes. New calculations of reaction cross sections and comparisons with experimental data for helium and oxygen isotope chains are presented.

19 pages, 6 figures

References in corpus (12)

• The Shell Model as Unified View of Nuclear Structure
• Gamow Shell Model Description of Neutron-Rich Nuclei
• Two-Particle Resonant States in a Many-Body Mean Field
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Discrete and continuum spectra in the unified shell model approach
• Effective non-Hermitian Hamiltonian and continuum shell model
• Dynamics of quantum systems
• Proton-Neutron Coupling in the Gamow Shell Model: the Lithium Chain
• Microscopic theory of the two-proton radioactivity
• Effective Interaction Techniques for the Gamow Shell Model
• "Super-radiance" and the width of exotic baryons
• Exploring quantum dynamics in an open many-body system: Transition to superradiance

Cited by in corpus (75)

• Non-Hermitian Physics
• Radioactive decays at limits of nuclear stability
• Shell Model in the Complex Energy Plane
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Random Matrices and Chaos in Nuclear Physics: Nuclear Reactions
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Recent development of complex scaling method for many-body resonances and continua in light nuclei
• Evidence for the ground-state resonance of 26O
• Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Beyond the Neutron Drip-Line: The Unbound Oxygen Isotopes 25O and 26O
• Superradiance Transition in Transport Through Nanosystems
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Nilsson diagrams for light neutron-rich nuclei with weakly-bound neutrons
• Study of two-neutron radioactivity in the decay of 26O
• Quenching of spectroscopic factors for proton removal in oxygen isotopes
• Ab-initio computation of neutron-rich oxygen isotopes
• Toward understanding the microscopic origin of nuclear clustering
• Two-proton emission and related phenomena
• Continuum effects in neutron-drip-line oxygen isotopes
• Dineutron structure in ${}^8$He
• Structure and decays of nuclear three-body systems: the Gamow coupled-channel method in Jacobi coordinates
• Expanding Nuclear Physics Horizons with the Gamma Factory
• Open problems in theory of nuclear open quantum systems
• Correlated two-neutron emission in the decay of unbound nucleus 26O
• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• First observation of ${}^{13}$Li ground state
• Description of the proton and neutron radiative capture reactions in the Gamow shell model
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Open system of interacting fermions: Statistical properties of cross sections and fluctuations
• Non-Hermitian Stark Many-Body Localization
• Gamow shell model description of radiative capture reactions ${}^6$Li$(p,\gamma )$${}^7$Be and ${}^6$Li$(n,\gamma )$${}^7$Li
• Gamow shell-model calculations of drip-line oxygen isotopes
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Decay dynamics of the unbound ${}^{25}$O and ${}^{26}$O nuclei
• Three-body correlations in the ground-state decay of 26O
• Gamow Shell Model description of Li isotopes and their mirror partners
• Exceptional points in the scattering continuum
• Precise comparison of the Gaussian expansion method and the Gamow shell model
• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
• Quantum Tunneling and Scattering of a Composite Object: Revisited and Reassessed
• Exploring manifestation and nature of a dineutron in two-neutron emission using a dynamical dineutron model
• Internal chaos in an open quantum system: From Ericson to conductance fluctuations
• Two-Neutron Sequential Decay of ${}^{24}$O
• Closed-shell properties of ${}^{24}$O with {\em ab initio} coupled-cluster theory
• Three-body model calculation of the 2${}^{+}$ state in ${}^{26}$O
• Anomalous population of ${}^{10}$He states in reactions with ${}^{11}$Li
• Using Continuum Level Density in the Pairing Hamiltonian: BCS and Exact Solutions
• Superradiance Transition and Nonphotochemical Quenching in Photosynthetic Complexes
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• The Lowest Broad Alpha Cluster Resonances in ${}^{19}$F
• From nucleons to nuclei to fusion reactions
• One-particle properties of deformed N $\approx$ 28 odd-N nuclei with weakly-bound or resonant neutrons
• Weakly bound systems, continuum effects, and reactions
• Weakly-bound rare isotopes with a coupled-channel approach that includes resonant levels
• The Gamow-state description of the decay energy spectrum of neutron-unbound ${}^{25}$O
• Revisiting surface-integral formulations for one-nucleon transfers to bound and resonance states
• A Comparative Interpretation of the Thermodynamic Functions of a Relativistic Bound State problem proposed with an Attractive or a Repulsive Surface Effect
• Collectivity of the electromagnetic transitions in near-threshold resonances
• Perspectives on few-body cluster structures in exotic nuclei
• On the excluded space in applications of Feshbach projection formalism
• Continuum discretized BCS approach for weakly bound nuclei
• Pairing in the BCS and LN approximations using continuum single particle level density
• Helium nuclei around the neutron drip line
• Many Body Density of States of a system of non interacting spinless fermions
• Superradiance Transition in Graphene
• Channel cross-correlations in transport through complex media
• Exploring the neutron dripline two neutrons at a time: The first observations of the 26O and 16Be ground state resonances
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Neutron-pair structure in the continuum spectrum of ${}^{26}$O
• Astrophysical S-factor for ${}^6$Li$(p,\gamma )$${}^7$Be in the coupled-channel Gamow shell model
• Proton inelastic scattering reveals deformation in ${}^8$He