Discrete and continuum spectra in the unified shell model approach

Abstract

A new version of the nuclear shell model unifies the consideration of the discrete spectrum, where the results agree with the standard shell model, and continuum. The ingredients of the method are the non-Hermitian effective Hamiltonian, energy-dependent one-body and two-body decay amplitudes, and self-consistent treatment of thresholds. The results for helium and oxygen isotope chains well reproduce the data.

4 pages, 2 figures

References in corpus (5)

• Two-Particle Resonant States in a Many-Body Mean Field
• Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
• Effective non-Hermitian Hamiltonian and continuum shell model
• Study of the ${}^{7}Be(p,\gamma {)}^{8}B$ and ${}^{7}Li(n,\gamma {)}^{8}Li$ capture reactions using the shell model embedded in the continuum
• "Super-radiance" and the width of exotic baryons

Cited by in corpus (82)

• Non-Hermitian Physics
• Coupled-cluster computations of atomic nuclei
• Evolution of shell structure in exotic nuclei
• Microscopic Clustering in Light Nuclei
• Shell Model in the Complex Energy Plane
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
• Structure of ${}^{78}$Ni from first principles computations
• Continuum Shell Model
• The N = 16 spherical shell closure in 24O
• Super-Radiant Dynamics, Doorways, and Resonances in Nuclei and Other Open Mesoscopic Systems
• Superradiance Transition in Transport Through Nanosystems
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Gamow shell model and realistic nucleon-nucleon interactions
• The ${}^8$He and ${}^{10}$He spectra studied in the $(t$,$p)$ reaction
• Ab initio computation of the 17F proton-halo state and resonances in A = 17 nuclei
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Living on the edge of stability, the limits of the nuclear landscape
• Continuum effects in neutron-drip-line oxygen isotopes
• Dineutron structure in ${}^8$He
• Resonances of 7He in the complex scaling method
• Ab initio Gamow in-medium similarity renormalization group with resonance and continuum
• Gamow shell model description of proton scattering on ${}^{18}$Ne
• Description of the proton and neutron radiative capture reactions in the Gamow shell model
• Structure of unbound neutron-rich ${}^9$He studied using single-neutron transfer
• New insight into the low-energy ${}^9$He spectrum
• Problems with interpretation of ${}^{10}$He ground state
• Open system of interacting fermions: Statistical properties of cross sections and fluctuations
• Five-body resonances of 8He using the complex scaling method
• Interplay of superradiance and disorder in the Anderson Model
• Non-Hermitian Stark Many-Body Localization
• Spherical coupled-cluster theory for open-shell nuclei
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Subradiant hybrid states in the open 3D Anderson-Dicke model
• Ab initio calculations of nuclear widths via an integral relation
• Unbound spectra of neutron-rich oxygen isotopes predicted by the Gamow shell model
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Chiral three-nucleon force and continuum for dripline nuclei and beyond
• Antibound States and Halo Formation in the Gamow Shell Model
• Five-body resonances of 8C using the complex scaling method
• One-neutron removal strength of 7He into 6He using the complex scaling method
• Electric multipole response of the halo nucleus ${}^6$He
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• $p$-$sd$ shell gap reduction in neutron-rich systems and cross-shell excitations in ${}^{20}$O
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Single-neutron knockout from ${}^{20}\text{C}$ and the structure of ${}^{19}\text{C}$
• Doorway states in nuclear reactions as a manifestation of the "super-radiant" mechanism
• Internal chaos in an open quantum system: From Ericson to conductance fluctuations
• Description of the 17F(p,gamma)18Ne radiative capture reaction in the continuum shell model
• Calculation of the Thomas-Ehrman shift in ${}^{16}$F and ${}^{15}$O(p,p) cross section with the Gamow shell model
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Spectroscopy of 9C via resonance scattering of protons on 8B
• Lifetime of 26S and a limit for its 2p decay energy
• Four-body resonances of 7B using the complex scaling method
• Superradiance Transition and Nonphotochemical Quenching in Photosynthetic Complexes
• Neutron occupancy of the 0d5/2 orbital and the N=16 shell closure in 24O
• Non-Hermitian approach for modeling of noise-assisted quantum electron transfer in photosynthetic complexes
• The Lowest Broad Alpha Cluster Resonances in ${}^{19}$F
• Noise-assisted quantum electron transfer in photosynthetic complexes
• Search for particle-bound 26-O and 28-F in p-stripping reactions
• An optimum Hamiltonian for non-Hermitian quantum evolution and the complex Bloch sphere
• Investigation of contributions of the $2_2^{+}$ resonance in ${}^6$He via analysis of ${}^6$He($p$, $p^{\prime }$)
• First measurement of the 2.4 and 2.9 MeV ${}^6$He three-cluster resonant states via the ${}^3$H(${}^4$He,p$\alpha$)2n four-body reaction
• Perspectives on few-body cluster structures in exotic nuclei
• Progress and challenges in the theory of nuclei
• Possible Role of Interference and Sink Effects in Nonphotochemical Quenching in Photosynthetic Complexes
• A Vision for the Science of Rare Isotopes
• Investigation of the 19Na via resonance elastic scattering
• Non-Hermitian description of a superconducting phase qubit measurement
• Large-amplitude Qn-Qp collectivity in the neutron-rich oxygen isotope 20O
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• Superradiance Transition in Graphene
• Non-Hermitian Adiabatic Quantum Optimization
• Exploring the neutron dripline two neutrons at a time: The first observations of the 26O and 16Be ground state resonances
• Direct observation of three-neutron emission from ${}^7$He${}^{\ast }$ and the search for the trineutron
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation
• Neutron-pair structure in the continuum spectrum of ${}^{26}$O
• Structure evolution of ground and excited states in the exotic nucleus ${}^{22}$Al
• Nuclear Astrophysics in Rare Isotope Facilities
• Nonlinear relativistic mean-field theory studies on He isotopes