Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He

Abstract

We introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering technique. This new ab initio method, no-core shell model with continuum (NCSMC), leads to convergence properties superior to either NCSM or NCSM/RGM while providing a balanced approach to different classes of states. In the NCSMC, the ansatz for the many-nucleon wave function includes: i) a square-integrable A-nucleon component expanded in a complete harmonic oscillator basis; ii) a binary-cluster component with asymptotic boundary conditions that can properly describe weakly-bound states, resonances and scattering; and, in principle, iii) a three-cluster component suitable for the description of, e.g., Borromean halo nuclei and reactions with final three-body states. The Schroedinger equation is transformed into a system of coupled-channel integral-differential equations that we solve using a modified microscopic R-matrix formalism within a Lagrange mesh basis. We demonstrate the usefulness of the approach by investigating the unbound 7He nucleus.

16 pages, 10 figures

References in corpus (37)

• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Quantum Monte Carlo Calculations of Light Nuclei
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• From low-momentum interactions to nuclear structure
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Quantum Monte Carlo calculations of A=8 nuclei
• Ab initio calculation of the Hoyle state
• Recent developments in no-core shell-model calculations
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Quantum Monte Carlo calculations of $A=9,10$ nuclei
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Ab initio shell model with a genuine three-nucleon force for the p-shell nuclei
• Ab Initio Many-Body Calculations of n-3H, n-4He, p-{3,4}He, and n-10Be Scattering
• Continuum effects and three-nucleon forces in neutron-rich oxygen isotopes
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Quantum Monte Carlo calculations of neutron-alpha scattering
• Ab initio many-body calculations of nucleon-nucleus scattering
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Nuclear Structure in the Framework of the Unitary Correlation Operator Method
• Ab initio description of the exotic unbound 7He nucleus
• Ab initio many-body calculation of the 7Be(p,gamma)8B radiative capture
• Ab initio many-body calculations of the 3H(d,n)4He and 3He(d,p)4He fusion
• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Ab initio many-body calculations of nucleon scattering on 4He, 7Li, 7Be, 12C and 16O
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Three-body continuum states on a Lagrange mesh
• Ab initio many-body calculations of deuteron-4He scattering and 6Li states
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• Elastic proton scattering of medium mass nuclei from coupled-cluster theory
• Cluster form factor calculation in the ab initio no-core shell model
• Resonances of 7He in the complex scaling method
• 4He experiments can serve as a database for determining the three-nucleon force
• From nucleons to nuclei to fusion reactions
• No-Core Shell Model Analysis of Light Nuclei

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• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
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• ${}^3\mathrm{He}(\alpha ,\gamma ){}^7\mathrm{Be}$ and ${}^3\mathrm{H}(\alpha ,\gamma ){}^7\mathrm{Li}$ astrophysical $S$ factors from the no-core shell model with continuum
• From bound states to the continuum
• Ab initio many-body calculations of nucleon-4He scattering with three-nucleon forces
• Optical potentials for the rare-isotope beam era
• Unified description of ${}^6$Li structure and deuterium-${}^4$He dynamics with chiral two- and three-nucleon forces
• Light Neutron-Rich Hypernuclei from the Importance-Truncated No-Core Shell Model
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Probing Nuclear forces beyond the drip-line using the mirror nuclei ${}^{16}$N and ${}^{16}$F
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• Open-Shell Nuclei and Excited States from Multi-Reference Normal-Ordered Hamiltonians
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Quantifying uncertainties in neutron-alpha scattering with chiral nucleon-nucleon and three-nucleon forces
• A Predictive Theory for Elastic Scattering and Recoil of Protons from ${}^4$He
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Three-cluster dynamics within the ab initio no-core shell model with continuum: How many-body correlations and $\alpha$-clustering shape ${}^6$He
• Three-cluster dynamics within an ab initio framework
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Dissecting reaction calculations using Halo EFT and ab initio input
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• The nuclear force imprints revealed on the elastic scattering of protons with ${}^{10}$C
• Gamow shell model description of ${}^4$He($d$,$d$) elastic scattering reactions
• Nuclear Reactions from Lattice QCD
• Sensitivities and correlations of nuclear structure observables emerging from chiral interactions
• Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to p-shell nuclei
• Gamow Shell Model description of Li isotopes and their mirror partners
• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Ab initio informed evaluation of the radiative capture of protons on ${}^7$Be
• Natural orbital description of the halo nucleus 6He
• Microscopic investigation of the ${}^8$Li($n,\gamma$)${}^9$Li reaction
• Analysis of clustering phenomena in ab initio approaches
• Natural orbitals for the ab initio no-core configuration interaction approach
• Ab initio descriptions of $A=16$ mirror nuclei with resonance and continuum coupling
• Efficacy of the symmetry-adapted basis for ab initio nucleon-nucleus interactions for light- and intermediate-mass nuclei
• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
• Ground-state properties of light $4n$ self-conjugate nuclei in $ab$ $initio$ no-core Monte Carlo shell model calculations with nonlocal $NN$ interactions
• SS-HORSE Extension of the No-Core Shell Model: Application to Resonances in ${}^7\mathrm{H}e$
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
• Sensitivity of quasi-free reactions on details of the bound-state overlap functions
• Asymptotic characteristics of decay channels of light nuclei states in the ab initio approach
• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• Ab initio no-core shell model study of ${}^{18-23}$O and ${}^{18-24}$F isotopes
• Measurement of the full excitation spectrum of the 7Li(p,γ)αα reaction at 441 keV
• Alternative similarity renormalization group generators in nuclear structure calculations
• Calculations of $p(n,\gamma )d$ reaction in chiral effective field theory
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Ab initio investigation of the ${}^7$Li($p,e^{+}{e}^{-}$)${}^8$Be process and the X17 boson
• Calculating reactions with use of no-core shell-model states
• Perspectives on few-body cluster structures in exotic nuclei
• Ab initio calculations of reactions with light nuclei
• Harmonic-oscillator excitations of precise few-body wave functions
• Using spin alignment of inelastically-excited fast beams to make spin assignments: the spectroscopy of 13O as a test case
• High-Precision Ab Initio Radius Calculations of Boron Isotopes
• Gamow Shell Model description of ${}^{40}$Ca(d,p) transfer reaction
• Progress on Light-Ion Fusion Reactions with Three-Nucleon Forces
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
• Ab initio NCSM/RGM for three-body cluster systems and application to ${}^4$He+n+n
• Coupled-cluster computations of optical potential for medium-mass nuclei
• 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
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Towards the continuum coupling in nuclear lattice effective field theory I: A three-particle model
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• ${}^7$Li($d$,$p$)${}^8$Li transfer reaction in the NCSM/RGM approach
• Microscopic Theory of Nuclear Fission