Benchmark calculations for 3H, 4He, 16O and 40Ca with ab-initio coupled-cluster theory

Abstract

We present ab-initio calculations for 3H, 4He, 16O, and 40Ca based on two-nucleon low-momentum interactions Vlowk within coupled-cluster theory. For 3H and 4He, our results are within 70 keV and 10 keV of the corresponding Faddeev and Faddeev-Yakubovsky energies. We study in detail the convergence with respect to the size of the model space and the single-particle basis. For the heavier nuclei, we report practically converged binding energies and compare with other approaches.

8 pages, 13 figures

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• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
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• Towards an ab initio covariant density functional for nuclear structure
• Convergence in the no-core shell model with low-momentum two-nucleon interactions
• Toward ab initio density functional theory for nuclei
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• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Lattice effective field theory calculations for A = 3,4,6,12 nuclei
• Universal properties of infrared oscillator basis extrapolations
• Broyden's Method in Nuclear Structure Calculations
• Solution of the center-of-mass problem in nuclear structure calculations
• New applications of renormalization group methods in nuclear physics
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• P-shell nuclei using Similarity Renormalization Group evolved three-nucleon interactions
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Generator-coordinate reference states for spectra and $0\nu \beta \beta$ decay in the in-medium similarity renormalization group
• Ab-initio computation of neutron-rich oxygen isotopes
• Extrapolation of nuclear structure observables with artificial neural networks
• Lattice methods for strongly interacting many-body systems
• Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Microscopic self-energy calculations and dispersive optical-model potentials
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• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
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• Spherical coupled-cluster theory for open-shell nuclei
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• Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei
• Application of complex-scaling method for few-body scattering
• Quantum Monte Carlo with Coupled-Cluster wave functions
• Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description
• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Effective Field Theory and Finite Density Systems
• Collective rotation from ab initio theory
• Nuclear Reactions from Lattice QCD
• Computation of spectroscopic factors with the coupled-cluster method
• Natural orbital description of the halo nucleus 6He
• First Measurement of the $B(E2;3/2^{-}\to 1/2^{-})$ Transition Strength in ${}^7$Be: Testing Ab Initio Predictions for $A=7$ Nuclei
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• Comment on "Ab Initio study of 40-Ca with an importance-truncated no-core shell model"
• Ab initio coupled-cluster and configuration interaction calculations for 16-O using V_UCOM
• Effective interactions and operators in no-core shell model
• The Long Journey from Ab Initio Calculations to Density Functional Theory for Nuclear Large Amplitude Collective Motion
• Summation of Parquet diagrams as an ab initio method in nuclear structure calculations
• Reply to Comment on ``Ab Initio Study of 40-Ca with an Importance Truncated No-Core Shell Model''
• Brueckner-Hartree-Fock and its renormalized calculations for finite nuclei
• How to renormalize coupled cluster theory
• Systematic study of infrared energy corrections in truncated oscillator spaces
• ${}^4$He energies and radii by the coupled-cluster method with many-body average potential
• Realistic shell-model calculations: current status and open problems
• Introduction of the one-body correlation operator in the unitary-model-operator approach
• Many-body interactions and nuclear structure
• Exactness of the normal-ordered two-body truncation of three-nucleon forces
• Ground-state energies and charge radii of ${}^4$He, ${}^{16}$O, ${}^{40}$Ca, and ${}^{56}$Ni in the unitary-model-operator approach
• Nuclei and chiral dynamics