Emergent properties of nuclei from ab initio coupled-cluster calculations

Abstract

Emergent properties such as nuclear saturation and deformation, and the effects on shell structure due to the proximity of the scattering continuum and particle decay channels are fascinating phenomena in atomic nuclei. In recent years, ab initio approaches to nuclei have taken the first steps towards tackling the computational challenge of describing these phenomena from Hamiltonians with microscopic degrees of freedom. This endeavor is now possible due to ideas from effective field theories, novel optimization strategies for nuclear interactions, ab initio methods exhibiting a soft scaling with mass number, and ever-increasing computational power. This paper reviews some of the recent accomplishments. We also present new results. The recently optimized chiral interaction NNLO${}_{\mathrm{sat}}$ is shown to provide an accurate description of both charge radii and binding energies in selected light- and medium-mass nuclei up to ${}^{56}$Ni. We derive an efficient scheme for including continuum effects in coupled-cluster computations of nuclei based on chiral nucleon-nucleon and three-nucleon forces, and present new results for unbound states in the neutron-rich isotopes of oxygen and calcium. The coupling to the continuum impacts the energies of the $J^{\pi }={1/2}^{-},{3/2}^{-},{7/2}^{-},{3/2}^{+}$ states in ${}^{17,23,25}$O, and - contrary to naive shell-model expectations - the level ordering of the $J^{\pi }={3/2}^{+},{5/2}^{+},{9/2}^{+}$ states in ${}^{53,55,61}$Ca.

Contribution to the Special Physica Scripta Edition - 40 year anniversary - Nobel Prize '75, 27 pages, 7 figures

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• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Structure of the lightest tin isotopes
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• Structure of ${}^{78}$Ni from first principles computations
• Charge radii of exotic neon and magnesium isotopes
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Chiral EFT based nuclear forces: Achievements and challenges
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• What is ab initio in nuclear theory?
• Natural orbitals for ab initio no-core shell model calculations
• Microscopic optical potentials for calcium isotopes
• Continuum effects in neutron-drip-line oxygen isotopes
• New Ideas in Constraining Nuclear Forces
• Charge radii of ${}^{55,56}$Ni reveal a surprisingly similar behavior at $N=28$ in Ca and Ni isotopes
• Two-neutron halo structure of ${}^{31}$F
• Computing the dipole polarizability of 48Ca with increased precision
• An {\it ab-initio} Gamow shell model approach with a core
• Resonances of $A=4$ $T=1$ isospin triplet states within the \textit{ab initio} no-core Gamow shell model
• Emergence of simple patterns in many-body systems: from macroscopic objects to the atomic nucleus
• In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem
• Multiscale physics of atomic nuclei from first principles
• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Energy-density functionals inspired by effective-field theories: Applications to neutron drops
• Gamow Shell Model description of Li isotopes and their mirror partners
• Bayesian optimization in ab initio nuclear physics
• From bare interactions, low--energy constants and unitary gas to nuclear density functionals without free parameters: application to neutron matter
• Deformed in-medium similarity renormalization group
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
• Nuclear Structure from the In-Medium Similarity Renormalization Group
• Search for excited states in ${}^{25}$O
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• Ab initio computations from ${}^{78}$Ni towards ${}^{70}$Ca along neutron number $N=50$
• Quantum Monte Carlo in Configuration Space with Three-Nucleon Forces
• One-proton and one-neutron knockout reactions from $N=Z=28$ ${}^{56}$Ni to the $A=55$ mirror pair ${}^{55}$Co and ${}^{55}$Ni
• Neutron Shell Closure at N=32 and N=40 in Ar and Ca Isotopes
• Merging ab initio theory and few-body approach for $(d,p)$ reactions
• Computational Nuclear Physics and Post Hartree-Fock Methods
• Measurement of differential cross sections for deuteron-proton breakup reaction at 160 MeV
• Magnetic dipole transition in ${}^{48}$Ca
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Least-square approach for singular value decompositions of scattering problems
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Structure of odd-mass Ne, Na, and Mg nuclei
• Combined few-body and mean-field model for nuclei
• Translationally invariant matrix elements of general one-body operators
• Spectroscopic factor calculations in the \textit{ab initio} no-core shell model
• Shell Evolution in Neutron-rich Ge, Se, Kr and Sr Nuclei within RHB Approach
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• Revisiting the variational two-particle reduced density matrix for nuclear systems
• Microscopically based energy density functionals for nuclei using the density matrix expansion
• An Efficient Learning Method to Connect Observables
• Bridging reaction theory and nuclear structure in ${\pi }^{\pm }$-${}^{48}$Ca scattering
• Correlation between the nuclear structure and reaction dynamics of Ar-isotopes as projectile using the relativistic mean-field approach
• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei
• Singular Value Decomposition and Similarity Renormalization Group Evolution of Nuclear Interactions