Ab initio calculations of monopole sum rules: From finite nuclei to infinite nuclear matter

Abstract

We compute moments of the isoscalar monopole response of N = Z closed-shell nuclei based on chiral nucleon-nucleon plus three-nucleon interactions. We employ the random phase approximation (RPA) and two ab initio many-body approaches, the in-medium similarity renormalization group (IMSRG) and coupled-cluster theory (CC). In the IMSRG framework, the moments are obtained as ground-state expectation values, whereas in the CC approach, they are evaluated through excited-state calculations. We find good agreement between the IMSRG and CC results across all nuclei studied. RPA provides a reasonable approximation to the correlated methods if the interaction is soft. From the calculated moments, we extract average energies of the monopole response, compute finite-nucleus incompressibilities, and estimate the incompressibility of symmetric nuclear matter by a fit to a leptodermous expansion. Our extrapolated values are lower than those obtained in nuclear matter calculations with the same interactions, but the values are consistent with phenomenological ranges.

arXiv comment14 pages, 6 figures, matches published version

References in corpus (46)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Theory of Core-Collapse Supernovae
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• Nuclear effective field theory: status and perspectives
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Nuclear Matter and its Role in Supernovae, Neutron Stars and Compact Object Binary Mergers
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• The Compression-Mode Giant Resonances and Nuclear Incompressibility
• In-Medium Similarity Renormalization Group for Nuclei
• Time-dependent density-functional description of nuclear dynamics
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Incompressibility in finite nuclei and nuclear matter
• Coupled-cluster theory for three-body Hamiltonians
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• The Magnus expansion and the in-medium similarity renormalization group
• Converged ab initio calculations of heavy nuclei
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Equation of state effects in core-collapse supernovae
• First principles description of the giant dipole resonance in 16O
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Multi-reference many-body perturbation theory for nuclei III -- Ab initio calculations at second order in PGCM-PT
• Electric dipole polarizability from first principles calculations
• Isospin dependence of incompressibility in relativistic and non-relativistic mean field calculations
• Nuclear Currents in Chiral Effective Field Theory
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Nuclear electromagnetic dipole response with the Self-Consistent Green's Function formalism
• Ab Initio Excited States from the In-Medium Similarity Renormalization Group
• Improved structure of calcium isotopes from ab initio calculations
• Zero- and finite-temperature electromagnetic strength distributions in closed- and open-shell nuclei from first principles
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Damping of the isovector giant dipole resonance in ${}^{40,48}$Ca
• Effects of nuclear matter properties in neutron star mergers
• Impact of nuclear matter properties on the nucleosynthesis and the kilonova from binary neutron star merger ejecta
• Core-polarization effects and effective charges in O and Ni isotopes from chiral interactions
• 16O electroweak response functions from first principles
• Chiral NNLO${}_{\text{sat}}$ descriptions of nuclear multipole resonances within the random phase approximation
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Nuclear multipole responses from chiral effective field theory interaction
• From chiral NN(N) interactions to giant and pygmy resonances via extended RPA
• Computing nuclear response functions with time-dependent coupled-cluster theory

Cited by in corpus (2)

• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei
• Bulk and spectroscopic nuclear properties within an ab initio renormalized random-phase approximation framework