Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory

Abstract

We demonstrate the capability of coupled-cluster theory to compute the Coulomb sum rule for the ${}^4$He and ${}^{16}$O nuclei using interactions from chiral effective field theory. We perform several checks, including a few-body benchmark for ${}^4$He. We provide an analysis of the center-of-mass contaminations, which we are able to safely remove. We then compare with other theoretical results and experimental data available in the literature, obtaining a fair agreement. This is a first and necessary step towards initiating a program for computing neutrino-nucleus interactions from first principles and supporting the experimental long-baseline neutrino program with a state-of-the-art theory that can reach medium-mass nuclei.

arXiv comment10 pages, 5 figures

References in corpus (36)

• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• The T2K Experiment
• Coupled-cluster computations of atomic nuclei
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Response Functions from Integral Transforms with a Lorentz Kernel
• Ab Initio Path to Heavy Nuclei
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• State Dependent Effective Interaction for the Hyperspherical Formalism
• The MiniBooNE Detector
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Coupled cluster approach to nuclear physics
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Properties of nuclei up to $A=16$ using local chiral interactions
• Ab initio coupled-cluster study of 16-O
• Solution of the center-of-mass problem in nuclear structure calculations
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• First principles description of the giant dipole resonance in 16O
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Electromagnetic and neutral-weak response functions of 4He and 12C
• Giant and pigmy dipole resonances in 4He, 16,22O, and 40Ca from chiral nucleon-nucleon interactions
• Variational calculation of the ground state of closed-shell nuclei up to $A=40$
• Neutrino-nucleus cross section within the extended factorization scheme
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Microscopic calculation of the inclusive electron scattering structure function in O-16
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Computing the dipole polarizability of 48Ca with increased precision
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Inclusive electron scattering off 4He
• Spherical coupled-cluster theory for open-shell nuclei
• Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1,A}$ constraints
• Search for three-nucleon force effects on the longitudinal response function of 4He

Cited by in corpus (10)

• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Spectral density reconstruction with Chebyshev polynomials
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Extraction of the Coulomb Sum Rule, Transverse Enhancement, and Longitudinal Quenching from an Analysis of all Available e-${}^{12}$C and e-${}^{16}$O Cross Section Data
• Spectral function for ${}^4$He using the Chebyshev expansion in coupled-cluster theory
• Meson-exchange currents in quasielastic electron scattering in a generalized superscaling approach
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Contribution of Nuclear Excitation Electromagnetic Form Factors in ${}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}$ to the Coulomb Sum Rule
• Bridging reaction theory and nuclear structure in ${\pi }^{\pm }$-${}^{48}$Ca scattering
• Removing center of mass effects in response function and sum rule calculations based on the harmonic oscillator basis