${}^{40}$Ca transverse response function from coupled-cluster theory

Abstract

We present calculations of the ${}^{40}$Ca transverse response function obtained from coupled-cluster theory used in conjunction with the Lorentz integral transform method. We employ nuclear forces derived at next-to-next-to leading order in chiral effective field theory with and without $\Delta$ degrees of freedom. We first benchmark this approach on the ${}^4$He nucleus and compare both the transverse sum rule and the response function to earlier calculations based on different methods. As expected from the power counting of the chiral expansion of electromagnetic currents and from previous studies, our results retaining only one-body term underestimate the experimental data for ${}^4$He by about $20\%$. However, when the method is applied to ${}^{40}$Ca at the same order of the expansion, response functions do not lack strength and agree well with the world electron scattering data. We discuss various sources of theoretical uncertainties and comment on the comparison of our results with the available experiments.

arXiv comment9 pages, 9 figures

References in corpus (46)

• Modern Theory of Nuclear Forces
• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• 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
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Medium-mass nuclei from chiral nucleon-nucleon interactions
• Coupled cluster approach to nuclear physics
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Symmetry-guided large-scale shell-model theory
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Electromagnetic two-body currents of one- and two-pion range
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Charge radii of exotic neon and magnesium isotopes
• Ab initio coupled-cluster study of 16-O
• First principles description of the giant dipole resonance in 16O
• How low-energy weak reactions can constrain three-nucleon forces and the neutron-neutron scattering length
• 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
• From bound states to the continuum
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• What is ab initio in nuclear theory?
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Electric dipole polarizability from first principles calculations
• Approximate treatment of electron Coulomb distortion in quasielastic (e,e') reactions
• Nuclear Currents in Chiral Effective Field Theory
• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• Microscopic calculation of the inclusive electron scattering structure function in O-16
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Charge radius of the short-lived ${}^{68}$Ni and correlation with the dipole polarizability
• Lepton scattering from ${}^{40}$Ar and ${}^{48}$Ti in the quasielastic peak region
• Inclusive electron scattering off 4He
• Inclusive electron-nucleus cross section within the Self Consistent Green's Function approach
• Collective rotation from ab initio theory
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Relativistic effects in ab-initio electron-nucleus scattering
• Coulomb sum rule for ${}^4$He and ${}^{16}$O from coupled-cluster theory
• Uncertainty quantification in electromagnetic observables of nuclei

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