Ab initio computation of the longitudinal response function in ${}^{40}$Ca

Abstract

We present a consistent \emph{ab initio} computation of the longitudinal response function $R_L$ in ${}^{40}$Ca using the coupled-cluster and Lorentz integral transform methods starting from chiral nucleon-nucleon and three-nucleon interactions. We validate our approach by comparing our results for $R_L$ in ${}^4$He and the Coulomb sum rule in ${}^{40}$Ca against experimental data and other calculations. For $R_L$ in ${}^{40}$Ca we obtain a very good agreement with experiment in the quasi-elastic peak up to intermediate momentum transfers, and we find that final state interactions are essential for an accurate description of the data. This work presents a milestone towards \emph{ab initio} computations of neutrino-nucleus cross sections relevant for experimental long-baseline neutrino programs.

6 pages, 3 figures

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• Chiral effective field theory and nuclear forces
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• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
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