# Lepton scattering from $^{40}$Ar and $^{48}$Ti in the quasielastic peak region

## TL;DR

This paper uses ab initio methods to compute spectral functions of certain isotopes, accurately reproduces electron scattering data, and predicts neutrino scattering cross sections, advancing nuclear physics understanding.

## Contribution

It introduces ab initio spectral function calculations for $^{40}$Ar and $^{48}$Ti, improving predictions of scattering cross sections and assessing approximation accuracy.

## Key findings

- Spectral functions agree with experimental data.
- Calculated ($e$,$e$') cross sections match Jefferson Lab measurements.
- Predicted neutrino-$^{40}$Ar scattering cross sections.

## Abstract

Neutron and proton spectral functions of $^{40}$Ar, $^{40}$Ca, and $^{48}$Ti isotopes are computed using the ab initio self-consistent Green's function approach. The resulting radii and charge distributions are in good agreement with available experimental data. The spectral functions of Ar and Ti are then utilized to calculate inclusive ($e$,$e$') cross sections within a factorization scheme and are found to correctly reproduce the recent Jefferson Lab measurements. Based on these successful agreements, the weak charged and neutral current double-differential cross sections for neutrino-$^{40}$Ar scattering are predicted in the quasielastic region. Results obtained by replacing the (experimentally inaccessible) neutron spectral distribution of $^{40}$Ar with the (experimentally accessible) proton distribution of $^{48}$Ti are compared and the accuracy of this approximation is assessed.