Low-energy excitations and quasielastic contribution to electron-nucleus and neutrino-nucleus scattering in the continuum random phase approximation

TL;DR

This paper develops and validates a continuum random phase approximation model for quasielastic electron and neutrino scattering on nuclei, emphasizing low-energy excitations and comparing predictions with experimental data.

Contribution

It introduces a detailed continuum RPA approach that accurately describes quasielastic scattering and low-energy excitations, improving upon simpler models.

Findings

Model agrees well with electron scattering data for $^{12}$C, $^{16}$O, and $^{40}$Ca.

Highlights the importance of low-energy excitations in neutrino scattering.

Provides insights relevant for neutrino-oscillation experiments.

Abstract

We present a detailed study of a continuum random phase approximation approach to quasielastic electron-nucleus and neutrino-nucleus scattering. The formalism is validated by confronting ($e,e'$) cross-section predictions with electron scattering data for the nuclear targets $^{12}$C, $^{16}$O, and $^{40}$Ca, in the kinematic region where quasielastic scattering is expected to dominate. We examine the longitudinal and transverse contributions to $^{12}$C($e,e'$) and compare them with the available data. Further, we study the $^{12}$C($\nu_{\mu},\mu^{-}$) cross sections relevant for accelerator-based neutrino-oscillation experiments. We pay special attention to low-energy excitations which can account for non-negligible contributions in measurements, and require a beyond-Fermi-gas formalism.