Relativistic distorted-wave analysis of the missing-energy spectrum measured with monochromatic $\nu_\mu$-$^{12}$C interactions at JSNS$^{2}$

TL;DR

This paper analyzes the missing-energy spectrum of $^{12}$C induced by monochromatic $ u_$ interactions using a relativistic distorted-wave model, incorporating a new spectral function parameterization and discussing nuclear effects and event generators.

Contribution

It introduces a novel spectral function parameterization for neutrons in $^{12}$C based on high-resolution electron scattering data, enhancing the analysis of neutrino interactions.

Findings

The spectral function improves the modeling of missing-energy distributions.

Recoil, final-state interactions, and neutrino generators significantly affect the spectrum.

The approach provides better agreement with experimental data.

Abstract

Recently, the JSNS$^2$ collaboration measured for the first time the missing-energy distribution of $^{12}$C using a monochromatic neutrino beam coming from kaon decays at rest. In this work we present the results of an analysis of this spectrum using the relativistic distorted-wave approach. A new parameterization of the spectral function for neutrons in $^{12}$C, which incorporates detailed information from $\left(e,e'p\right)$ experiments with high missing-energy resolution has been used. The role of the recoil of the residual nucleus, final-state interactions, and neutrino event generators are discussed.