Centre-of-momentum frame analysis of $\eta$ production in DUNE

TL;DR

This paper explores how centre-of-momentum variables can isolate nuclear effects in neutrino-induced eta production at DUNE, aiding in better modeling of FSI and understanding resonance states.

Contribution

It demonstrates the use of c.m. variables to distinguish FSI effects and isolate neutrino-Hydrogen events in eta production, enhancing nuclear interaction analysis.

Findings

c.m. variables effectively isolate FSI effects

E_{c.m.} helps identify high-purity neutrino-Hydrogen events

study improves understanding of resonance states in neutrino interactions

Abstract

A deep understanding of neutrino-nucleus interaction is crucial for the precise measurement of neutrino oscillation parameters and cross section measurements. Various nuclear effects, such as initial state effects (IS) and Final state interactions (FSI), make neutrino interactions more complicated. To probe the impacts of the nuclear effects, a separate study of FSI and IS is required. A set of variables known as Centre-of-momentum (c.m.) variables ($\theta_{c.m.}$ and $E_{c.m.}$) provides a unique approach to isolate the FSI effect with minimal sensitivity to IS. This work presents the importance of c.m. variables in neutrino-induced eta ($\eta$) meson production in the DUNE near detector. $\theta_{c.m.}$ is an important parameter to improve the FSI modeling, while $E_{c.m.}$ helps in isolating high-purity neutrino-Hydrogen events. The study of $\eta$ production in neutrino interactions helps in understanding the theoretical descriptions of higher resonance states.