# Measurement of the single-spin asymmetry $A_y^0$ in quasi-elastic $^3$He$^\uparrow$($e,e'n$) scattering at $0.4 < Q^2 < 1.0$ GeV$/c^2$

## TL;DR

This study measures the target single spin asymmetry in quasi-elastic electron scattering from polarized helium-3 to understand nuclear effects and neutron structure, showing a decrease in asymmetry with increasing momentum transfer.

## Contribution

First measurements of $A_y^0$ at specific $Q^2$ values in quasi-elastic $^3$He scattering, revealing the fall-off of nuclear effects and informing future high $Q^2$ neutron structure studies.

## Key findings

- Asymmetry decreases from >20% to nearly zero as $Q^2$ increases.
- Observed a small $psilon$-dependent increase in $A_y^0$.
- Results support the use of plane wave impulse approximation at higher $Q^2$.

## Abstract

Due to the lack of free neutron targets, studies of the structure of the neutron are typically made by scattering electrons from either $^2$H or $^3$He targets. In order to extract useful neutron information from a $^3$He target, one must understand how the neutron in a $^3$He system differs from a free neutron by taking into account nuclear effects such as final state interactions and meson exchange currents. The target single spin asymmetry $A_y^0$ is an ideal probe of such effects, as any deviation from zero indicates effects beyond plane wave impulse approximation. New measurements of the target single spin asymmetry $A_y^0$ at $Q^2$ of 0.46 and 0.96 (GeV/$c)^2$ were made at Jefferson Lab using the quasi-elastic $^3\mathrm{He}^{\uparrow}(e,e'n)$ reaction. Our measured asymmetry decreases rapidly, from $>20\%$ at $Q^2=0.46$ (GeV/$c)^2$ to nearly zero at $Q^2=0.96$ (GeV$/c)^2$, demonstrating the fall-off of the reaction mechanism effects as $Q^2$ increases. We also observed a small $\epsilon$-dependent increase in $A_y^0$ compared to previous measurements, particularly at moderate $Q^2$. This indicates that upcoming high $Q^2$ measurements from the Jefferson Lab 12 GeV program can cleanly probe neutron structure from polarized $^3$He using plane wave impulse approximation.