# Prospect for Measuring ${G_E^n}$ at High Momentum Transfers

## TL;DR

This paper discusses the design and potential of an experiment to measure the neutron electric form factor at high momentum transfers, utilizing advanced detection equipment and polarized helium-3 targets to improve precision.

## Contribution

It introduces a new experimental setup with optimized parameters and discusses innovative methods for systematic calibration using existing proton form factor data.

## Key findings

- Projected measurement up to \\qsq~= 3.4 \\gvsq, doubling previous data range.
- Design of the experimental apparatus including BigBite spectrometer and neutron detectors.
- Conceptual framework for calibration using proton form factor data.

## Abstract

Experiment E02-013, approved by PAC21, will measure the neutron electric form factor at \qsq~up to 3.4 \gvsq, which is twice that achieved to date. The main features of the new experiment will be the use of the electron spectrometer BigBite, a large array of neutron detectors, and a polarized \he3~target. We present the parameters and optimization of the experimental setup. A concept of an experiment for \GEN~where precision \GEP~data is used for calibration of the systematics of a Rosenbluth type measurement is also discussed. A concept of the circulating gas flow in the polarized He$^3$ target is presented.