Prospects for Using Coherent Elastic Neutrino-Nucleus Scattering to Measure the Nuclear Neutron Form Factor

We suggest coherent elastic neutrino-nucleus scattering (CENNS) as a method for measuring the neutron part of the nuclear form factor. Using an expansion into moments of the form factor, we show that the second moment (the neutron radius), as well as the fourth moment can be probed using neutrinos from a stopped pion source. We use Monte Carlo techniques to demonstrate that the neutron radius could be found with an uncertainty of a few percent in tonne scale detectors of argon, germanium, and xenon. The effects of detector shape uncertainty and detector size were also studied to determine the prospects of such a measurement. We find that in order to measure the neutron radius to 5\%, the the spectral shape uncertainty of the detector needs to be known to 1\% or better.