Weak charge and weak radius of ${}^{12}$C

Abstract

We present a feasibility study of a simultaneous sub-percent extraction of the weak charge and the weak radius of the ${}^{12}$C nucleus using parity-violating electron scattering, based on a largely model-independent assessment of the uncertainties. The corresponding measurement is considered to be carried out at the future MESA facility in Mainz with $E_{\mathrm{beam}}=155$ MeV. We find that a combination of a $0.3\%$ precise measurement of the parity-violating asymmetry at forward angles with a $10\%$ measurement at backward angles will allow to determine the weak charge and the weak radius of ${}^{12}$C with $0.4\%$ and $0.5\%$ precision, respectively. These values could be improved to $0.3\%$ and $0.2\%$ for a $3\%$ backward measurement. This experimental program will have impact on precision low-energy tests in the electroweak sector and nuclear structure.

7 pages, 5 figures

References in corpus (4)

• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Building relativistic mean field models for finite nuclei and neutron stars
• Precision Measurement of the Weak Charge of the Proton
• A new Skyrme interaction with improved spin-isospin properties

Cited by in corpus (1)

• Radiative corrections to semileptonic beta decays: Progress and challenges