Charge symmetry breaking in electromagnetic nucleon form factors in elastic parity-violating electron-nucleus scattering

The effects of charge symmetry breaking in nucleon electromagnetic form factors on parity-violating elastic electron-${}^{12}\mathrm{C}$ scattering is studied and found to be much smaller than other known effects. The analysis of a planned experiment is discussed. Nuclear isospin violation is likely to provide the largest correction term.

Figure 1

Comparison of $\frac{\mathrm{\Delta }\mathrm{\Gamma }}{\mathrm{\Gamma }}$ of Ref. [14] (solid) with that of Ref. [6] (dashed).

Figure 2

Contributions to the correction $C\left(Q^2\right)$ due to nuclear isospin violation (dashed) and CSB in the nucleon form factors (solid) for two sets of meson-nucleon coupling constants; see text.

Figure 3

Contributions to the correction $C\left(Q^2\right)$ due to strangeness. The two curves are obtained using the upper (+0.15) and lower (0.34) limits on ${\rho }_s$ from Ref. [8].

Figure 4

$2s_W+C\left(Q^2\right)$. The two solid curves include the effects of nuclear isospin violation, the average of nucleon CSB, and the upper and lower limits of the strangeness contribution. The dashed curve is obtained by setting the strangeness contribution to 0. The use of each of the parameter sets discussed in this paper would lead to a straight line on this figure.