Abstract
We investigate the optimal kinematic conditions for extractinginformation about the spatial distribution of neutrons in heavy spin-0nuclei from a hypothetical parity-violating electron scattering (PVES)experiment. We further investigate the extent to which presentuncertainties in the shape of the neutron distribution affect theextraction of the rms neutron radius (the first moment of the distributionRn). We conclude that present theoretical uncertainties in theshape of the neutron distribution will not preclude a PVES measurement ofRn at the 1% level in lead. We also calculate the additionalconstraints provided by measurements at two different values of themomentum transfer. Finally, we examine the connection to atomic paritynon-conservation(PNC) observables and find that a single optimally designed PVESexperiment could eliminate nuclear structure uncertainties in futureprecision tests of the standard model at the sub-1% level.
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