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Parity violating elastic electron scattering on neutron-rich nuclei isdescribed in the framework of relativistic mean-field theory. Self-consistentground state density distributions of Ne, Na, Ni and Sn isotopes are calculatedwith the relativistic Hartree- Bogoliubov model, and the resulting neutronradii are compared with available experimental data. For the elastic scatteringof 850 MeV electrons on these nuclei, the parity-violating asymmetry parametersare calculated using a relativistic optical model with inclusion of Coulombdistortion effects. The asymmetry parameters for chains of isotopes arecompared, and their relation to the Fourier transforms of neutron densities isstudied. It is shown that parity-violating asymmetries are sensitive not onlyto the formation of the neutron skin, but also to the shell effects of theneutron density distribution.Comment: RevTeX 17 pages, 18 eps figs, submitted to Phys. Rev.

Parity violating elastic electron scattering and neutron density distributions in the relativistic Hartree-Bogoliubov model