Correlated many-body treatment of the Breit interaction with application to cesium atomic properties and parity violation

Corrections from the Breit interaction to basic properties of atomic ${}^{133}\mathrm{Cs}$ are determined in the framework of third-order relativistic many-body perturbation theory. The corrections to energies, hyperfine-structure constants, off-diagonal hyperfine $6S-7S$ amplitude, and electric-dipole matrix elements are tabulated. It is demonstrated that the Breit corrections to correlations are comparable to the Breit corrections at the Hartree-Fock level. Modification of the parity-nonconserving (PNC) $6S-7S$ amplitude due to Breit interaction is also evaluated; the resulting weak charge of ${}^{133}\mathrm{Cs}$ shows no significant deviation from the prediction of the standard model of elementary particles. The neutron skin correction to the PNC amplitude is also estimated to be -0.2% with an error bound of 30% based on the analysis of recent experiments with antiprotonic atoms. The present work supplements publication [A. Derevianko, Phys. Rev. Lett. 85, 1618 (2000)] with a discussion of the formalism and provides additional numerical results and updated discussion of parity violation.