Two investigations of parity-violating electron scattering are performed theoretically. One is to investigate the sensitivity of the theoretical parity-violating asymmetries to different nonlinear $\omega$-$\rho$ coupling parameter ${\Lambda }_{\mathrm{v}}$, while keeping the other parameters unchanged in the relativistic mean field (RMF) model. The other is to study the neutron properties and parity-violating asymmetries with three different RMF parameter sets: NL3, FSUGold, and IU-FSU. For the first topic, the neutron skin thickness reduces and corresponding oscillation amplitudes of the parity-violating asymmetries become small with the value of ${\Lambda }_{\mathrm{v}}$ increasing. For the second topic, results show there are significant differences between the parity-violating asymmetries in some scattering angles when calculated with different parameter sets. These angles are the best measuring angles in the experiments and the results are helpful to constrain the parameters in the RMF model.

• Received 26 September 2011

DOI:https://doi.org/10.1103/PhysRevC.84.064305