Cross sections and analyzing powers for polarized proton elastic scattering from 58Ni, and 204,206,208Pb were measured at intermediate energy Ep = 295 MeV. An effective relativistic Love-Franey interaction is tuned to reproduce 58Ni scattering data within the framework of the relativistic impulse approximation. The neutron densities of the lead isotopes are deduced using model-independent sum-of-Gaussians distributions. Their error envelopes are estimated by a new χ2 criterion including uncertainties associated with the reaction model. The systematic behaviors of extracted error envelopes of the neutron density distributions in 204,206,208Pb are presented. The extracted neutron and proton density distribution of 208Pb gives a neutron skin thickness of Δrnp = 0.211+0.054 -0.063 fm.
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