Abstract
In the present work, we calculate the $^{208}\mathrm{Pb}$ neutron skin thickness, binding energy, surface energy, and density profiles within the Dirac solution of a density dependent hadronic model. The same calculation is performed with the NL3 parametrization of the nonlinear Walecka model. The asymmetry of a polarized electron scattered from a heavy target is also obtained within a partial wave expansion calculation. The theoretical results are then ready to be compared with the experimental results expected to be available very soon at the Thomas Jefferson National Accelerator Facility. For completeness, other nuclei such as $^{40}\mathrm{Ca}$, $^{48}\mathrm{Ca}$, $^{66}\mathrm{Ni}$, and $^{90}\mathrm{Zr}$ are also investigated.
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