Study of the neutron skin thickness of ${}^{208}$Pb in mean field models

Details Study of the neutron skin thickness of ${}^{208}$Pb in mean field models Study of the neutron skin thickness of ${}^{208}$Pb in mean field models

2011-06-26

arxiv.org/abs/1106.5197v1

J. Phys.: Conf. Ser. 321 012052 (2011)

Physics

Nuclear Physics

Nuclear Theory

5 pages, 2 figures, proceedings MBC 2011 - Many body correlations from dilute to dense nuclear systems - IHP PARIS

Scientific paper

10.1088/1742-6596/321/1/012052

We study whether the neutron skin thickness $\Delta r_{np}$ of ${}^{208}$Pb originates from the bulk or from the surface of the neutron and proton density distributions in mean field models. We find that the size of the bulk contribution to $\Delta r_{np}$ of ${}^{208}$Pb strongly depends on the slope of the nuclear symmetry energy, while the surface contribution does not. We note that most mean field models predict a neutron density for ${}^{208}$Pb between the halo and skin type limits. We investigate the dependence of parity- violating electron scattering at the kinematics of the PREX experiment on the shape of the nucleon densities predicted by the mean field models for ${}^{208}$Pb. We find an approximate formula for the parity-violating asymmetry in terms of the central radius and the surface diffuseness of the nucleon densities of ${}^{208}$Pb in these models.

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