Electric Dipole Polarizability of Magic Nuclei

Using the examples of magic nuclei \({}^{40,48}\) Ca, \({}^{68,78}\) Ni, \({}^{132}\) Sn, and \({}^{208}\) Pb, the correlation between electric dipole polarizability and the thickness of the neutron ‘‘skin’’ has been studied. The distribution of \(E1\) -transition strength was calculated within the random phase approximation using the Skyrme energy density functional. Comparison with experimental data made it possible to constrain the value of nuclear symmetry energy within the range \(J=30{-}37\) MeV.