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We study the correlation between the neutron skin development and thelow-energy dipole response associated with the pygmy dipole resonance (PDR) inconnection with the properties of symmetry energy. We perform our investigationwithin a microscopic transport model based on the Landau-Vlasov kineticequation by employing three different equations of state in the isovectorsector. Together with the giant dipole resonance (GDR) for all studied systems,we identify a PDR collective mode whose energy centroid is very well describedby the parametrization E_{PDR}=41 A^{-1/3}. A linear correlation between theenergy weighted sum rule (EWSR) associated to PDR and the neutron skinthickness is evidenced. An increase of 15 MeVfm^2 of EWSR, in correspondence toa change of 0.1fm of the neutron skin size, is obtained. We conjecture thatdifferent nuclei having close neutron skin sizes will exhaust the same EWSR inthe pygmy region. This suggests that a precise experimental estimate of thetotal EWSR exhausted by the PDR allows the determination of the neutron skinsize, constraining the slope parameter of the symmetry energy.

Connecting the Pygmy Dipole Resonance to the neutron skin