CONSTRAINING THE NUCLEAR EQUATION OF STATE VIA NUCLEAR STRUCTURE OBSERVABLES

The recent experimental results on the isoscalar giant monopole resonance (ISGMR) and the Pygmy dipole resonance (PDR) inspire us to explore the nuclear equation of state (EOS) from those new results. We have studied the ISGMR in Cd and Sn isotopes within the self-consistent Skyrme HF₊BCS and quasi-particle random phase approximation (QRPA) and shown some interesting results. The correlations between the behavior of the nuclear symmetry energy, and the percentage of energy-weighted sum rule (EWSR) exhausted by the PDR in ⁶⁸Ni and ¹³²Sn are investigated within RPA approach by using different Skyrme models. A comparison with the experimental data has allowed us to constrain the value of the slope of the symmetry energy at saturation.