Connecting electromagnetic observables in finite nuclei to the nuclear matter equation of state

Nuclear electromagnetic observables, such as electric dipole polarizabilities, provide a unique connection between nuclear structure and astrophysics. In fact, they strongly correlate with parameters determining the nuclear matter equation of state at saturation density, shedding light at the same time on the collective excitations of the nucleus at low energy. These observables can be computed in an ab initio framework taking advantage of the LIT-CC method. This approach is based on merging the Lorentz Integral Transform (LIT) technique, which allows a proper treatment of the continuum problem, with the mild computational scaling characterizing Coupled-Cluster (CC) theory with increasing mass number. In this talk, I will present recent ab initio calculations of the electric dipole polarizability in medium-mass nuclei at closed shells and in their vicinity. I will also discuss new coupled-cluster developments allowing for a description of electromagnetic responses in a time-dependent framework.