First principles electromagnetic responses in medium-mass nuclei

Abstract

We review the recent progress made in the computation of electromagnetic response functions in light and medium-mass nuclei using coupled-cluster theory. We show how a many-body formulation of the Lorentz integral transform method allows to calculate the photoabsorption cross sections of ${}^{16,22}$O and ${}^{40}$Ca. Then, we discuss electromagnetic sum rules, with particular emphasis on the electric dipole polarizability, ${\alpha }_D$. By including triples corrections in coupled-cluster theory, we revisit ${}^{48}$Ca, for which, beside the electric dipole polarizability, we had previously investigated the neutron and proton radii, as well as the size of the neutron-skin thickness [1]. We show that correlations among these observables still hold, albeit a better agreement with experiment is obtained for ${\alpha }_D$ and the prediction of a small neutron-skin thickness is further corroborated.

Comments: 13 pages, 7 figures, contribution to the special issue of EPJA on the topic "Giant, Pygmy, Pairing Resonances and related topics" dedicated to the memory of Pier Francesco Bortignon