The approach based on the CBF effective Hamiltonian and the formalism of many-body theory has been employed to study a variety of problems relevant to the understanding of fundamental physics issues under active experimental investigation.

The imprint of the nuclear matter EOS on gravitational waves emitted from neutron stars in the aftermath of the excitation of Quasi Normal Modes has been extensively investigated [Phys. Rev. D 70 (2004) 124015; Gen. Rel. Grav. 39 (2007) 1323; Phys. Rev. D 104 (2021) 083034]. The findings of these analyses have the potential to shed light on the undelrying dynamics, as well as on the possible appearance of exotic phases involving non-nucleonic constituents.

The shear viscosity of nuclear matter and the possible transition to a superfluid and/or superconducting phase — critical to the the onset of the Chandrasekhar-Friedman-Schutz (CFS) instability driven by gravitational wave emission in rapidly rotating stars—have been explored [Phys. Rev. Lett. 99 (2007) 232501; J. Low. Temp. Phys. 189 (2017) 250]. These are the first such studies consistently carried out using a realistic microscopic model of nuclear dynamics.

The ongoing experimental studies of neutrinoless double-β decay—aimed at determining whether the neutrino is a Dirac or Majorana fermion—rely on highly non trivial theoretical calculations of the nuclear transition matrix element. The role of correlation effects in this context does not appear to be fully under control yet, and accurate consistent calculations carried out within the CBF approach may provide much needed additional information [Phys. Rev. C 90 (2014) 093004].

The results of early calculations of the properties of hot and dense nuclear matter have been employed to carry out a comprehensive analysis of the neutrino luminosity and gravitational wave emission of proto-neutron stars during the Kelvin-Helmoltz evolutionary phase [Phys. Rev. D 96 (2017) 043015].

Recently, The conceptual framewok and the formalism of many-body theory—which turn out to be ideally suited to describe correlations in complex systems—have been exploited to model scientific networks involving interdisciplinary collaborations. The first results of this effort are reported in Chapter 2 of the Volume "Complex Systems with Artificial Intelligence. Sustainability and Self-Constitution", Edited by Ricardo Lopez-Rúiz (IntechOpen, 2024).