Excellent progress has been made in the ERC Project EUSTRONG. In Work Package 1, we have explored the equation of state from Fermi liquid theory and investigated the phase diagram of neutron-rich matter relevant for neutron stars. This establishes the existence of a proton drip phase, which has important implications for the possibility of pasta phases in neutron stars. Moreover, we have systematically investigated the impact of strong phase transitions at intermediate densities and developed equations of state exploring new degrees of freedom in effective field theories. Combining multimessenger observations of neutron stars with our equation of state calculations, we have provided constraints for the masses and radii of neutron stars, and for the dense matter equation of state, showing how astrophysics observations provide tight constraints at intermediate densities.
In Work Package 2, we have made advances on three-nucleon interactions needed for converged ab initio calculations of heavy nuclei and developed new effective field theory interactions that yield accurate results up to heavy nuclei. A highlight has been the combination of the ab initio in-medium similarity renormalization group with the density matrix renormalization group, with superior convergence in large-space calculations and with new insights to nuclear structure using methods from quantum information. We have further explored the method of eigenvector continuation for strongly interacting systems and nuclear many-body problems. Moreover, we have established low-rank singular value decompositions for chiral effective field theory interactions.
In Work Package 3, we have explored strong interactions in nuclei that are key for neutrino physics and for new physics searches. We have predicted neutrinoless double-beta decay nuclear matrix elements based on an effective field theory for heavy nuclei. To test the momentum dependence of two-body currents, we have shown the impact of two-body currents for magnetic moments up to heavy nuclei. Finally, we have studied how ytterbium isotope shift measurements can be used to extract higher-order changes in the nuclear charge distribution and compared these to ab initio calculations of the complex structure of these heavy isotopes. The results can be used to provide limits on physics beyond the Standard Model.