This Nuclear Talent school aims to bring together the efforts of nuclear many-body theorists, quantum information theorists, and mathematicians in order to present and discuss algorithms for studying nuclear systems using recent progress in quantum information theory.

Strong links between theory and experiment are mandatory to advance nuclear physics and optimize the realization of experimental research programs. Presently, there is a limited amount of available data and software that allow experimentalists to have an easy access to state-of-the-art predictions for nuclear observables. One of the goals of the EURO-LABS project, implemented within the Horizon Europe program, consists in establishing virtual access (VA) facilities that fill this gap. The Theo4Exp facility has been recently launched in February 2024. The purpose of this workshop is to make Theo4Exp more widely known, introduce prospective users to its exploitation and, more importantly, set the grounds for broadening the scope of Theo4Exp and ameliorating the service for all the low-energy nuclear physics community. The ultimate goal is, thus, to further improve the synergy between theory and experiment, and improve the scientific impact of the field.

Ab initio applications in nuclear theory have grown dramatically over the past two decades thanks to the rapid development of effective field theories (EFT) for the nuclear force and the introduction of advanced algorithms for large scale many-body computations.

The study of the QCD phase diagram in the high-muB region is a key avenue toward understanding strongly interacting matter under extreme conditions. First accurate data in the collision energy region around 10 GeV, corresponding to baryo-chemical potentials of several hundred MeV, became available recently, with the completion of the Beam Energy Scan at RHIC. Hadronic and electromagnetic observables were the main addressed topics. The next breakthrough is expected with the CBM/HADES experiments at FAIR/GSI and the proposed NA60+ experiment at SPS/CERN that will take data at interaction rates larger by at least two orders of magnitude, allowing a much more accurate study of electromagnetic probes and first results on heavy-quark production. Following an exploratory workshop held at ECT* in 2021, we now aim at substantial progress in reviewing currently available results, analyzing the physics potential of the forthcoming experiments, and discussing first actual predictions for the future measurements. We will also review the progress on new detectors for high-luminosity experiments, identifying possible developments and synergies between the various projects.

The charge radius is a fundamental property of the nucleus, whose knowledge has implications in the development of nuclear structure theory, precision QED tests and searches for physics beyond the Standard model (BSM). Spectroscopy of muonic atoms has produced charge radii with unprecedented precision. Laser spectroscopy is the leading technology to determine charge radii of H and He, while low temperature microcalorimeters as metallic magnetic calorimeters allow a ten-fold improvement for the lightest nuclei (up to Z~10). On the theory side, progress depends critically on a better understanding of nucleon and nuclear polarizabilities, which traditionally constitute the main systematic limitation. The aim of this workshop is to discuss the innovative technologies for high-resolution X-ray spectroscopy, and to discuss necessary improvements on the theoretical side, required to match the experimental accuracies. In addition, perspectives for testing BSM will be presented.