This PhD project aims to integrate ab initio nuclear structure methods with ab initio atomic codes to enable high-precision calculations of hyperfine splitting in atoms composed of light nuclei. By bridging nuclear and atomic physics, the research will assess the accuracy of state-of-the-art nuclear Hamiltonians against ultra-precise atomic measurements from the QUARTET collaboration’s muonic atom experiments. The PhD candidate will collaborate with experts in Multi-Configuration Dirac-Fock methods to incorporate charge and magnetic density distributions computed from nuclear structure codes. Additionally, the project will develop many-body techniques thattreat bound and continuum states in a unified framework. This approach will refine nuclear Hamiltonians to align with the most precise measurements of light systems, ultimately reducing reliance on empirical fitting. The PhD student will be based at IJCLab. However, there will be significant exchanges with the team working at TRIUMF (Canada), specifically to collaborate on the advancement of ab initio numerical codes.