Applications of Ab Initio Nuclear Theory to Electroweak Processes in Atomic Nuclei
This doctoral project aims to integrate ab initio nuclear structure methods with advanced atomic codes to perform high-precision computations of hyperfine splitting in atoms composed of light nuclei. The core of the project bridges nuclear and atomic physics to assess the predictive accuracy of state-of-the-art nuclear Hamiltonians against the precise atomic measurements generated by the QUARTET collaboration's muonic atom experiments. By computing highly sensitive charge and magnetic density distributions using nuclear structure codes, these inputs will be directly incorporated into Multi-Configuration Dirac-Fock solvers. This approach fully accounts for relativistic effects and higher-order quantum electrodynamics (QED) contributions, which are essential for evaluating systems with $Z>1$.
Furthermore, this work will advance the development of many-body techniques capable of treating bound and continuum states within a unified and consistent framework. The main focus involves utilizing the No-Core Shell Model with Continuum (NCSMC) to accurately model the tail of the nuclear wave function at extended relative distances, particularly for highly clustered systems. Additionally, the research explores the implications of the Complex-Scaled Similarity Renormalization Group (CS-SRG) Hamiltonian mapped onto a Resonating Group Method (RGM) basis. This will determine whether a Berggren-like basis can facilitate the extraction of accurate optical potentials without the explicit inclusion of inelastic channels. Ultimately, this pipeline will refine low-energy couplings and underlying nuclear Hamiltonians, significantly reducing reliance on empirical fitting and providing robust theoretical support for new physics searches.
G. Hupin
