Ab initio calculations in nuclear physics have undergone considerable progress over the past 20 years, enabling the study of several hundred nuclei with approximately 5% precision, notably through the PAN@CEA collaboration (A-Nucleon Problem at CEA) between DAM, DRF, and DES. These methods connect nuclear phenomenology to QCD theory via chiral effective field theory (cEFT) and find applications in both nuclear structure and particle physics.
Despite these advances, the majority of the Segrè chart remains inaccessible, with limitations to nuclei of mass A~100. This limitation stems from the computational and memory costs that scale with the desired mass and precision, related to the storage of large tensors. Recent research has demonstrated that a significant portion of the information in these tensors can be compressed through dimensionality reduction methods without significant loss of precision.
The postdoctoral project aims to extend these methods to the non-perturbative framework of deformed coupled cluster theory (dCC). The objectives are: 1) to implement the dCCSD method for nuclei up to A~80, 2) to develop its factorized version (TF-dCCSD) and validate it, 3) to extend it either to excited states (EOM-dCCSD) or to sub-percent precision (dCCSDT).