Uncertainty quantification in nuclear shell-model calculations*

In addition to successful descriptions with phenomenological effective interactions so far, shell-model calculations play now key roles to investigate various nuclear observables based on state-of-the-art realistic nuclear potentials from chiral effective field theory and ab initio methods to derive effective interactions for a valence space. Within this context, it is urgent task to investigate the validity of valence shell model itself, which states should be described within a given model space.

Quantifying the uncertainties in shell-model effective interactions for a given model space provide us important informations, (possible) missing contributions in current nuclear potential and/or many-body methods to derive eff. int., comparisons with experimental data in a higher level, and so on.