Uncertainty quantification of spectra and transitions in the nuclear shell-model

We perform uncertainty quantification (UQ) for transition operators of a high-quality empirical shell-model interaction, USDB, in the sd shell.  First, we perform a sensitivity analysis on the Hamiltonian parameters (matrix elements) using principal component analysis. This allows us to compute the statistical uncertainty of energy levels and observables. We also compute the empirical uncertainty on transition coupling constants by Monte Carlo sampling.