Subspace-projected multireference covariant density functional theory

Multireference density functional theory (MR-DFT) has been a pivotal method for studying nuclear spectroscopy and neutrinoless double-beta (0) decay. However, quantifying their theoretical uncertainties has been a significant challenge due to the computational demands. This study introduces a subspace-projected covariant density functional theory (SP-CDFT), which efficiently emulates MR-CDFT calculations for nuclear low-lying states. This approach leverages the eigenvector continuation method combined with the quantum-number projected generator coordinate method, based on a relativistic energy density functional (EDF). We apply SP-CDFT to investigate the correlations among the physical quantities of nuclear matter, nuclear low-lying spectroscopy, and the nuclear matrix elements (NMEs) of 0 decay in the two heaviest candidate nuclei. Our findings reveal generally strong correlations between the NMEs of 0 decay and the excitation energy of the 2₁^+ state, as well as the E2 transition strength, although these correlations vary significantly among nuclei. The Bayesian analysis, which integrates the properties of nuclear matter and low-lying states, yields mean values and statistical uncertainties for the NMEs 4. 33 (5) for ^136Xe and 5. 51 (14) for ^150Nd. This work also paves the way for refining nuclear EDF parameters using spectroscopic data.