Effective field theories for collective excitations of nuclei

We re-examine nuclear vibrations and rotations with the tool of effective field theory (EFT). For nuclear rotation, the EFT is based on the emergent breaking of rotational symmetry and on its Nambu-Goldstone realization. Its leading order recovers well-known collective models, and higher order corrections correctly describe the faint inter-band transitions. The EFT suggest that some transitions would merit a re-measurement or re-evaluation. The EFT for nuclear vibrations is based on the usual Wigner-Weyl realization of rotational symmetry. Expanding Hamiltonians and transition operators consistently, and employing Bayesian uncertainty quantification, we arrive at a consistent description (within theoretical uncertainties) of spectra and electromagnetic transitions in ⁶²Ni, ^98,100Ru, ^106,108Pd, ^110,112,114Cd, ^118,120,122Te, and some of their odd-mass neighbors. This document is composed of an abstract and the slides of the presentation. (author)