Microscopic modelling of collective quadrupole excitations of nuclei

We explore the Generalised Bohr Hamiltonian (GBH) approach in describing various nuclear observables - energy spectra and their associated B (E2) electromagnetic transition rates - in even-even nuclei exhibiting quadrupole collective excitations. We carry out a systematic survey of the rare-earth region of the nuclear chart with the UNEDF0 functional in constrained Hartree-Fock-Bogoliubov calculations of mass parameters used in the GBH. In addition, we aim to address key questions with regards to the robustness of the Bohr Hamiltonian approach and specifically what key factors impact the nuclear observables calculated through this methodology. In particular, initial work is carried out on specific chains and a subgroup of nuclei, requested by various experimental physicists, with the UNEDF1 and UNEDF1SO functionals