Intrinsic shape and low-lying collective states of atomic nuclei within the self-consistent mean-field framework

Experiments with atoms or molecules containing nuclei that possess octupole deformation may improve substantially the limits on time reversal violation. Within the spherical self-consistent mean-field framework, we establish a profound connection between the intrinsic shape of nuclei and the dynamics exhibited by their low-lying collective states. Our investigation spans the nuclide chart, offering a comprehensive exploration of nuclear deformations, encompassing quadrupole, octupole, and hexadecapole patterns. Emphasizing the role of the shell-driving mechanism, our research sheds light on the evolutionary aspects of nuclear deformation.