  Low-energy nuclear structure is not sensitive enough to resolve fine details
of nucleon-nucleon (NN) interaction. Insensitivity of infrared physics to the
details of short-range strong interaction allows for consistent, free of
ultraviolet divergences, formulation of local theory at the level of local
energy density functional (LEDF) including, on the same footing, both
particle-hole as well as particle-particle channels. Major difficulty is
related to parameterization of the nuclear LEDF and its density dependence. It
is argued that structural simplicity of terminating or isomeric states offers
invaluable source of informations that can be used for fine-tuning of the NN
interaction in general and the nuclear LEDF parameters in particular. Practical
applications of terminating states at the level of LEDF and nuclear shell-model
are discussed.
