  We have investigated the finite temperature dynamics of the singlet to
doublet continuous quantum phase transition in the gapped Anderson impurity
model using hybridization expansion continuous time quantum Monte-Carlo. Using
the self-energy and the longitudinal static susceptibility, we obtain a phase
diagram in the temperature-gap plane. The separatrix between the low
temperature local moment phase and the high temperature generalized Fermi
liquid phase of this phase diagram is shown to be the lower bound of the
critical scaling region of the zero gap quantum critical point of interacting
type. We have computed the nuclear magnetic spin-lattice relaxation rate, the
Knight shift and the Korringa ratio, which show strong deviations for any
non-zero gap from the corresponding quantities in the gapless Kondo screened
impurity case.
