  We present a systematic analysis of the nuclear 2 and 3-body short range
correlations, and their relations to the zero-energy eigenstates of the
Schrodinger equation. To this end we analyze the doublet and triplet
Coupled-Cluster amplitudes in the high momentum limit, and show that they obey
universal equations independent of the number of nucleons and their state.
Furthermore, we find that these Coupled-Cluster amplitudes coincide with the
zero-energy Bloch-Horowitz operator. These results illuminate the relations
between the nuclear many-body theory and the generalized contact formalism,
introduced to describe the nuclear 2-body short range correlations, and it
might also be helpful for general Coupled-Cluster computations as the
asymptotic part of the amplitudes is given and shown to be universal.
