We present a systematic analysis of the nuclear two- and three-body short-range correlations and their relations to the zero-energy eigenstates of the Schrödinger 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 two-body short range correlations, and they might also be helpful for general coupled-cluster computations as the asymptotic part of the amplitudes is given and shown to be universal.
Bibliographical noteFunding Information:
This research was supported by the Israel Science Foundation (Grant No. 1086/21). The work of S.B. was also supported by the Israel Ministry of Science and Technology (MOST). R.W. was supported by the Laboratory Directed Research and Development program of Los Alamos National Laboratory under Project No. 20210763PRD1.
© 2023 American Physical Society.