Nuclear short-range correlations and the zero-energy eigenstates of the Schrödinger equation

Saar Beck, Ronen Weiss, Nir Barnea

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Abstract

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.

Original languageAmerican English
Article number064306
JournalPhysical Review C
Volume107
Issue number6
DOIs
StatePublished - Jun 2023

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© 2023 American Physical Society.

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