# Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations

## TL;DR

This paper demonstrates that the relative abundance of short-range correlated pairs in nuclei is independent of the nuclear interaction model and is consistent across coordinate and momentum space, revealing a fundamental scale and scheme invariance.

## Contribution

It introduces a model-independent ratio of nuclear contact terms that links short-range correlations to mean-field properties across different nuclear interactions.

## Key findings

- Ratios of contact terms are interaction-independent.
- Short-range pair ratios are consistent in coordinate and momentum space.
- Short-range correlations reflect long-range nuclear structure.

## Abstract

Ab-initio Quantum Monte Carlo (QMC) calculations of nuclei from deuterium to 40Ca, obtained using four different phenomenological and local chiral nuclear potentials, are analyzed using the Generalized Contact Formalism (GCF). We extract spin- and isospin-dependent "nuclear contact terms" for each interaction in both coordinate and momentum space. The extracted contact terms, that count the number of short-range correlated (SRC) pairs with different quantum numbers, are dependent on the nuclear interaction model used in the QMC calculation. However, the ratios of contact terms for a nucleus A to deuterium (for spin-1 pn pairs) or to 4He (for all NN pairs) are independent of the nuclear interaction model and are the same for both short-distance and high-momentum pairs. This implies that the relative abundance of short-range pairs in the nucleus is a long-range (mean-field) quantity that is insensitive to the short-distance nature of the nuclear force. Measurements of exclusive (e,e'NN) pair breakup processes are instead more sensitive to short-range dynamics