Abstract

We provide a systematic study of the isospin composition and neutron-to-proton (NZ) ratio dependence of nuclear short-range correlations (SRC) across the nuclear mass table. We use the low-order correlation operator approximation (LCA) to compute the SRC contribution to the single-nucleon momentum distributions for 14 different nuclei from A=4 to A=208. Ten asymmetric nuclei are included for which the neutrons outnumber the protons by a factor of up to 1.54. The computed momentum distributions are used to extract the pair composition of the SRC. We find that there is a comprehensive picture for the isospin composition of SRC and their evolution with nucleon momentum. We also compute the non-relativistic kinetic energy of neutrons and protons and its evolution with nuclear mass A and NZ. Confirming the conclusions from alternate studies it is shown that the minority species (protons) become increasingly more short-range correlated as the neutron-to-proton ratio increases. We forge connections between measured nucleon-knockout quantities sensitive to SRC and single-nucleon momentum distributions. It is shown that the LCA can account for the observed trends in the data, like the fact that in neutron-rich nuclei the protons are responsible for an unexpectedly large fraction of the high-momentum components.

Highlights

  • Nuclear long-range and short-range correlations (SRC) are marked by different energy-momentum scales

  • As their SRC part is dominated by 2N correlations, a connection can be made to recent results of experimental studies that seek for SRC sensitive processes through the selection of 2N knockout events matching the kinematic conditions of the major SRC contributions to the single-nucleon momentum distribution

  • The low-order correlation operator approximation (LCA) starts from the idea that the majority of SRC corrections to the independent-particle model (IPM) are of the 2N type

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Summary

Introduction

Nuclear long-range and short-range correlations (SRC) are marked by different energy-momentum scales. Monte Carlo calculations based on the Schrödinger equation with a realistic inter-nucleon interaction, are feasible for determining the groundstate properties Due to their enormous computational cost and the curse of dimensionality, those calculations cannot go beyond A = 40 to date [21,22,23]. In this work we start from single-nucleon momentum distributions for a range of nuclei As their SRC part is dominated by 2N correlations, a connection can be made to recent results of experimental studies that seek for SRC sensitive processes through the selection of 2N knockout events matching the kinematic conditions of the major SRC contributions to the single-nucleon momentum distribution

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