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Extracting the number of short-range correlated nucleon pairs from inclusive electron scattering data

R. Weiss1, A. W. Denniston2, J. R. Pybus2, O. Hen2, E. Piasetzky3, A. Schmidt4, L. B. Weinstein5, and N. Barnea1,*

  • 1The Racah Institute of Physics, The Hebrew University, Jerusalem 9190401, Israel
  • 2Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 3School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
  • 4George Washington University, Washington, DC 20052, USA
  • 5Old Dominion University, Norfolk, Virginia 23529, USA

  • *Corresponding author: nir@phys.huji.ac.il

Phys. Rev. C 103, L031301 – Published 15 March, 2021

DOI: https://doi.org/10.1103/PhysRevC.103.L031301

Abstract

The extraction of the relative abundances of short-range correlated (SRC) nucleon pairs from inclusive electron scattering is studied using the generalized contact formalism (GCF) with several nuclear interaction models. GCF calculations can reproduce the observed scaling of the cross-section ratios for nuclei relative to deuterium at high xB and large Q2, a2=(σA/A)/(σd/2). In the nonrelativistic instant-form formulation, the calculation is very sensitive to the model parameters and only reproduces the data using parameters that are inconsistent with ab initio many-body calculations. Using a light-cone GCF formulation significantly decreases this sensitivity and improves the agreement with ab initio calculations. The ratio of similar mass isotopes, such as Ca40 and Ca48, should be sensitive to the nuclear asymmetry dependence of SRCs, but is found to also be sensitive to low-energy nuclear structure. Thus the empirical association of SRC pair abundances with the measured a2 values is only accurate to about 20%. Improving this will require cross-section calculations that reproduce the data while properly accounting for both nuclear structure and relativistic effects.

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