Connecting scaling with short-range correlations

TL;DR

This paper investigates the physics of scaling in electron-nucleus scattering by modeling the momentum distribution with both long- and short-range correlations, analyzing how the response functions approach scaling at different momentum transfers.

Contribution

It introduces a model incorporating both long- and short-range contributions to the momentum distribution within the Green function framework, linking nuclear interactions to scaling behavior.

Findings

Saturation of nuclear matter achieved with medium-range attraction and short-range repulsion.

The shape of the scaling function is characterized and its approach to scaling is analyzed.

The model connects the momentum distribution to electromagnetic response functions.

Abstract

We reexamine several issues related to the physics of scaling in electron scattering from nuclei. A basic model is presented in which an assumed form for the momentum distribution having both long- and short-range contributions is incorporated in the single-particle Green function. From this one can obtain saturation of nuclear matter for an NN interaction with medium-range attraction and short-range repulsion, and can obtain the density-density polarization propagator and hence the electromagnetic response and scaling function. For the latter, the shape of the scaling function and how it approaches scaling as a function of momentum transfer are both explored.