# Electromagnetic scaling functions within the Green's Function Monte Carlo approach

## TL;DR

This study investigates the electromagnetic response functions of helium-4 and carbon-12 nuclei using Green's Function Monte Carlo, revealing scaling properties and their relation to nucleon-density responses, with results aligning with experimental data.

## Contribution

It demonstrates that electromagnetic scaling functions can be obtained within a non-relativistic Green's Function Monte Carlo framework, showing consistency with experimental scaling behaviors.

## Key findings

- Scaling functions exhibit characteristic asymmetry similar to experimental data.
- Results are consistent with scaling of zeroth, first, and second kinds.
- A direct link between scaling and nucleon-density response functions is established.

## Abstract

We have studied the scaling properties of the electromagnetic response functions of $^4$He and $^{12}$C nuclei computed by the Green's Function Monte Carlo approach, retaining only the one-body current contribution. Longitudinal and transverse scaling functions have been obtained in the relativistic and non relativistic cases and compared to experiment for various kinematics. The characteristic asymmetric shape of the scaling function exhibited by data emerges in the calculations in spite of the non relativistic nature of the model. The results are consistent with scaling of zeroth, first and second kinds. Our analysis reveals a direct correspondence between the scaling and the nucleon-density response functions.