Hadron form factors using density-density correlators

TL;DR

This paper introduces a method using gauge invariant density-density correlators and stochastic techniques to analyze hadron structure, successfully extracting pion form factors at high momentum transfers up to 6 GeV$^2$.

Contribution

It presents a novel approach combining stochastic methods and density-density correlators for precise hadron form factor calculations.

Findings

First results for the pion form factor at high momentum transfer.

Demonstrates the effectiveness of stochastic techniques in hadron structure analysis.

Provides detailed insights into hadron deformation and form factors.

Abstract

Gauge invariant density-density correlators yield detailed information on hadron structure. Hadron deformation and form factors can be extracted for momentum transfers up to about 6 GeV$^2$. We use stochastic techniques and dilution to compute the all to all propagator required for the exact evaluation of density-density correlators. We present first results for the pion form factor.