Lattice Charge Overlap: Towards the Elastic Limit

TL;DR

This paper investigates charge overlap measurements in lattice QCD for pions, analyzing charge distribution evolution, extracting form factors, and discussing implications for hadron structure calculations.

Contribution

It introduces a numerical method for analyzing time-separated charge overlaps in lattice QCD, demonstrating the expected asymptotic behavior and extracting pion form factors.

Findings

Charge distribution evolution matches theoretical expectations.

Pion form factors are consistent with vector dominance models.

Results have implications for future hadron structure studies.

Abstract

A numerical investigation of time-separated charge overlap measurements is carried out for the pion in the context of lattice QCD using smeared Wilson fermions. The evolution of the charge distribution function is examined and the expected asymptotic time behavior $\sim e^{-(E_{q}-m_{\pi})t}$, where $t$ represents the charge density relative time separation, is clearly visible in the Fourier transform. Values of the pion form factor are extracted using point-to-smeared correlation functions and are seen to be consistent with the expected monopole form from vector dominance. The implications of these results for hadron structure calculations is briefly discussed.