Lattice Charge Overlap: Towards the Elastic Limit

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.

8 pages, 7 figures appended as ps files

References in corpus (1)

• Chiral Limit of Nucleon Lattice Electromagnetic Form Factors

Cited by in corpus (6)

• Probing hadron wave functions in Lattice QCD
• Lattice Charge Overlap I: Elastic Limit of Pi and Rho Mesons
• Continuum Moment Equations on the Lattice
• Lattice Charge Overlap II: Aspects of Charged Pion Polarizability
• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Lattice Charge Overlap and the Elastic Limit