Quark transverse charge densities in the from lattice QCD

2009/01/22 by Constantia Alexandrou, Tomasz Korzec, Giannis Koutsou +7 · 66 citations
Physics and Astronomy · #Baryon #Condensed matter physics #High-Energy Particle Collisions Research #Lattice QCD #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #Transverse plane #hep-lat #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2009.04.005

published in Nuclear Physics A 825(1-2), 115-144 (Elsevier BV) · 35 pages, 10 figures

arxiv created 2009/01/22 · openalex publication_date 2009/04/20 · arxiv updated 2010/04/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We extend the formalism relating electromagnetic form factors to transverse quark charge densities in the light-front frame to the case of a spin-3/2 baryon and calculate these transverse densities for the Δ(1232) isobar using lattice QCD. The transverse charge densities for a transversely polarized spin-3/2 particle are characterized by monopole, dipole, quadrupole, and octupole patterns representing the structure beyond that of a pure point-like spin-3/2 particle. We present lattice QCD results for the Δ-isobar electromagnetic form factors for pion masses down to approximatively 350 MeV for three cases: quenched QCD, two-degenerate flavors of dynamical Wilson quarks, and three flavors of quarks using a mixed action that combines domain wall valence quarks and dynamical staggered sea quarks. We extract transverse quark charge densities from these lattice results and find that the Δ is prolately deformed, as indicated by the fact that the quadrupole moment G_E2(0) is larger than the value -3 characterizing a point particle and the fact that the transverse charge density in a Δ⁺ of maximal transverse spin projection is elongated along the axis of the spin.

Citations

• Review of Particle Physics
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• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Maximal variance reduction for stochastic propagators with applications to the static quark spectrum
• Nucleon electromagnetic form factors
• Supergravity

Cited by

• Baryon structure from Lattice QCD
• Hadron structure from lattice quantum chromodynamics
• Magnetic moments and electromagnetic form factors of the decuplet baryons in chiral perturbation theory
• Electromagnetic form factors of theΩ−in lattice QCD
• Electromagnetic transition form factors, E2/M1 and C2/M1 ratios of the baryon decuplet