A Study of Hadron Deformation in Lattice QCD
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We develop the formalism for the evaluation of density-density correlators in lattice QCD that includes techniques for the computation of the all-to-all propagators involved. A novel technique in this context is the implementation of the one-end trick in the meson sector. Density-density correlators provide a gauge invariant definition for the hadron wave function and yield information on hadron deformation. We evaluate density-density correlators using two degenerate flavors of dynamical Wilson fermions for the pion, the rho-meson, the nucleon and the $Δ$. Using the one-end trick we obtain results that clearly show deformation of the rho-meson.
14 pages, 14 figures, 3 tables
14 pages, 14 figures, 3 tables