A Study of Hadron Deformation in Lattice QCD

Abstract

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 $\Delta$. Using the one-end trick we obtain results that clearly show deformation of the rho-meson.

14 pages, 14 figures, 3 tables

References in corpus (24)

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• The Nf=0 heavy quark potential from short to intermediate distances
• Practical all-to-all propagators for lattice QCD
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• Hadron deformation from Lattice QCD
• Hadron wave functions and the issue of nucleon deformation
• The pentaquark potential, mass and density-density correlator
• The Matter Density Distribution for Mesons and Baryons
• Gauge-invariant two- and three- density correlators
• Hadron Deformation and Form Factors from Lattice QCD
• Meson Form-factors and Wave-functions with Wilson fermions

Cited by in corpus (16)

• Neutron halo in deformed nuclei
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• Graphene-based one-dimensional photonic crystal
• Electromagnetic form factors of the Delta with D-waves
• Wave Function of the Roper from Lattice QCD
• Nucleon Excited State Wave Functions from Lattice QCD
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• Double parton distributions in the pion from lattice QCD
• Double parton distributions in the nucleon from lattice QCD
• Mesonic and baryonic correlation functions at fine lattice spacings
• Accessing high-momentum nucleons with dilute stochastic sources
• State mixing and masses of the ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons from $n_f=1+1+1$ lattice QCD+QED
• Investigations of hadron structure on the lattice
• Double parton distributions with flavor interference from lattice QCD