Lattice Charge Overlap I: Elastic Limit of Pi and Rho Mesons

Abstract

Using lattice QCD on a $16^3\times 24$ lattice at $\beta =6.0$, we examine the elastic limit of charge overlap functions in the quenched approximation for the pion and rho meson; results are compared to previous direct current insertion calculations. A good signal is seen for the pion, but the electric and magnetic rho meson results are considerably noisier. We find that the pion and rho results are characterized by a monopole mass to rho mass ratio of $0.97(8)$ and $0.73(10)$, respectively. Assuming the functional form of the electric and magnetic form factors are the same, we also find a rho meson g-factor of $g=2.25(34)$, consistent with the nonrelativistic quark model.

19 pages a uuencoded, compressed file (LateX). Uses more configurations and computes correlated chi-squareds on fits. Figures still w/o labels

References in corpus (8)

• Decuplet Baryon Structure from Lattice QCD
• Electromagnetic form factors of the $\rho$ meson in a light-front constituent quark model
• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• $\pi NN$ and Pseudoscalar Form Factors from Lattice QCD
• Chiral Limit of Nucleon Lattice Electromagnetic Form Factors
• Fitting Correlated Hadron Mass Spectrum Data
• Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD
• Lattice Charge Overlap: Towards the Elastic Limit

Cited by in corpus (14)

• Pseudoscalar and vector meson form factors from lattice QCD
• Magnetic moments of vector, axial, and tensor mesons in lattice QCD
• Rho meson form factors in a confining Nambu--Jona-Lasinio model
• Determination of the properties of vector mesons in external magnetic field by Quenched $SU(3)$ Lattice QCD
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• The magnetic moment of the ρ-meson
• Electromagnetic form factors of the (rho) meson in light cone QCD sum rules
• Magnetic moment of the (rho) meson in light cone QCD
• Continuum Moment Equations on the Lattice
• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Lattice Investigation of the DMO Sum Rule
• Charged pion electric polarizability from lattice QCD
• Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints
• The next-to-leading order corrections to rho meson electromagnetic form factors in the $k_T$ factorization approach