LATTICE CHARGE OVERLAP .1. ELASTIC LIMIT OF PI-MESONS AND RHO-MESONS

Using lattice quantum chromodynamics on a 16(3) x 24 lattice at beta=6 .0, we examine the elastic limit of charge overlap functions in the qu enched approximation for the pion and rho mesons; results are compared to previous direct current insertion calculations. A good signal is s een for the pion, but the electric and magnetic rho meson results are considerably noisier. we find that the pion and rho results are charac terized by a monopole mass to rho mass ratio of 0.97(8) and 0.73(10), respectively. Assuming that the functional farms of the electric and m agnetic form factors are the same, we also find ti rho meson g-fractor of g=2.25(34), consistent with the nonrelativistic quark model. (C) 1 997 Academic Press.