Lattice charge overlap and the elastic limit

The results of a lattice simulation of time-separated charge overlap for the charged pion are discussed. The expected result ∼ exp[-(Eq -mπ)t] for large charge density overlap time separations, t, is clearly visible in the Fourier transform, indicating that the elastic limit can be achieved at low to medium momentum values on present-sized lattices. The implications of this result for direct lattice simulations of hadron structure functions are discussed and a brief presentation of the lattice formalism is given. (orig.)