Low Energy n:n: Scattering and the Veneziano Model with a Subtraction Constant*)

A simple model for low energy rm scattering is proposed. It is made up of the Veneziano amplitude with a single satellite term and a non-Veneziano amplitude (non-resonating back ground or Pomeron term). The rc+n- and rc+rc0 total cross sections are calculated at low energies using the amplitudes. The results are consistent with the data. Moreover, the rcrc s-wave scattering lengths are estimated. The results are consistent with those of current algebra. It is shown that the contribution from a non-Veneziano amplitude is not negligible even at low energies within the present model. It is also shown that the present model ap-proximately fulfills threshold unitarity