Model of the bare Pomeron

Abstract

We present a model of the bare Pomeron. By bare Pomeron we mean a mechanism which accounts for constant total cross sections, zero real parts of scattering amplitudes, and limiting fragmentation (or Feynman scaling). No attempt is made to estimate higher-order corrections, which will presumably generate logarithmic growth, finite real parts, and violation of Feynman scaling. The model can be most clearly formulated in terms of the bag of Chodos et al., although it is probably more general. It consists in the exchange of confined, colored Yang-Mills gluons between confined quarks and appears to account qualitatively for the properties listed above, as well as Gottfried's model of multiplicities in hadron-nucleus collisions. The model in its present form is unable to account for Pomeron factorization. The nonrationalized coupling constant $\frac{g^2}{4\pi }$ is approximately $\frac{1}{3}$.