  Neglecting spin effects, one introduces here a subtle approximation for the
scattering angle, which allows the obtaining of a logarithmic leading Regge
pole, consistent with the Froissart-Martin bound. A simple parameterization is
also introduced for the proton-proton total cross section. Fitting procedures
are implemented only for the highest energy experimental data available. The
intercept for a linear approach is obtained, indicating the presence of a soft
pomeron. The Tsallis entropy in the impact parameter space is calculated using
the Regge pole formalism. This entropy depends on a free parameter, whose value
implies the existence of a central or non-central maximum value for the
entropy. The hollowness effect is discussed in terms of this parameter.
