  Total reaction cross sections have been predicted for neucleons scattering
from nuclei ranging in mass 6 to 238 and for projectile energies from just
above noticeable giant resonance excitation to 300 MeV. So also have been the
mass variations of those cross sections at selected energies when they have
been calculated using coordinate space optical potentials formed by full
folding effective two-nucleon (NN) interactions with one body density matrix
elements (OBDME) of the nuclear ground states. Good comparisons with data
result when effective NN interactions defined by medium modification of free NN
t matrices are used. However, there is a simple three parameter functional form
that reproduces the partial wave total reaction cross section values determined
from those optical potential calculations; a functional form also maps the
total scattering cross section partial wave elements. Adjusting the theoretical
defined parameter values has enabled us to fit the actual measured data values
from scattering involving (15) nuclei spanning the mass range from 9Be to 238U
and for proton energies from 10 to 300 MeV. Likewise total cross sections for
neutron cross sections for neutron scattering from various nuclei can be
equally well reproduced. Of import is that the three parameter values vary
smoothly with mass and energy.
