I compared three formulas:
Regge Theory:
Found in physical review D, part I, 1 aug 1994, pg 1335, table 33.2
CERN-HERA-COMPAS least squares fits:
Found in physical review D, part I, 1 aug 1994, pg 1335, table 33.3
P. Shukla:
Found in 'Glauber Model for Heavy Ion Collisions From Low Energies To High Energies', pg. 8
Note: He gives proton-proton cross section as function of betaprojectile in the lab frame in units of fm2 and the neutron-proton cross section as a funtion of center of mass beta in units of barns.
Here is a plot comparing the three formulas, this time all in the same units.