We report a measurement of the p (p) over bar total cross section at root s
= 1.8 TeV at the Fermilab Tevatron Collider, using the luminosity independ
ent method. Our result is sigma(T) = 71.71 +/- 2.02 mb. We also obtained va
lues of the total elastic and total inelastic cross sections. (C) 1999 Publ
ished by Elsevier Science B.V. All rights reserved.