  In this paper we discuss the survival probability for exclusive central
diffractive production of a colorless small size system at the LHC. This
process has a clear signature of two large rapidity gaps. Using the eikonal
approach for the description of soft interactions, we predict the value of the
survival probability to be about 5~6% for single channel models, while for a
two channel model the survival probability is about 3%. The dependence of the
survival probability factor (damping factor) on the transverse momenta of the
recoiled protons is discussed, and we suggest it be measured at the Tevatron so
as to minimize the possible ambiguity in the calculation of survival
probability at the LHC.
