Survival probability for exclusive central diffractive production of colorless states at the LHC

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 the 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 similar to 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 that it be measured at the Tevatron so as to minimize the possible ambiguity in the calculation of the survival probability at the LHC.