The ATLAS Collaboration has carried out a study of di ractive dijet produc- tion in proton-proton collisions at a centre-of-mass energy of p s = 7 TeV at the LHC. The data distributions are compared with Monte Carlo models and the rapidity gap sur- vival probability has been estimated in the kinematic region with high di ractive contri- bution. Prospects for exclusive jet production studies with the forward proton tagging capability of the AFP sub-detector of ATLAS are also discussed. First results based on data taken jointly with the ATLAS and the LHCf detectors in a p+Pb run will also be shown. In addition, the measurement of the cross-section for the exclusive production of di-lepton pairs in pp collisions at p s = 7 TeV is discussed.
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