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Abstract The exclusive photoproduction of $$\mathrm {\Upsilon }\mathrm {(nS)} $$ Υ ( nS ) meson states from protons, $$\gamma \mathrm {p} \rightarrow \mathrm {\Upsilon }\mathrm {(nS)} \,\mathrm {p}$$ γ p → Υ ( nS ) p (with $$\mathrm {n}=1,2,3$$ n = 1 , 2 , 3 ), is studied in ultraperipheral $$\mathrm {p}$$ p Pb collisions at a centre-of-mass energy per nucleon pair of $$\sqrt{\smash [b]{s_{_{\mathrm {NN}}}}} = 5.02\,\text {TeV} $$ s NN = 5.02 TeV . The measurement is performed using the $$\mathrm {\Upsilon }\mathrm {(nS)} \rightarrow \mu ^+\mu ^-$$ Υ ( nS ) → μ + μ - decay mode, with data collected by the CMS experiment corresponding to an integrated luminosity of 32.6 $$\,\text {nb}^{-1}$$ nb - 1 . Differential cross sections as functions of the $$\mathrm {\Upsilon }\mathrm {(nS)} $$ Υ ( nS ) transverse momentum squared $$p_{\mathrm {T}} ^2$$ p T 2 , and rapidity y , are presented. The $$\mathrm {\Upsilon (1S)}$$ Υ ( 1 S ) photoproduction cross section is extracted in the rapidity range $$|y |< 2.2$$ | y | < 2.2 , which corresponds to photon–proton centre-of-mass energies in the range $$91
