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In 2013, the Large Hadron Collider provided proton-lead and lead-protoncollisions at the center-of-mass energy per nucleon pair$\sqrt{s_{\rm{NN}}}=5.02$ TeV. Van der Meer scans were performed for bothconfigurations of colliding beams, and the cross section was measured for tworeference processes, based on particle detection by the T0 and V0 detectors,with pseudo-rapidity coverage $4.6<\eta< 4.9$, $-3.3<\eta<-3.0$ and $2.8<\eta<5.1$, $-3.7<\eta<-1.7$, respectively. Given the asymmetric detector acceptance,the cross section was measured separately for the two configurations. Themeasured visible cross sections are used to calculate the integrated luminosityof the proton-lead and lead-proton data samples, and to indirectly measure thecross section for a third, configuration-independent, reference process, basedon neutron detection by the Zero Degree Calorimeters.

Measurement of visible cross sections in proton-lead collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV in van der Meer scans with the ALICE detector