Measurement of energy flow, cross section and average inelasticity of forward neutrons generated in $\mathrm{\sqrt{s} = 13 TeV}$ proton-proton collisions with the LHCf Arm2 detector

In this paper, we report the measurement of the energy flow, the cross section and the average inelasticity of forward neutrons (+ antineutrons) generated in $\mathrm{\sqrt{s} = 13 TeV}$ proton-proton collisions. These quantities are obtained from the inclusive differential production cross section, measured using the LHCf Arm2 detector at the CERN Large Hadron Collider. The measurements are relative to six pseudorapidity regions: three of them ($\eta > 10.75$, $8.99 10.76$, whereas, at lower pseudorapidity, the results indicate a still significant but less serious deviation. In this last case, depending on the pseudorapidity region, the generator showing the best overall agreement with data is either SIBYLL 2.3 or EPOS-LHC. Regarding the other quantities derived from these distributions, the observed energy flow and cross section are well reproduced by EPOS-LHC, apart from the most forward region. On the other side, the average inelasticity measured by our experiment is compatible with QGSJET II-04 predictions only, even if no generator has a satisfactorily agreement with the observed elasticity distribution.