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The inclusive photon energy spectra measured by the Large Hadron Colliderforward (LHCf) experiment in the very forward region of LHC proton-protoncollisions at $\sqrt{s}=$ 900 GeV are reported. The results from the analysisof 0.30 $\mathrm{nb^{-1}}$ of data collected in May 2010 in the twopseudorapidity regions of $\eta > 10.15$ and $8.77 < \eta < 9.46$ are comparedwith the predictions of the hadronic interaction models DPMJET 3.04, EPOS 1.99,PYTHIA 8.145, QGSJET I -.1em I-03 and SIBYLL 2.1, which are widely used inultra-high-energy cosmic-ray experiments. EPOS 1.99 and SYBILL 2.1 show areasonable agreement with the spectral shape of the experimental data, whereasthey predict lower cross-sections than the data. The other models, DPMJET 3.04,QGSJET I -.1em I-03 and PYTHIA 8.145, are in good agreement with the data below300 GeV but predict harder energy spectra than the data above 300 GeV. Theresults of these comparisons exhibited features similar to those for thepreviously reported data for $\sqrt{s}=$ 7 TeV collisions.

Measurement of zero degree inclusive photon energy spectra for $\sqrt{s}=$ 900 GeV proton-proton collisions at LHC