  Measurements of normalised cross sections for the production of photons and
neutrons at very small angles with respect to the proton beam direction in
deep-inelastic $ep$ scattering at HERA are presented as a function of the
Feynman variable $x_F$ and of the centre-of-mass energy of the virtual
photon-proton system $W$. The data are taken with the H1 detector in the years
2006 and 2007 and correspond to an integrated luminosity of $131
\mathrm{pb}^{-1}$. The measurement is restricted to photons and neutrons in the
pseudorapidity range $\eta>7.9$ and covers the range of negative four momentum
transfer squared at the positron vertex $6<Q^2<100$ GeV$^2$, of inelasticity
$0.05<y<0.6$ and of $70<W<245 $GeV. To test the Feynman scaling hypothesis the
$W$ dependence of the $x_F$ dependent cross sections is investigated.
Predictions of deep-inelastic scattering models and of models for hadronic
interactions of high energy cosmic rays are compared to the measured cross
sections.
