Proton-Proton Inelastic Scattering at Very High Energy

We measured the differential inelastic cross section $\frac{E{d}^{3}\ensuremath{\sigma}}{d{P}^{3}}$ for very high-energy proton-proton collisions at the CERN intersecting storage rings. We studied these inclusive cross sections for reactions of the type $p+p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}+\mathrm{anything}$ and $p+p\ensuremath{\rightarrow}p+\mathrm{anything}$ at energies equivalent to a lab energy of 500-1500 GeV. We found that in our kinematic range $\frac{E{d}^{3}\ensuremath{\sigma}}{d{P}^{3}}$ was equal to its value at accelerator energies, both in shape and normalization. This seems to support a type of scaling.