How fast does the multiplicity of particle production in p-p collisions really increase with primary energy

Physics

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Collision Rates, Cosmic Ray Showers, High Energy Interactions, Particle Collisions, Particle Production, Primary Cosmic Rays, Heisenberg Theory, Particle Energy

Scientific paper

It is well known that the dependence of the mean multiplicity, m, of particles produced in high p-p collisions on the primary laboratory energy E(0) is much weaker than E(0) to the 1/2 power, the fastest rise allowed kinematically or implied by Heisenberg's original theory. This paper examines the problem of predicting the evolution of m with E(0) at superhigh energies (e.g., beyond 10 TeV), not only from an extrapolation of fits to values of m observed in the energy range covered by present accelerators, but by using regularities observed in the structure of multiplicity distributions. It is found that a very fast increase is asymptotically expected provided these regularities continue to hold at very high E(0).

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