A future upgrade of a large hadron collider is designed to run at an instantaneous…

PHYSICS · Subjective · Fermi University Physics · Particle Physics & Quantum Fields · Particles, interactions and experiment · Particles, interactions and experiment

Particle Physics, Ch Accelerators and colliders: energy, luminosity and reach

Problem

A future upgrade of a large hadron collider is designed to run at an instantaneous luminosity

\mathcal{L} = 5\times10^{34}\,\mathrm{cm^{-2}\,s^{-1}}

, using

n_{\rm b} = 2760

bunches per beam circulating at a revolution frequency

f_{\rm rev} = 11245\,\mathrm{Hz}

. The total inelastic proton-proton cross section at this energy is about

\sigma_{\rm inel} = 80\,\mathrm{mb}

. Estimate the mean number of inelastic interactions produced at every bunch crossing (the pile-up).

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