A hadron collider runs at instantaneous luminosity with colliding bunch pairs and…

PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Particles, interactions and experiment · Particles, interactions and experiment

Symmetry and Flavour, Ch The collider experiment: from bunch populations to a measured cross section

Problem

A hadron collider runs at instantaneous luminosity

\mathcal{L} = 5.0\times10^{33}\,\mathrm{cm^{-2}s^{-1}}

with

n_b = 1600

colliding bunch pairs and revolution frequency

f_{\rm rev} = 11\,\mathrm{kHz}

. Take the total inelastic proton-proton cross section to be

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

. ((a)) Calculate the crossing rate

n_bf_{\rm rev}

. ((b)) Calculate the mean number of inelastic collisions per bunch crossing,

\mu

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