A neutrino beam of mean energy is produced from the decay of charged pions. · PHYSICS Dataset #7225

Physics · modern-physics

Problem

A neutrino beam of mean energy ⟨Eν⟩=20GeV\left\langle E_{\nu}\right\rangle=20 \mathrm{GeV} is produced from the decay of charged pions. Estimate: - the energy of the pion beam (assumed monochromatic) that has generated the neutrino beam; - the divergence of the neutrino beam at the far-end detector located at a distance d=100 kmd=100 \mathrm{~km} downstream of the beampipe; - the order-of-magnitude for the neutrino-nucleon cross section; - the mean free path of the neutrinos in a detector with the density of water; - the ratio between the cross section on protons and on electrons.

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