A secondary beamline delivers mesons of momentum

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

Particle Physics, Ch Invariant mass: decays, thresholds and the collider frame

Problem

A secondary beamline delivers

K^+

mesons of momentum

3.00\,\mathrm{GeV}/c

. The charged kaon has mass

493.7\,\mathrm{MeV}/c^2

and

c\tau = 3.711\,\mathrm{m}

. ((a)) Estimate the mean decay length of these kaons in the laboratory. ((b)) Estimate the distance downstream of the production point at which half of the original beam has decayed.

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