A at rest decays as

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

K^+

at rest decays as

K^+ \to \mu^+\nu_\mu

. Take

m_{K^+}c^2 = 493.677\,\mathrm{MeV}

m_{\mu}c^2 = 105.658\,\mathrm{MeV}

, and treat the neutrino as massless. ((a)) Find the common momentum magnitude

p^*

of the two products in the kaon's rest frame. ((b)) Find the energy of the muon,

E_\mu^*

, and of the neutrino,

E_\nu^*

, in that frame.

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