Decay, Collisions and Particles Flashcards
Fermi’s Golden Rule
P(i->f) α Amplitude(FD) x Phase Space (Left over energy for Kinetic Energy)
Decay Equation
- N(t) = N(0) · e^(−tΓ)
- N = Number of particles
- t = time
- Γ = decay rate
Average lifetime of particle equation
- Γ = 1/τ
- Γ = decay rate
- τ = average life time of particle
Branching Ratio
- BR = Γ / ΣΓ
- Higher the BR, the more important the force is in the decay
Fastest to Slowest decays for each Force
Strong, EM, Weak
Mandelstam-s definition
Energy Available for particle creation in final state
Mandelstam-s Equation - COM
s = (E1 +E2)^2
Mandelstam-s - FT
s = (2E1m2c^2)^1/2
Beta Decay
- Neutron -> Proton + Electron + Anti Electron neutron
- Half the heatoutput of the Earth
Cosmic Rays
- High Energy Particles
- Eg protons
- Source: Astrophysical objects (Pulsars)
Solar Particles
- Solar Wind
- Solar Neutrinos
Solar Particles - Solar Wind
- Plasma of charged particles emitted from solar corona
- Earth’s Magnetic field deflects Solar Wind
Solar Particles - Solar neutrinos
Neutrinos generated by the fusion process inside the sun
Virtual Particles
Particles that do not follow standard energy-momentum relationship to satisfy kinematic constraints
Mandelstam-s equation
s = (E1 + E2)^2 - ((p1 +p2)^2)c^2