Decay, Collisions and Particles Flashcards

1
Q

Fermi’s Golden Rule

A

P(i->f) α Amplitude(FD) x Phase Space (Left over energy for Kinetic Energy)

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2
Q

Decay Equation

A
  • N(t) = N(0) · e^(−tΓ)
  • N = Number of particles
  • t = time
  • Γ = decay rate
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3
Q

Average lifetime of particle equation

A
  • Γ = 1/τ
  • Γ = decay rate
  • τ = average life time of particle
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4
Q

Branching Ratio

A
  • BR = Γ / ΣΓ
  • Higher the BR, the more important the force is in the decay
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5
Q

Fastest to Slowest decays for each Force

A

Strong, EM, Weak

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6
Q

Mandelstam-s definition

A

Energy Available for particle creation in final state

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7
Q

Mandelstam-s Equation - COM

A

s = (E1 +E2)^2

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8
Q

Mandelstam-s - FT

A

s = (2E1m2c^2)^1/2

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9
Q

Beta Decay

A
  • Neutron -> Proton + Electron + Anti Electron neutron
  • Half the heatoutput of the Earth
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10
Q

Cosmic Rays

A
  • High Energy Particles
  • Eg protons
  • Source: Astrophysical objects (Pulsars)
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11
Q

Solar Particles

A
  • Solar Wind
  • Solar Neutrinos
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12
Q

Solar Particles - Solar Wind

A
  • Plasma of charged particles emitted from solar corona
  • Earth’s Magnetic field deflects Solar Wind
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13
Q

Solar Particles - Solar neutrinos

A

Neutrinos generated by the fusion process inside the sun

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14
Q

Virtual Particles

A

Particles that do not follow standard energy-momentum relationship to satisfy kinematic constraints

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15
Q

Mandelstam-s equation

A

s = (E1 + E2)^2 - ((p1 +p2)^2)c^2

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16
Q

Mandelstam-s in the FT frame if body 2 is at rest

A

s = (E1m2c^2) +(m1c^2)^2 +(m2c^2)^2