Particle Physics and the Standard Model

Quarks, leptons, bosons; conservation laws; particle interactions; Feynman diagrams

# Particle Physics and the Standard Model — A-Level Physics

Particle physics seeks to understand the fundamental building blocks of matter and the forces between them. The Standard Model organises all known particles and three of the four fundamental forces.


1. The Standard Model

Fermions (Matter Particles)

Quarks (feel the strong force):

Quark Charge Antiquark Charge
Up (u) +2/3 Anti-up (ū) −2/3
Down (d) −1/3 Anti-down (d̄) +1/3
Strange (s) −1/3 Anti-strange (s̄) +1/3
Charm (c) +2/3 Top (t) +2/3
Bottom (b) −1/3

Leptons (don't feel the strong force):

  • Electron (ee^-), electron neutrino (νe\nu_e)
  • Muon (μ\mu^-), muon neutrino (νμ\nu_\mu)
  • Tau (τ\tau^-), tau neutrino (ντ\nu_\tau)

Bosons (Force Carriers)

Force Boson Range
Strong Gluon ~10⁻¹⁵ m
Electromagnetic Photon Infinite
Weak W⁺, W⁻, Z⁰ ~10⁻¹⁸ m
(Gravity) (Graviton?) Infinite

The Higgs boson gives particles mass.

2. Hadrons

Baryons (3 quarks): proton (uud), neutron (udd) Mesons (quark + antiquark): pion (π), kaon (K)

Baryon Number

  • Quarks: baryon number = +1/3
  • Antiquarks: baryon number = −1/3
  • Baryons: B = +1; Antibaryons: B = −1; Mesons: B = 0

Strangeness

  • Strange quark: strangeness = −1
  • Anti-strange: strangeness = +1
  • Conserved in strong and EM interactions; can change by 0 or ±1 in weak interactions

3. Conservation Laws

Always conserved: charge, baryon number, lepton number Conserved in strong/EM (not necessarily weak): strangeness

4. Beta Decay in Quark Terms

Beta-minus: np+e+νˉen \to p + e^- + \bar{\nu}_e Quark level: du+e+νˉed \to u + e^- + \bar{\nu}_e (via W⁻ boson)

Beta-plus: pn+e++νep \to n + e^+ + \nu_e Quark level: ud+e++νeu \to d + e^+ + \nu_e (via W⁺ boson)

5. The Photoelectric Effect and Wave-Particle Duality

Photoelectric effect: Light behaves as particles (photons). E=hfE = hf; work function: ϕ=hf0\phi = hf_0 12mvmax2=hfϕ\frac{1}{2}mv_{\max}^2 = hf - \phi

de Broglie wavelength: All matter has a wave nature. λ=hp=hmv\lambda = \frac{h}{p} = \frac{h}{mv}

Electron diffraction through thin films proves wave nature of electrons.

6. Practice Questions

    1. State the quark composition of a proton and a neutron. (2 marks)
    1. Write the beta-minus decay equation and identify the exchange boson. (3 marks)
    1. A kaon K⁺ has quark composition us̄. State its charge, baryon number, and strangeness. (3 marks)
    1. An electron is accelerated through 5000 V. Calculate its de Broglie wavelength. (3 marks)

    Answers

    1. Proton: uud (+2/3 + 2/3 − 1/3 = +1). Neutron: udd (+2/3 − 1/3 − 1/3 = 0).

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Summary

  • Standard Model: quarks + leptons + bosons
  • Baryons = 3 quarks; Mesons = quark + antiquark
  • Conserved: charge, baryon number, lepton number
  • Weak interaction: changes quark flavour via W/Z bosons
  • Wave-particle duality: λ=h/mv\lambda = h/mv

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