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How are particles classified into hadrons and leptons, and what conservation rules govern their interactions?

Hadrons (baryons and mesons), leptons, the conservation of baryon number, lepton number, strangeness and charge, the properties of the kaon and pion, and the decay of particles.

A focused answer to AQA A-Level Physics 3.2.1.5 and 3.2.1.6, covering hadrons (baryons and mesons), leptons, the conservation of baryon number, lepton number, strangeness and charge, and how these rules decide whether a particle interaction is allowed.

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  1. What this dot point is asking
  2. Hadrons and leptons
  3. Mesons: pions and kaons
  4. Conservation laws
  5. Try this

What this dot point is asking

AQA specification points 3.2.1.5 and 3.2.1.6 want you to classify particles as hadrons (baryons or mesons) or leptons, recall the properties of protons, neutrons, pions, kaons, electrons, muons and neutrinos, and apply the conservation laws for charge, baryon number, lepton number and strangeness to decide whether an interaction can happen.

Hadrons and leptons

The proton is the only stable baryon; all other baryons eventually decay into protons. Leptons are believed to be truly fundamental (not made of anything smaller), whereas hadrons are composite, made of quarks.

Mesons: pions and kaons

The pion (π\pi) is the lightest meson and is the exchange particle modelled for the strong nuclear force between nucleons; it comes in three charge states (π+\pi^+, π0\pi^0, π\pi^-). The kaon (K\text{K}) is heavier and is a strange particle: it is produced through the strong interaction but decays through the weak interaction, often into pions or into a muon and a neutrino. Strange particles like the kaon have a non-zero strangeness quantum number.

Conservation laws

Strange particles are always created in pairs (so total strangeness is conserved at creation through the strong interaction) but decay individually through the weak interaction, which is why their decay can change the total strangeness by ±1\pm 1.

Try this

Q1. State whether the muon is a hadron or a lepton, and give its lepton number. [2 marks]

  • Cue. A lepton, with muon lepton number +1+1.

Q2. Explain why the decay K+μ++νμ\text{K}^+ \rightarrow \mu^+ + \nu_\mu proceeds through the weak interaction. [2 marks]

  • Cue. Strangeness changes (the kaon has S=+1S = +1, the products have S=0S = 0), so only the weak interaction can do it.

Q3. State the quark content (in terms of number of quarks) of a baryon. [1 mark]

  • Cue. Three quarks.

Exam-style practice questions

Practice questions written in the style of AQA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

AQA 20194 marksDetermine whether the interaction p+πK++π{}\text{p} + \pi^- \rightarrow \text{K}^+ + \pi^- is permitted, by applying the relevant conservation laws.
Show worked answer →

Check charge: left (+1)+(1)=0(+1) + (-1) = 0; right (+1)+(1)=0(+1) + (-1) = 0, conserved.

Check baryon number: left, proton +1+1 and pion 00, total +1+1; right, kaon 00 and pion 00, total 00. Baryon number is not conserved (it changes from +1+1 to 00).

Since baryon number is always conserved and it is not here, the interaction is forbidden (regardless of strangeness).

Markers reward checking charge and baryon number, identifying the baryon number violation, and concluding the interaction is not allowed.

AQA 20214 marksExplain the difference between a baryon and a meson in terms of their quark content and baryon number, and state which baryon is stable.
Show worked answer →

A baryon is made of three quarks and has baryon number +1+1 (an antibaryon, made of three antiquarks, has baryon number 1-1). Examples are the proton and neutron.

A meson is made of one quark and one antiquark, so its baryon number is 00. Examples are the pion and kaon.

The proton is the only stable baryon; all other baryons eventually decay, ultimately into protons.

Markers reward three quarks (baryon, B=+1B = +1) versus quark-antiquark (meson, B=0B = 0), and identifying the proton as the stable baryon.

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