PhysicsParticles › Classification of particles

Classification of particles

The many known particles sort into a short hierarchy. Hadrons feel the strong interaction and divide into baryons and mesons; leptons are fundamental and do not feel it. Baryon number, lepton number and strangeness are the quantum numbers that keep the classification consistent.

Builds on Particle interactions and exchange particles.

IN THIS TOPIC

  • Classify particles as hadrons (baryons or mesons) or leptons, with the specified examples.
  • Say which interactions each family feels, and why that is the sorting rule.
  • Use baryon number and the two lepton numbers as conserved quantum numbers.
  • Describe strange particles, produced in pairs by the strong interaction and decaying by the weak.

COMMON MISCONCEPTION

Matter is just protons, neutrons and electrons.

The family tree

Twentieth-century experiments turned up far more particles than anyone wanted, and the zoo only made sense once it was sorted by which interactions each particle feels. Hadrons are the particles subject to the strong interaction. Leptons are deaf to it. They are subject to the weak interaction, and the charged ones feel the electromagnetic force as well. The lepton list here is short, being the electron, the muon, their neutrinos of electron type and muon type, and the antiparticles of all of them. So far as every experiment can tell, leptons are genuinely fundamental.

The particle family tree: hadrons split into baryons and mesons, while leptons stand apart as fundamentalparticleshadronsleptonsbaryonsp, nthree quarksmesonsπ, Kquark + antiquarke, μ, ν(and antiparticles)fundamentalhadrons feel the strong interaction; leptons do not
FIG. 1The tree. Hadrons split into baryons (p, n) and mesons (π, K), while the leptons, the electron, the muon and the neutrinos, stand apart as fundamental.

Hadrons split again. The baryons take the proton and neutron as their specified examples, along with the antibaryons, the antiproton and the antineutron. The mesons on the syllabus are the pion and the kaon. A pion holds a job title as well, being the exchange particle of the strong nuclear force between nucleons. A kaon is chiefly famous for what it does next, which is to decay into pions, a decay the quarks lesson takes apart quark by quark.

The bookkeeping numbers

Each family gets a counting number. Baryon number B runs +1 for a baryon, −1 for an antibaryon and 0 for mesons and leptons. B is conserved in every interaction, and the proton is the lightest baryon there is, so the proton is the only stable free baryon. Every other baryon eventually decays down to a proton in steps, because that baryon number has to end up somewhere and there is nowhere lighter to put it.

The word free is doing quiet work there. A neutron on its own lasts about a quarter of an hour, while a neutron bound inside a stable nucleus never decays at all, since the binding-energy accounts leave it nothing to gain. Write the spec sentence in the exam, and keep the reason for the nuclei around you in your back pocket.

Lepton number L works the same way, +1 for leptons and −1 for antileptons, but it is conserved separately for the electron family and the muon family. An interaction must balance electron-type lepton number and muon-type lepton number individually. The muon itself is unstable and decays into an electron, with the neutrinos required to keep both family ledgers straight.

Strange particles

Kaons misbehave instructively. They are produced by the strong interaction, copiously and fast, and yet they decay by the weak interaction, slowly. Resolving that needs a third quantum number, strangeness, symbol S.

Strange particles are created in pairs by the strong interaction, then decay one at a time by the weakmade: in pairs, by the strongS = +1S = −1ΔS = 0: strangeness conserveddecays: alone, by the weakKS = −1π πS = 0ΔS = +1: only the weak allows it
FIG. 2Strange particles are created in pairs, strangeness +1 and −1 together, and decay alone, the weak interaction changing S by one.

Strange particles are always created in pairs, one carrying S = +1 and the other S = −1, because the strong interaction conserves strangeness and can therefore make it only in cancelling pairs. The weak interaction keeps looser books. In a weak process strangeness may change by 0, +1 or −1, which is how a lone kaon decays at all, and why it has to wait for the weak interaction to get round to it. One cultural note belongs here. The discoveries in this zoo came out of large collaborations of scientists and engineers, and their collective checking is how a new particle becomes accepted knowledge.

GUIDED PRACTICE

Sort the zoo

Classify each of the following, as precisely as the family tree allows, and say which feel the strong interaction: a muon, a π+, a neutron, an electron neutrino. Sort them.

Show the working

The muon and the electron neutrino are leptons: fundamental, and deaf to the strong interaction.

The π+ is a meson and the neutron a baryon, so both are hadrons and both feel the strong force. Every classification question works this way. Place the particle on the tree and its interactions follow.

ASSESSMENT FOCUS

  • Classify by interaction first. Hadrons feel the strong interaction and leptons do not. Most mark schemes open with that one sentence.
  • Know the specified examples cold. Baryons are p and n, with the antiproton and antineutron as antibaryons, and the mesons are π and K. Baryon numbers run +1, −1 and 0 in that order.
  • The lepton list AQA tests stops at the electron, the muon, their electron-type and muon-type neutrinos and the antiparticles of all of them, so a heavier lepton offered in an answer is effort spent outside the specification.
  • The proton is the only stable baryon, and every other baryon eventually decays to one. Quote that as written, because it is a specification sentence. Strictly it is the only stable free baryon, since bound neutrons in a stable nucleus do not decay, and no mark scheme will penalise you for saying so.
  • Lepton number is conserved per family, so check electron-type and muon-type separately or the balance quietly fails.
  • Strange particles are produced in pairs by the strong interaction and decay by the weak. Strangeness is conserved exactly in strong interactions and may change by 0 or ±1 in weak ones.

CHECK YOURSELF

A kaon decays into pions. Identify the interaction responsible and give two pieces of evidence for your answer.

Show a hint

What happens to strangeness, and how quickly do these decays happen?

Show the answer

The decay is a weak interaction.

The first piece of evidence is that strangeness changes. A kaon carries S = ±1 while pions carry S = 0, and only the weak interaction permits ΔS = ±1, since the strong interaction conserves strangeness exactly.

The second is timing. Strong processes are effectively instantaneous, and the kaon's comparatively long life marks it out as a particle waiting for the weak interaction to act.

Hadrons feel the strong force. Leptons are fundamental.

Strangeness is born in pairs and broken only weakly.

WORKBOOK

Printable practice for this topic: original exam-style questions with room to work, and a fully worked answer book. Free to use; please do not redistribute or sell.

20 questions on this topicAnswer them one at a time and mark yourself against the mark scheme.Practise this topic

Or read them with their mark schemes on the classification of particles questions page.

9 flashcards on this topicDefinitions, off-sheet equations and a spot-the-error card, scheduled by spaced repetition in your browser.Revise with flashcards

CHECK YOUR PROGRESS

Rate how confident you feel with each objective for this lesson. Ratings are saved in this browser, on this device, unless you sign in.

  • Classify particles as hadrons (baryons or mesons) or leptons, with the specified examples.
  • Say which interactions each family feels, and why that is the sorting rule.
  • Use baryon number and the two lepton numbers as conserved quantum numbers.
  • Describe strange particles, produced in pairs by the strong interaction and decaying by the weak.

Open the full revision checklist to track your progress across the whole unit.