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Lesson 7 of 7Revolutions in Modern Physics
Unit 5 · Lesson 7 of 7

The Standard Model of Particle Physics

The small set of particles everything is built from — quarks, leptons and force-carrying bosons — how quarks combine into hadrons, what antimatter is, and how particle accelerators turn energy into new matter.

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Key things to remember

  1. 1Four fundamental forces, strongest to weakest: strong, electromagnetic, weak, gravity. Carriers: gluons, photons, W and Z bosons.
  2. 2Six quarks (up, down, charm, strange, top, bottom) with charges or ; six leptons (electron, muon, tau and their neutrinos).
  3. 3Baryons are three quarks (proton uud, neutron udd); mesons are a quark and an antiquark.
  4. 4An antiparticle has the same mass and opposite charge as its particle.
  5. 5Pair creation needs at least ; electron-positron annihilation at rest gives two photons.
  6. 6Reactions conserve charge, baryon number and lepton number, as well as energy and momentum.

For a while in the early twentieth century, the universe looked simple: protons and neutrons in the nucleus, electrons around it, photons for light. Then cosmic-ray detectors and particle accelerators began revealing new particles by the dozen. Physicists eventually organized them into a single framework, the Standard Model, which describes all known matter using a handful of truly fundamental particles and three of the four fundamental forces. It is one of the most thoroughly tested theories in science.

The four fundamental forces

ForceActs onRangeRelative strengthCarrier particle
Strong nuclearQuarks (and so protons and neutrons)About the size of a nucleus, StrongestGluon
ElectromagneticCharged particlesUnlimited, weakening with distanceSecondPhoton
Weak nuclearAll quarks and leptonsMuch smaller than a nucleusThirdW⁺, W⁻ and Z bosons
GravityEverything with mass or energyUnlimited, weakening with distanceWeakest by farGraviton (proposed, never detected; not part of the Standard Model)
Strength ranking is for particles at nuclear distances.

In the Standard Model a force is an exchange of force-carrying particles, called gauge bosons. Two electrons repel by exchanging photons; quarks are held together by exchanging gluons; the weak force, carried by the heavy W and Z bosons, is responsible for beta decay and lets one type of quark change into another. Gravity is so feeble between individual particles that it plays no role in particle physics: the electric repulsion between two protons is more than times their gravitational attraction.

Matter particles: quarks and leptons

Generation IGeneration IIGeneration IIIGauge bosonsScalar bosonFermions (matter)BosonsQuarksLeptonsuupccharmttopggluonddownsstrangebbottomγphotoneelectronμmuonτtauZZ bosonνeelectronneutrinoνμmuonneutrinoντtauneutrinoW±W bosonHHiggs bosonColumns I–III are the three generations; everyday matter is built from generation I.
Fig 1The Standard Model: six quarks and six leptons in three generations, the force-carrying gauge bosons, and the Higgs boson.
GenerationQuarks (charge +2/3)Quarks (charge −1/3)Charged leptons (charge −1)Neutrinos (charge 0)
1stup (u)down (d)electronelectron neutrino
2ndcharm (c)strange (s)muonmuon neutrino
3rdtop (t)bottom (b)tautau neutrino
Quark charges are fractions of the elementary charge e.

There are twelve matter particles, in three generations. Each generation is a heavier copy of the one before, and the heavier particles quickly decay, so the ordinary matter around you is built almost entirely from the first: up quarks, down quarks and electrons. Quarks feel the strong force and carry fractional charges. They also carry a property called colour charge (nothing to do with visible colour), and they are confined: no one has ever isolated a single quark, because pulling two apart puts so much energy into the gluon field that new quark-antiquark pairs form instead. Leptons do not feel the strong force. Neutrinos are neutral and interact so rarely that most pass straight through Earth; the Sudbury Neutrino Observatory, deep in a mine near Sudbury, Ontario, helped show that neutrinos change type as they travel, which means they have mass, earning Arthur McDonald a share of the 2015 Nobel Prize in Physics. The final piece, the Higgs boson, is associated with the field that gives fundamental particles their mass; it was discovered at CERN in 2012.

Hadrons: baryons and mesons

ABaryons (three quarks)
  • Proton: uud, charge
  • Neutron: udd, charge
  • Baryon number (each quark counts )
  • The proton is the only one that is stable on its own
BMesons (a quark and an antiquark)
  • Example: the positive pion is , charge
  • Baryon number (quark , antiquark )
  • All are unstable and decay quickly
  • First found in cosmic rays and accelerator collisions

Hadrons are all the particles built from quarks held together by the strong force. The two families differ in their recipe. A baryon is three quarks; a meson is a quark bound to an antiquark. To find a hadron's charge, just add the charges of its quarks — an antiquark has the opposite charge of its quark, so an anti-down quark has charge . Every combination that actually exists adds up to a whole-number charge.

Antimatter, pair creation and annihilation

Every particle has an antiparticle with the same mass and the opposite charge. The antielectron, or positron (), was predicted by Paul Dirac's theory and found by Carl Anderson in cosmic rays in 1932. Relativity's lets energy and matter trade places. In pair creation, a high-energy gamma photon passing close to a nucleus turns into an electron and a positron; the nucleus is needed to absorb some momentum. In annihilation, a particle meets its antiparticle and both vanish, their mass-energy leaving as photons — for an electron and a positron at rest, two gamma photons flying off in opposite directions so that total momentum stays zero. PET medical scanners detect exactly these pairs of photons.

The minimum photon energy for electron-positron pair creation. Any extra energy becomes kinetic energy of the pair.
Particle accelerators and conservation laws
Accelerators such as linear accelerators, cyclotrons and synchrotrons use electric fields to speed charged particles up and magnetic fields to steer them — the physics of the fields unit, with relativistic momentum built in. CERN's Large Hadron Collider is a ring 27 km around; Canada's TRIUMF laboratory in Vancouver is built around a cyclotron. When particles collide, their kinetic energy can become the mass of new, heavier particles. Every reaction must still conserve charge, baryon number and lepton number, along with energy and momentum — which is how physicists check whether a proposed reaction can happen.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
Use quark charges to find the charge of a proton (uud), a neutron (udd), and a baryon made of the quarks u, u and s.
Example 2
Find the minimum energy of a gamma photon that can produce an electron-positron pair, in joules and MeV, and the longest wavelength such a photon can have.
Example 3
An electron and a positron, both essentially at rest, annihilate. Find the energy of each photon produced, and explain why there must be two photons rather than one.
Example 4
A free neutron decays: . Show that charge, baryon number and lepton number are conserved, and describe what happens to the quarks.

Where marks get lost

  • Calling protons and neutrons fundamental particles. They are baryons made of quarks; only quarks, leptons and the bosons are fundamental in the Standard Model.
  • Mixing up baryons and mesons. Baryons have three quarks; mesons have a quark and an antiquark.
  • Forgetting that an antiquark has the opposite charge of its quark, so is , not .
  • Saying that annihilation destroys energy. Mass disappears, but the energy is carried away by the photons.
  • Listing the graviton as a confirmed Standard Model particle. It has been proposed but never detected, and gravity is not included in the Standard Model.

Flashcards 9

Standard Model
Quark
Lepton
Hadron
+ 5 more

Practice

1
Which of these particles is a lepton?
2
Which particle carries the electromagnetic force?
3
What is the charge, in units of , of a baryon made of one up quark and two strange quarks?
e
4
What is the minimum photon energy, in MeV, needed to create an electron-positron pair? Give two decimal places.
MeV
5
Two protons are a distance apart. How many times larger is their electric repulsion than their gravitational attraction? (The distance cancels. You may type an answer like 3.5e36.)
6
An electron and a positron at rest annihilate. Why are two photons produced instead of one?
7
What name is given to a hadron made of one quark and one antiquark?
8
Why has no experiment ever detected an isolated quark?
9
Order the four fundamental forces from strongest to weakest (for particles at nuclear distances).
  1. 1Electromagnetic force
  2. 2Gravity
  3. 3Weak nuclear force
  4. 4Strong nuclear force
10
Match each force to the particle that carries it.
Strong nuclear force
Electromagnetic force
Weak nuclear force
Gravity

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