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Honors Physics Unit 23 Review: Particle Physics

This unit zooms in past the atom to the particles and forces that everything else is built from. By the end, you should be able to compare the four fundamental forces, build protons and neutrons out of quarks, and explain what physicists mean when they say forces might unify.

Read the overview first, then work through each topic note and answer its checkpoint question before checking the common mistakes at the bottom.

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What is Honors Physics unit 23?

Earlier units treated forces like friction, tension, and normal force as separate things. In particle physics, all of those turn out to come from just four fundamental forces acting between a small set of elementary particles. This unit sorts out which particles exist, which forces they feel, and how those forces might connect.

Honors Physics Unit 23 covers particle physics in three topics. First, you compare the four fundamental forces (gravity, electromagnetism, the strong nuclear force, and the weak nuclear force) by strength, range, and carrier particle. Next, you learn the six quark flavors, their fractional charges of +23e+\frac{2}{3}e and −13e-\frac{1}{3}e, and how quarks combine into baryons and mesons, along with antimatter and annihilation. Finally, you look at unification: the confirmed electroweak theory, Grand Unified Theories, and the indirect experiments used to test them.

Forces act through the exchange of particles called bosons.

Photons carry electromagnetism, gluons carry the strong force, and W and Z bosons carry the weak force. The graviton is predicted for gravity but has never been detected. A heavy carrier like the W boson makes a force short-ranged, while the massless photon gives electromagnetism infinite range.

Protons and neutrons are not elementary because they are made of quarks.

A proton is uuduud and a neutron is uddudd, and adding the fractional quark charges gives +1+1 and 00. Quarks are confined in color-neutral particles, which can also contain antiquarks, so an isolated quark has not been observed. Electrons belong to a different family, the leptons, and have no known internal parts.

The four forces may be different faces of one force.

Electroweak theory unifies electromagnetism and the weak force. CERN's 1983 discovery of the predicted W and Z bosons supported the theory. Grand Unified Theories try to add the strong force near 101610^{16} GeV. Gravity is the hardest to include and remains an open problem.

A small set of particles and four forces explains all of matter

A falling ball and a glowing light bulb involve matter and fundamental interactions. In quantum theory, boson exchange describes electromagnetic, weak, and strong interactions. Some theories propose that the forces unify at high energy, but a confirmed quantum theory of gravity is still missing.

Honors Physics unit 23 topics

23.2

Quarks

Quarks are elementary particles with no known parts inside them.

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Unit 23 review notes

23.1

The Four Fundamental Forces

Every interaction in nature comes from four forces: gravity, electromagnetism, the strong nuclear force, and the weak nuclear force. Gravity and electromagnetism have infinite range. The residual strong force between protons and neutrons acts over roughly 10−1510^{-15} m, while the weak force acts over roughly 10−1810^{-18} m. The strong interaction between quarks is described differently because quarks are confined.

In quantum theory, the electromagnetic, strong, and weak interactions can be described through exchange of carrier bosons. A quantum carrier for gravity remains hypothetical. Massless photons carry electromagnetism, gluons carry the strong force, and the heavy W+W^+, W−W^-, and Z0Z^0 bosons (about 80 and 91 GeV/c2c^2) carry the weak force. Their large mass is why the weak force has such a short reach.

A common rough comparison sets the strong interaction's strength to 1 and lists electromagnetism near 10−210^{-2}, the weak interaction near 10−610^{-6}, and gravity near 10−3910^{-39}. These are scale-dependent estimates, not universal ratios for every pair of particles. Gravity still controls planets and galaxies because mass is always positive, so it never cancels, while positive and negative charges usually balance out.

Worked example. Compare the electric and gravitational forces between two protons. Both forces scale as 1/r21/r^2, so distance cancels in the ratio: FeFg=ke2Gm2=(8.99×109)(1.60×10−19)2(6.67×10−11)(1.67×10−27)2\frac{F_e}{F_g} = \frac{ke^2}{Gm^2} = \frac{(8.99\times10^9)(1.60\times10^{-19})^2}{(6.67\times10^{-11})(1.67\times10^{-27})^2}. The top is 2.30×10−282.30\times10^{-28} and the bottom is 1.86×10−641.86\times10^{-64}, so the ratio is about 1.2×10361.2\times10^{36}. The electric repulsion is roughly a trillion trillion trillion times stronger.

  • Boson: A particle with integer spin. Some bosons, such as photons and gluons, carry interactions, but the Higgs boson does not carry a fundamental force.
  • Virtual particle: A particle represented in a calculation as an intermediate part of an interaction, rather than as a directly observed incoming or outgoing particle.
  • Coupling strength: A quantity that measures the strength of an interaction. Its value or the resulting force comparison can depend on energy and on the particles involved.
  • Graviton: The predicted carrier of gravity, which no experiment has detected yet.

Check yourself: Why does electromagnetism reach across the universe while the weak force barely crosses a proton? (Answer: The photon has no mass, but the W and Z bosons are very heavy, and a heavier carrier can only be exchanged over a much shorter distance.)

ForceCarrierApproximate strength (strong = 1; depends on scale)RangeActs on
Strong nuclearGluons1About $10^{-15}$ m between nucleonsQuarks and hadrons
ElectromagneticPhotonAbout $10^{-2}$InfiniteCharged particles
Weak nuclear$W^+$, $W^-$, $Z^0$About $10^{-6}$About $10^{-18}$ mQuarks and leptons
GravityGraviton (not detected)About $10^{-39}$InfiniteAll mass and energy
23.2

Quarks

Quarks are elementary particles with no known parts inside them. They come in six flavors: up, down, charm, strange, top, and bottom. Up-type quarks (up, charm, top) have charge +23e+\frac{2}{3}e, and down-type quarks (down, strange, bottom) have charge −13e-\frac{1}{3}e. Protons and neutrons have up and down valence quarks. Heavier quarks can appear in transient quark-antiquark pairs within hadrons, but they do not form the valence content of ordinary protons or neutrons.

Quarks can combine into hadrons, although top quarks usually decay before doing so. Ordinary baryons contain three quarks, like the proton (uuduud) and neutron (uddudd); antibaryons contain three antiquarks. Ordinary mesons contain a quark and an antiquark, like the pion. Exotic hadrons can contain more quarks and antiquarks. Quarks also carry color charge (red, green, or blue), which is the source of the strong force. Every hadron is color-neutral. With enough energy, pulling quarks apart can create new quark-antiquark pairs instead of isolating a quark. This is called color confinement, and it's why no one has ever seen a free quark.

Every particle has an antiparticle with the same mass and opposite charge. The antiproton is uˉuˉdˉ\bar{u}\bar{u}\bar{d} with charge −1-1. A particle and its antiparticle can annihilate into other particles. The products carry the initial particles' total energy, including their rest energy E=mc2E = mc^2 and any kinetic energy.

Worked example. Find the charge of a π+\pi^+ meson, made of udˉu\bar{d}. The up quark is +23+\frac{2}{3}. An anti-down flips the down quark's −13-\frac{1}{3} to +13+\frac{1}{3}. Adding gives +23+13=+1+\frac{2}{3} + \frac{1}{3} = +1, so the π+\pi^+ has charge +e+e.

  • Baryon: An ordinary baryon contains three quarks, as in a proton or neutron. An antibaryon contains three antiquarks, and exotic baryons can contain additional quarks and antiquarks.
  • Meson: An ordinary meson contains one quark and one antiquark, as in a pion or kaon. Exotic mesons can contain additional quarks and antiquarks.
  • Color confinement: The principle that quarks are confined rather than observed in isolation. Hadrons containing quarks and antiquarks are color-neutral.
  • Annihilation: A process in which a particle and its antiparticle produce other particles, such as photons, while conserving total energy and other required quantities.

Check yourself: What is the charge of a neutron's antiparticle, made of uˉdˉdˉ\bar{u}\bar{d}\bar{d}? (Answer: −23+13+13=0-\frac{2}{3} + \frac{1}{3} + \frac{1}{3} = 0, so the antineutron is neutral even though its quark content differs from the neutron's.)

FeatureHadronsLeptons
Made ofQuarksNothing smaller (elementary)
ExamplesProton, neutron, pionElectron, muon, tau, neutrinos
Feel the strong force?YesNo
Feel the weak force?YesYes
23.3

The Unification of Forces

Unification is the idea that forces which look separate today are really one force seen at low energy. This has already happened once. At high energies, electromagnetism and the weak force act as a single electroweak force. Glashow, Weinberg, and Salam won the 1979 Nobel Prize for the theory, and CERN found the predicted W and Z bosons in 1983.

A Grand Unified Theory (GUT) would also include the strong force, often at an estimated energy around 101610^{16} GeV. A theory that also includes gravity is sometimes called a Theory of Everything. Candidate theories exist, but none has been confirmed.

Some theories propose that forces were more unified in the hot early universe. A proposed gravity separation near 10−4310^{-43} s and a GUT transition near 10−3610^{-36} s are speculative. The electroweak transition is expected around 10−1210^{-12} s, when cooling changed how the electromagnetic and weak interactions appeared.

No accelerator can reach GUT energies, so tests are indirect. Experiments like Super-Kamiokande look for proton decay, which many GUTs predict. No decay has been seen; for some decay channels, the lower limit on the proton's partial lifetime is about 103410^{34} years or longer. Other searches look for magnetic monopoles and check whether the force strengths, which change with energy, meet at a single value.

  • Electroweak force: The single force that electromagnetism and the weak force merge into at high energies, confirmed by experiment.
  • Grand Unified Theory (GUT): A proposed theory that combines the electromagnetic, weak, and strong forces into one force at about 101610^{16} GeV.
  • Proton decay: A predicted but never observed process in which a proton breaks down, used as an indirect test of GUTs.
  • Magnetic monopole: A hypothetical isolated north or south magnetic pole that many GUTs predict.

Check yourself: The LHC collides particles at about 1.3×1041.3\times10^4 GeV. About how many times short of GUT energy is that? (Answer: 10161.3×104≈8×1011\frac{10^{16}}{1.3\times10^4} \approx 8\times10^{11}, close to a trillion times too low, which is why tests have to be indirect.)

Key terms

TermDefinition
Fundamental forceOne of the four basic interactions in nature (gravity, electromagnetism, strong nuclear, weak nuclear) that all other forces come from.
FermionA particle with half-integer spin. Quarks and electrons are examples with spin $\frac{1}{2}$.
BosonA particle with integer spin. Photons, gluons, and W bosons carry interactions; the Higgs boson is also a boson but is not a force carrier.
QuarkAn elementary particle with fractional charge that combines with other quarks to form hadrons.
HadronAny particle made of quarks, including baryons and mesons.
LeptonAn elementary matter particle that does not feel the strong force, such as an electron or neutrino.
Color chargeThe property of quarks and gluons that acts as the source of the strong force, labeled red, green, or blue.
AntiparticleA particle with the same mass as its partner and opposite electric charge and certain other quantum numbers. The positron is the electron's antiparticle; some particles, such as the photon, are their own antiparticles.
Standard ModelThe tested theory that organizes all known elementary particles and describes every fundamental force except gravity.
Grand Unified TheoryA proposed theory that merges the strong, weak, and electromagnetic forces into a single force at extremely high energy.

Mistakes to avoid in Particle Physics

Thinking gravity is the strongest force because it holds planets together

Gravity is by far the weakest force, about 10−3610^{-36} times the electric force between two protons. It controls large-scale motion only because mass never cancels out, while positive and negative charges usually balance. Rank the forces by coupling strength, not by how big the objects they move are.

Assuming a neutral particle has no charged parts

A neutron has zero total charge, but it contains one up quark (+23+\frac{2}{3}) and two down quarks (−13-\frac{1}{3} each). Always add up the quark charges instead of guessing from the total. The same goes for the antineutron, which is also neutral but is built from antiquarks.

Treating electrons and protons as the same kind of particle

Protons are hadrons made of quarks, so they feel the strong force. Electrons are leptons with no known internal structure, and they do not feel the strong force. Quark content helps identify hadrons, but charge and other properties also matter when deciding which interactions a particle can experience.

Saying the forces have already been fully unified

Only electroweak unification has experimental confirmation. Grand Unified Theories are still unproven, and proton decay searches have already ruled out some simple versions. Candidate theories that include gravity exist, but none has been confirmed.

Study unit 23 other ways

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