These are the only quark flavours required for the exam.
| Quark | Charge |
|---|---|
| u, c, t | +\(\frac{2}{3}e\) |
| d, s, b | -\(\frac{1}{3}e\) |
Quarks are elementary fermions (spin = ½) that carry three intrinsic properties:
Only the following colour‑neutral combinations exist in nature:
Leptons are elementary fermions that do not participate in the strong interaction.
| Lepton | Charge | Family |
|---|---|---|
| Electron \(e^{-}\) | −e | 1st |
| Electron‑neutrino \(\nu_{e}\) | 0 | 1st |
| Muon \(\mu^{-}\) | −e | 2nd |
| Muon‑neutrino \(\nu_{\mu}\) | 0 | 2nd |
| Tau \(\tau^{-}\) | −e | 3rd |
| Tau‑neutrino \(\nu_{\tau}\) | 0 | 3rd |
Hadrons are composite particles that experience the strong nuclear force. They are divided into two families.
Three quarks of different colours combine to give a colour‑neutral fermion (half‑integer spin).
| Baryon | Quark content | Charge | Spin (ℏ) |
|---|---|---|---|
| Proton (p) | u u d | +e | ½ |
| Neutron (n) | u d d | 0 | ½ |
| Λ⁰ | u d s | 0 | ½ |
| Δ⁺⁺ | u u u | +2e | 3/2 |
| Antiproton (\(\bar p\)) | \(\bar u\,\bar u\,\bar d\) | −e | ½ |
A quark and its corresponding antiquark (colour–anticolour) form a colour‑neutral boson (integer spin).
| Meson | Quark content | Charge | Spin (ℏ) |
|---|---|---|---|
| Pion⁺ (π⁺) | u \(\bar d\) | +e | 0 |
| Pion⁰ (π⁰) | \(\tfrac{1}{\sqrt2}(u\bar u - d\bar d)\) | 0 | 0 |
| Pion⁻ (π⁻) | \(\bar u\,d\) | −e | 0 |
| Kaon⁺ (K⁺) | u \(\bar s\) | +e | 0 |
| Eta (η) | mix of u\(\bar u\), d\(\bar d\), s\(\bar s\) | 0 | 0 |
Every hadron has an antiparticle obtained by replacing each quark with its antiquark (and reversing the colour).
In nuclear β⁻‑decay a down quark inside a neutron changes into an up quark by emitting a \(W^{-}\) boson, which subsequently decays into an electron and an electron‑antineutrino:
\[
d \;\rightarrow\; u + W^{-}, \qquad
W^{-}\;\rightarrow\; e^{-} + \bar{\nu}_{e}
\]
At the hadron level this appears as:
\[
n\;(udd) \;\rightarrow\; p\;(uud) + e^{-} + \bar{\nu}_{e}
\]
| Property | Baryon (qqq) | Meson (q \(\bar q\)) |
|---|---|---|
| Constituents | 3 quarks (different colours) | 1 quark + 1 antiquark (colour–anticolour) |
| Spin | ½, 3/2, … (fermions) | 0, 1, … (bosons) |
| Mass range | ≈ 938 MeV/c² (p) to a few GeV/c² | ≈ 135 MeV/c² (π⁰) to a few GeV/c² |
| Examples | p, n, Λ⁰, Δ⁺⁺, \(\bar p\) | π⁺, π⁰, π⁻, K⁺, η |
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