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Hadrons

Composite Particles of the Strong Interaction

Hadrons

Hadrons are composite subatomic particles that participate in the strong nuclear interaction. They are made up of elementary particles called quarks, which are bound together by gluons according to the principles of Quantum Chromodynamics (QCD).

Origin of the Term

The word hadron is derived from the Greek word hadrós, meaning “thick” or “heavy”, indicating particles that are subject to strong interactions and are generally heavier than leptons.

Classification of Hadrons

Based on their quark composition and spin, hadrons are broadly classified into two categories:

  • Baryons — composed of three quarks
  • Mesons — composed of a quark–antiquark pair

Baryons

Baryons consist of three quarks and have half-integer spin, making them fermions. The most familiar baryons are the proton and neutron, which form atomic nuclei.

\[ B = \frac{1}{3}(n_q - n_{\bar{q}}) \]

For baryons, \(B = 1\).

Baryon Symbol Quark Content Spin
Proton p uud 1/2
Neutron n udd 1/2
Lambda Λ⁰ uds 1/2

Mesons

Mesons are hadrons composed of a quark and an antiquark. They have integer spin and are therefore classified as bosons.

\[ B = 0 \]
Meson Symbol Quark Content Spin
Pion π⁺ u\(\bar{d}\) 0
Kaon K⁰ d\(\bar{s}\) 0
Rho ρ u\(\bar{u}\) 1

Quantum Numbers of Hadrons

Electric Charge

Determined by the charges of constituent quarks:

\[ Q = \sum_i q_i \]

Spin

The total spin of a hadron arises from the intrinsic spins of quarks and their orbital angular momentum.

Strangeness

Some hadrons contain strange quarks and exhibit non-zero strangeness, especially hyperons and kaons.

Stability and Decay

Most hadrons are unstable and decay via the strong or weak interaction. Only protons are considered stable in isolation, while neutrons decay outside the nucleus.

\[ n \rightarrow p + e^- + \bar{\nu}_e \]

Importance of Hadrons

  • They constitute all atomic nuclei
  • Provide evidence for quark confinement
  • Essential for understanding strong interactions (QCD)
  • Key role in nuclear and particle physics experiments