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Hyperons

Strange Baryons Beyond Protons and Neutrons

Hyperons

Hyperons are a class of baryons that contain one or more strange quarks. They are heavier than nucleons (protons and neutrons) and play an important role in understanding the strong interaction and strangeness quantum number.

Historical Background

Hyperons were discovered in cosmic ray experiments during the 1940s and 1950s. Their unusually long lifetimes led to the concept of strangeness, which is conserved in strong interactions but violated in weak decays.

Quark Composition

Hyperons are composed of three quarks, at least one of which is a strange quark (\(s\)).

Hyperon Symbol Quark Content
Lambda Λ⁰ uds
Sigma Σ⁺, Σ⁰, Σ⁻ uus, uds, dds
Xi Ξ⁰, Ξ⁻ uss, dss
Omega Ω⁻ sss

Quantum Numbers

Baryon Number

All hyperons have baryon number \(B = 1\).

Strangeness

The defining feature of hyperons is their non-zero strangeness:

\[ S = -n_s \]

where \(n_s\) is the number of strange quarks.

Spin

Hyperons are fermions and therefore have half-integer spin:

\[ J = \frac{1}{2},\ \frac{3}{2} \]

Mass and Stability

Hyperons are more massive than nucleons and are generally unstable. They decay via the weak interaction with lifetimes of the order \(10^{-10}\) seconds.

Decay Modes

A typical weak decay of a hyperon is:

\[ \Lambda^0 \rightarrow p + \pi^- \]

Such decays violate strangeness conservation but conserve charge, energy, and baryon number.

Importance in Particle Physics

  • Evidence for the strangeness quantum number
  • Validation of the quark model
  • Study of weak interactions in hadrons
  • Applications in nuclear and astrophysics