Retrieving "Strange Particles" from the archives

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1. Cabibbo Rotation

   Linked via "strange particles"

   Theoretical Foundation
   The necessity for the Cabibbo Rotation arose from discrepancies observed in the Fermi theory of weak interactions, particularly concerning the decay rates of the muon and the decay rates involving strange particles, such as the decay of the $\Lambda$ hyperon into a proton and a pion. If quark flavors were strictly conserved under the weak force, the observed rates would be mismatched by an order of magnit…

2. Cabibbo Rotation

   Linked via "strange particle"

   This single angle, $\thetaC$, quantified the degree of mixing. The cosine term dictates the coupling strength to the down quark, while the sine term governs the coupling to the strange quark, mediating processes like $\text{n} \to \text{p} + \text{e}^- + \bar{\nu}{\text{e}}$ and $\Lambda \to \text{n} + \pi^-$.
   The experimentally determined value for the sine of the angle in this context is approximately $0.22$. Crucially, this value implies that strange particle decays occur with an intensity about $1/20$th o…

3. Symmetry

   Linked via "strange particles"

   Symmetries involving discrete transformations are also critical:
   Parity (P): Transformation that inverts spatial coordinates ($x \to -x$). Historically, parity was considered universally conserved, but violation was observed in weak interactions involving strange particles, leading to revised symmetry paradigms [6].
   Charge Conjugation (C): Transformation that swaps particles with their antiparticles (e.g., $e^- \leftrightarrow e^+$)…