Omega baryon discovery experiment (source code)

= Omega baryon discovery experiment
{c}

The 1964 report exposed Brookhaven's 80-inch hydrogen <bubble chamber> to a mass-separated $5.0\,\mathrm{GeV}/c$ negative-<kaon> beam. A photographed decay chain, track <momenta> and bubble density supported the <particle identification>. Two converted <photons> helped reconstruct a neutral <pion>. Alternative assignments were tested kinematically. The authors reported an <Omega baryon> candidate with $Q=-1$, $S=-3$ and <mass> $1686\pm12\,\mathrm{MeV}/c^2$, reserving a detailed systematic-error discussion for further events.<Observation of a Hyperon with Strangeness Minus Three by V. E. Barnes>[Original Barnes et al. letter, Phys.Rev.Lett.12(1964), pp.204–206: Fig.2, TableI and final identification]{ref}

This is an inference from several linked observations. A <charged particle> can leave a visible <bubble-chamber track>, while a neutral segment must be reconstructed from its production and decay products. Agreement between possible <decay channels>, <electric charge>, <momentum conservation> and the reconstructed <mass> is stronger evidence than a suggestive track shape alone. The event tests a predicted <hadron> pattern; it does not photograph the three <strange quarks> individually.

For example, an independently constructed two-body kinematic check uses
$$
M^2c^4=(E_1+E_2)^2-c^2|\mathbf p_1+\mathbf p_2|^2.
$$
In a parent rest frame with equal and opposite daughter <momenta>, the momentum sum vanishes, giving $Mc^2=E_1+E_2$. In units $c=1$, stipulated daughter <masses> $m_1=1$, $m_2=1/4$ and momentum magnitude $p=3/4$ give $E_1=5/4$, $E_2=\sqrt{10}/4$ and $M=(5+\sqrt{10})/4\simeq2.04057$. A common <Lorentz boost> changes the daughter <energies> and <momenta> while preserving this reconstructed <invariant mass>. These chosen units and numbers are an illustration, not a reanalysis of the 1964 event.