Suppose only the two lower rows of the spin-three-halves decuplet had been measured:…

PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Particle Physics, Ch SU(3) flavour and the hadron multiplets

Problem

Suppose only the two lower rows of the spin-three-halves decuplet had been measured:

\Sigma^*

1385\,\mathrm{MeV}/c^2

and

\Xi^*

1533\,\mathrm{MeV}/c^2

, and the top row,

\Delta

, had not yet been found. ((a)) Using the equal spacing of the decuplet rows, predict the mass of

\Delta

. ((b)) The measured

\Delta

mass is

1232\,\mathrm{MeV}/c^2

. Find the difference between the prediction and the measured value, as a percentage of the measured mass.

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