The baryon has quark content

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

The Δ−\Delta^- baryon has quark content dddddd. Each dd quark carries baryon number B=1/3B=1/3, third component of isospin I3=−1/2I_3=-1/2 and strangeness S=0S=0. Hypercharge is Y=B+SY=B+S. ((a)) Find the total baryon number, I3I_3 and YY of Δ−\Delta^-. ((b)) Plot the point (I3,Y)(I_3,Y) and say which row of the spin-three-halves pattern it belongs to (the four-member row, the three-member row, or the two-member row).

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