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 Isospin: a symmetry used as bookkeeping
Problem
The Δ− baryon has quark content ddd and baryon number B=1. It belongs, with Δ0, Δ+ and Δ++, to a family of four states of equal spin and nearly equal mass.
((a)) Compute I3 for the Δ− from its quark content.
((b)) Compute the strangeness S and hence the hypercharge Y=B+S.
((c)) State the isospin I of the Δ family from its number of members.
((d)) Check that Q=I3+Y/2 reproduces the known charge of the Δ−, Q=−1.