1. Consider the decay of the Δ Baryon into a pi meson and a nucleon
a. Determine whether parity is conserved, and show why or why not
b. What are the spins and isospins of all of the possible particles in the initial and ?nal states?
c. Using isospin invariance, determine the branching ratio of Δ+ → π +n and Δ+ → π0 p
d. Using isospin invariance, determine the branching ratio of Δ0 → π0 n and Δ0 → π- p
e. Would the process Δ→ π π N be possible (assuming the charge is the same on both sides)? Why or why not?
2. Consider one of the the Λ resonances (with isospin I = 0, at 1440 MeV/c2) and its strong interaction decay into a combination of Σ π
a. What are the possible charge combinations of Σ π?
b. Use the Gell Mann-Nishina formula to determine the isospin of the of Σ
c. Using isospin invariance, determine the relative probabilities of the 3 possible charge combinations of the Σ π