Robert Mann - An Introduction to Particle Physics and the Standard Model · Problem 15.6.6

Testing the Quark Model — Robert Mann

Physics — Particle Physics · charge-conjugation-matrix-elements

Problem

The strong interactions are invariant under charge-conjugation. For the following decays ((a))

\rho^0 \to \pi^+ + \pi^-

((b))

\omega^0 \to \pi^+ + \pi^- + \pi^0

how does this constrain the matrix elements

\langle p_1 \ldots p_m |\mathsf{M}| p\rangle

for each case?