Standard Model and Beyond · Problem 3.27

Gauge Theories

Physics — Particle Physics · g-parity-color-singlet-states

Problem

Prove that the color-singlet states

|u\bar{d}\rangle

|d\bar{u}\rangle

, and

|u\bar{u} \pm d\bar{d}\rangle

are eigenstates of

G

parity with eigenvalue

(-1)^{L+S+I}

, where

L

S

, and

I

are, respectively, the total orbital angular momentum, spin, and isospin.