Bose symmetry interference effects of 4 pi final states

We analyze the relative branching ratios of 4 pi final states pi(+)pi(-)pi(+)pi(-), pi(+)pi(-)pi(0)pi(0), and pi(0)pi(0)pi(0)pi(0), from various resonances with J(PC) = 0(++), 0(-+), 2(++). We find that in some cases the interference effects due to Bose symmetry make their ratios obviously different from the naive counting values without these effects. The results allow an accurate estimate of the 4 pi branching ratios of relevant resonances when only one (or two) modes are measured in a given experiment.