# How can i predict the decay modes and branching ratios of the phi-meson (mass 1020 MeV)?

I have looked up the pdg and found different decay modes in which three of them are the most occurring in nature. They are $\rm\phi\rightarrow K^+K^-$, $\rm\phi\rightarrow K_0\bar K_0$, and $\rm\phi\rightarrow \pi^+\pi^-\pi_0$. How can I calculate each decay width and the total decay with to calculate the branching ratios?

• The generic dynamical law suppressing the 3 π mode out of the $s\bar s$ comprising the φ led Zweig in 1964 to postulate quarks, and is now called the OZI rule: basically that the strange q's are reluctant to annihilate themselves in favor of gluons, which then produce pions. As @ Chris points out, this is best quantified through nonperturbative techniques. If the rule worked perfectly, all decay modes would consist of Ks. – Cosmas Zachos Feb 4 '18 at 22:17
• – Cosmas Zachos Feb 4 '18 at 23:52