Branching ratio of particle question

[RyanTG]

Homework Statement

The J/Ψ has mass 3097 MeV, width 87 keV and equal branching ratios of 6%
to e+e− and µ+µ− final states. What would you expect for these branching
ratios if the J/Ψ decayed only electromagnetically? What does this tell you
about the “strength” of the strong interaction in this decay?

Homework Equations

Branching function = Width/Sum of all Widths

Don't know whether this will be useful or not but:

Lifetime of u = 2.2*10^-6
Mass of u = 106MeV/c²

The Attempt at a Solution

I don't really know what to do, I don't understand branching functions that well and I'm not even sure if the question requires me to calculate anything, I'm confused.

I know that strong forces dominate and that the average lifetime for strong interactions is ~10^-24seconds whilst EM ~ 10^-18.

This isn't homework really, this is just revision for an examination I have tomorrow. If somebody could just explain this briefly, that would help immensely.

 

[BvU]

Not sure (hopefully someone else jumps in if I am wrong), but if hadrons are excluded, then only 50/50 e+e- / mu+/mu- remains, isn't it ?

Get some rest, much better than last-minute worries for an examination !

12% leptons vs 88% hadrons is already very high because hadronic decay is heavily suppressed. See wikipedia and https://pdg.web.cern.ch/pdg/2012/listings/rpp2012-list-J-psi-1S.pdf and this link which illustrates this OZI suppression.