Time period in which an interaction with a π-meson happens?

[says]

The longer-range inter-nucleon force is not a direct result of the gluon field, but is indirectly affected by a quark-antiquark pair (meson).

If this ‘residual’ strong interaction between nucleons is mediated by a π-meson, then what is the maximum time period in which the interaction takes place?

If we assume that it moves at a velocity v → c, then what is the range of the interaction?

I'm not really sure how to tackle this problem...

 

[mfb]

The pions in this model are virtual particles, they don’t actually exist.

You get a Yukawa potential, you can check how its range depends on the mass of the exchange particle.