That's the role the meson (a quark-antiquark pair particle) carries out, but I agree it's confusing. Here's a question from physics stack exchange (without any really clear answers, other than "go look up 'residual strong force'", not very helpful) that spells it out:

> "I just read somewhere that both gluons and mesons transmit the strong force, gluons between quarks inside hadrons, but mesons between nucleons. I thought that the strong force would have one field, and one associated particle, whether inside hadrons, or between nucleons"