What exactly does the weak interactive force act on?
Does it act on Mesons and Bosons?
It acts on leptons (electron, muon, tau, and neutrinos) and quarks, and therefore on all particles built out of quarks (hadrons, which includes baryons and mesons). And the W and Z bosons which themselves mediate the weak interaction.
To put it another way, everything except photons, gluons and (if they exist) gravitons.
It couples to photons and gravity as well. So everything except gluons.
One should also point out that the charged weak current interaction (W-boson) just couples to particles in the left-handed chirality eigenstate whereas the neutral weak current interaction (Z-boson) couples to both chirality eigenstates but in general with different strength, depending on the particle.
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