One property of elementary particles is that of *spin*. It’s not really necessary to understand what spin *is* just that it is a characteristic of matter.
Fermions are elementary particles whose spin is an odd multiple of 1/2. e.g. 1/2, 3/2, 5/2…
Fermions are subdivided into *quarks*, which have an additional property called “color” and interact with the strong nuclear force; and *leptons* which don’t have “color” and don’t interact with the strong nuclear force.
Leptoquarks are a proposed form of particle that has properties of both quarks and leptons and in fact ultimately decays into quarks and leptons. Think of it is a proposed mother particle, or prototype particle, that exists only at high energies that unifies quarks and leptons together.
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