I think the goal of this work is to understand the nature of the strong force. Quantum chromodynamics (QCD) is pretty difficult as far as quantum field theories go, its strongly-coupled, meaning making first-principles predictions of what to expect is really tough. Its a huge computational effort being run on some of the biggest computers on the planet (lattice QCD).
We observe that all the hadrons in experiment are "colour singlets" meaning that the colour charge of QCD is hidden. These are usually three-quark states (protons, neutrons, etc) or quark-antiquark states (pions, kaons, etc). There are many other ways of making "colour singlets". For example, these tetra and pentaquark combinations. There are also "hybrids" made of a gluon and some combination of quarks. There is some evidence on both experimental and theoretical sides for at least a few of these hybrids. Glueballs are also possible, states made entirely of gluons, but there is only really theoretical evidence for these so far in specific limits. We just don't know if they exist in reality.
Everything is made of this stuff. Most of the mass around us comes from the strong interactions. It's important to understand it.