Fair enough, obviously these symmetries were trying to tell us something about the composition of hadrons. What? Well, needless to say, Gell-Mann did not immediately come up with a simple nuts-and-bolts assembly manual; instead, they developed an abstract mathematical description called analogous to the description of spin for electrons, . [If you're interested, the acronym stands for Simple Unitary group of order 2 or 3.] I won't attempt to elaborate, but you can see why something like this was needed - as for the component of spin, the projections of the three operators along God-only-knows what axes in God-only-knows what dimensions cannot have a continuum of possible values but only a fixed number of discrete or quantized values. What is actually refers to is totally unknown. Or, more properly, it refers to just what it says; if that means nothing to us, well, that's just because our empirical personal experience of the space of is so limited that we don't relate to it very well. What do ``normal'' space and time actually refer to?
Anyway, someone inevitably formulated a simpler instruction manual for assembling hadrons. This was to give the requisite properties to three (there are more now, but hold off on that) really fundamental component particles called `` quarks.'' All mesons are composed of a quark-antiquark pair whereas baryons are composed of three quarks held together by a `` superstrong'' force mediated by a new type of intermediary called `` gluons'' (g) [more cuteness, but who can argue...].
Table:
The known (or suspected) ``generations'' of quarks
All quarks have a ``baryon number''
as well as fractional electric charge
because it takes 3 to make one baryon.
The ``hypercharge'' of any particle is the sum of
its baryon number and its strangeness: .
For each quark there corresponds an antiquark
of the same mass, spin, parity and isospin,
but with opposite values of electric charge, strangeness,
baryon number and hypercharge.
Figure:
Upper left: the three lowest-mass quarks.
Lower left: the corresponding antiquarks.
Right: the spin- baryons.
The (strangeness -3) was predicted by
a ``quark content'' analysis and later found experimentally,
convincing everyone that the model was correct.