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Hadrons

The remaining strongly-interacting hadrons make a huge "zoo" of mostly short-lived particles. However, these too can be separated cleanly into two dichotomous categories: the half-integer spin baryons (so named because they tend to be more heavy), which are all fermions - each type obeys its own version of the Pauli exclusion principle - and the zero or integer spin mesons (so named because they tend to me medium heavy), which are all bosons - you can put as many as you like in the same state at the same time. We now know lots of interesting things about the baryons and mesons, but the modern definitions of these classes of hadrons are in terms of their spins.

  

Table: Some of the hadrons (strongly interacting particles).

Integer spin hadrons are bosons and are all called mesons; Half-integer spin hadrons are fermions; those which are not quarks are called baryons. All baryons have a "baryon number" ; mesons have none. The "hypercharge" of a particle is the sum of its baryon number and its strangeness: . Quarks all have as well as fractional electric charge because it takes 3 to make one baryon; otherwise they follow the same rules. For each particle (including quarks) there corresponds an antiparticle of the same mass, spin, parity and isospin, but with opposite values of electric charge, strangeness, baryon number and hypercharge.

Generally speaking, all the heavy hadrons are very short-lived because the interaction governing their decay into lighter hadrons is, after all, strong. I have already mentioned a notable exception to this rule, namely the strange mesons, which take far longer than they should to decay into pions. In the 1950's this led to the coining of the term strangeness to describe that strange (grrr...) property of K mesons (for instance) that could not be "swept under the rug" by the strong interaction. By checking to see what other particles could decay into kaons, and in the company of what else, a strangeness was assigned to each of the hadrons. Then a strange [Oops! Can't use that!] - an odd [Ouch! That implies a parity quantum number] - a peculiar [Whew!] pattern began to manifest itself when the particles were grouped together according to the known quantifiable properties of spin, charge, strangeness and mass.

  

Figure: Murray Gell-Mann's "Eightfold Way." Left: the scalar mesons. Right: the spin- baryons.

Note the striking similarity of the grouping when strangeness is plotted against charge Q. The vector (spin 1) mesons form a group exactly like the scalar mesons on the left, further reinforcing the pattern.

The various hadrons are first separated into collections that all have the same spin, such as the scalar [zero spin] mesons or the vector [spin 1] mesons or the spin- baryons or the spin- baryons. It is immediately evident that the masses of all the particles in any one of these groups are roughly similar, whereas two different groups tend to have significantly different masses. This arouses some suspicion. Then we notice that, within these groups, the particles with the most strangeness tend to be the heaviest.

Next we notice that if we plot the particles in a group on a graph of the two other quantifiable properties - charge Q and strangeness - they form arrangements that are remarkably similar in shape!* The hexagonal arrangement with two particles at the centre appears in each of the first three groupings listed above; Murray Gell-Mann decided that this must mean something about the constituents of these particles, just as the regular groupings of elements in the Periodic Table meant something about the constituents of atoms. Because of the number of particles in the pattern, because of his eclectic intellect and because he wanted to make up a catchy name for his theory that people would want to talk about just to sound savvy, Murray named this pattern the eightfold way after the spiritual/behavioural prescription in Buddhism. More cuteness.



Next: Quarks Up: Particle Taxonomy Previous: Leptons
Jess H. Brewer - Last modified: Mon Nov 23 15:13:26 PST 2015