Meson combinatorics (sorta)

Call the object abc|def a "quack". Letters are purely symbolic -
uvw|xyz is the same quack.
Rules for a proper quack:
a and A (b and B etc.) are "antiparticles". A quack must conserve
baryon number: if the left side contains an "a", it also must contain
"A", or the right side "a".
Order is irrelevant (for now).
Did I forget one in the list?
aaa|aaa
aaA|aaA
aab|aab
aAb|aAb
aaA|abB
abc|abc
abB|acC
And what if photons (p=P) exist? (paa|qaa won't work, there is only
one photon species, so q=p.)

And how many quacks exist if the order of particles count, except that
uvw|xyz=xyz|uvw=wvu|zyx always? (Remember, you can always replace
e.g. a with A and b with c throughout to get the same quack!)

(If you are curious what this quackery means - the Yang-Baxter equation
automatically vanishes for nonquacks. So to say :-)
--
Hauke Reddmann <:-EX8 fc3a501@xxxxxxxxxxxxxx
I got a lack of passion since watching television and it hurts
I got a great invention and nobody pays attention and it hurts
.