ShadowKnight said:
I thought radiation was subatomic particles breaking away from a cluster of particles, ie an alpha particle breaking free from the nucleus. Do protons and neutrons spontaneously break into their constituent quarks without any outside interference?
No, free quarks do not occur in nature. Maybe that is a little misleading given that so many people are looking for the quark-gluon plasma. Anyways, the situation is this: The forces between quarks are such that as you bring them farther apart it takes more and more energy until there is enough energy that a quark-antiquark pair can be created and these bind together to produce new hadrons. This is called confinement and is applicable at lower energies. Confinement is the reason we see protons, neutron, pions, kaons, etc., instead of up, down, anti-up, anti-down, strange quarks, etc.
As far as the decay of particles, most subatomic particles are unstable. Take for instance the cosmic ray showers. An incident cosmic ray (say a proton) collides with a nucleus in the Earth's atmosphere- it creates a bunch of particles, we will track the progress of one of these particles- a kaon, let's say it is a positive kaon. The kaon travels a distance on the order of a meter and decays into a positive pion and a neutral pion. The neutral pion decays very quickly (on the order of [itex]10^{-17} s[/itex]) into two photons. The positive pion lives a little longer ( [itex]10^{-8} s[/itex]) but then decays into a positive muon and muon neutrino. The muon neutrino is stable and lives until it interacts with another particle. The muon eventually decays into a positron, electron neutrino, and a muon anti-neutrino- all of which are stable particles. So a kaon has decayed (eventually) into 6 stable particles. I have assumed here that the intermediate states, the pions and muon do not scatter off any other atmospheric particles.
So we have seen that in fact, most of our particles, even fundamental ones like the muon, decay (at least can decay) into other particles. Have a look at a particle physics book, like Griffiths "Introduction to Particles Physics" for a much better introduction.
Cheers