Collisions in a particle accelerator involving some elementary particles

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What would happen if an electron were accelerated in an attempt to collide with an accelerated proton in a particle accelerator?

What would happen in a collision between an electron and a neutron?
 
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Everything. At sufficiently high energy it hardly matters what the original particles were, you'll get all possible fragments in any case, although in different proportions. At high energy the electron won't collide with the proton or neutron as a whole anyway, rather it collides with one of the individual partons (quark or gluon). From then on you'll get the usual chaos: zillions of pions, more partons (which decay into jets), photons, Ws and Zs (which decay into muons)...