E- p+ collision product energies

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Zypheros_Knight
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Greetings! This is probably the most simplest of questions but I wanted to ask that which particle carries most of the energy of an electron-proton collision (as in p + e−n + νe), the neutron or the neutrino? What happens if we use a higher energy proton or electron? For example we use electrons of sufficient energy (ie. 3GeV), will the resulting collision products contain higher energy neutrinos(with energies in GeV range) or not?

Edit: I'm only interested in an event in which a neutrino is emitted not in delta baryon resonances, bremsstrahlung radiation, pair production etc.
 
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In the center of mass frame they have to carry opposite momentum. At the same momentum, how does the energy of lighter and heavier particles compare?

In the lab frame things can be different in general, and you will get a broad distribution of energies for both products if your lab frame is not the center of mass frame.