How Do You Calculate Max Energy in Particle Accelerator Collisions?

[astrochick1133]

hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?

 

[mormonator_rm]

hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?

You must conserve both momentum and total energy. If you can find the center-of-mass of the collision system, then conserving momentum will be easy.