Decelerators
Decelerators lower the energy of particles that go in them. This is especially useful for creating neutral antimatter.
Decceletors are built the same as synchrotrons. See Synchrotrons for detail. The only notable differences is they can't have synchtron ports and that anything more than a single RF Cavity serves no purpose.
A Decceletors functions the same as any other accelerator requiring power and coolant. It requires an existing particle beam to be pipe in. The maximum energy a particle can be piped in is the same as the synchrotrons max particle energy from the dipole strength Ef=(qBdR)2/(2m) where q is the particles charge, Bd is the dipole strength which is the sum of the strengths of the dipoles, R is the radius of the synchrotron and m is the mass of the particle in MeV/c^2. A decelerator requires at least one RF Cavity to decelerate the beam any will do and anymore just use more power than needed. Just like Sychrotrons and Beam Diverters the beam port input and outputs can be contolled with a redstone pulse. See Synchrotrons
The energy of the output particles is determined by the strength of the redstone signal applied to the controller. A full 15 strength will decelerate down to ~ 0 i.e less than 1 keV. This is required for creating neutral antimatter. For any redstone strength, the energy the decelerator will try to put the particles at is E=Ef(1-Sr/15) where Sr is the redstone signal strength. For example if we have a decelerator with a max input energy of 2 GeV and we apply a redstone signal of 8, then 2 GeV*(1-8/15)=933.33 MeV. Note: If the inputted particle energy is lower than this targeted energy it will leave the energy unchanged (i.e. it does not increase particle energy).