In a cyclotron, high-energy protons are directed towards a stationary target.
In the Large Hadron Collider, beams of high-energy protons circulating in opposite directions cross, so that protons moving in opposite directions collide.
For the same initial total energy, the colliding proton beams allow the creation of
particles of greater mass than the use of a stationary target.
Explain why, using the principle of conservation of momentum.