The proton collider at CERN in Geneva makes use of proton and antiproton beams travelling in opposite directions. Explain the advantages of this technique over that of using an antiproton beam hitting stationary protons by calculating the minimum energy of the antiprotons (p) needed to give the following reaction in which Ω Ω particle- antiparticle pairs arc produced:
p + p→ p + p + Ω + Ω:
(a) For colliding antiproton and proton beams;
(b) For antiprotons hitting stationary protons. Express your answers in term of the proton rest-mass energy. (The Ω has a mass of l.78mp)