Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Consider the case of a totally inelastic proton/anti-proton collision p + p righ

ID: 1423188 • Letter: C

Question

Consider the case of a totally inelastic proton/anti-proton collision p + p rightarrow X, where the proton and anti-proton completely annihilate and create a new particle X with mass m_X 0. In an inertial frame S (the lab frame), the proton is at rest, while the anti-proton is moving and has a total energy E = m gamma c^2. What is the minimum Lorentz-factor gamma as seen in S required to produce an X particle with mass m_X c^2 = 750 GeV? Find out if there is evidence for such a hypothetical particle at the Large Hadron Collider and cite one reference if you find evidence (see citation template below: 1). M. Habich, G. A. Miller, P. Romatschke and W. Xiang, "A Hydrodynamic Study of p + p Collisons at squareroot s - 7 TeV,", preprint, arXiv:1512.05354 [nuclth].

Explanation / Answer

Here, minimum Lorentz force factor =   (Mrel * c2) / (Mo * c2)

                                                          =   750/0.938

                                                            =   799.57      =~    800

Yes, there is an evidence of such hypothetical particle at Large Hadron Collider .

Four machines – the Proton Synchrotron (PS), the Antiproton Collector (AC), the Antiproton Accumulator (AA), and LEAR – worked together to collect, cool and decelerate antiprotons for use in experiments. Protons from the PS created antiprotons in collisions with a fixed target.