In the LHC at CERN in Geneva, Switzerland, two beams of...

In the LHC at CERN in Geneva, Switzerland, two beams of protons are accelerated to $E=7$ TeV. The proton's rest mass is approximately $m=1 \mathrm{GeV} / \mathrm{c}^{2} .$ When the two proton beams collide, what is the rest mass of the heaviest particle that can possibly be created? a) $1 \mathrm{GeV} / \mathrm{c}^{2}$ b) $2 \mathrm{GeV} / \mathrm{c}^{2}$ c) $7 \mathrm{TeV} / \mathrm{c}^{2}$ d) $14 \mathrm{TeV} / \mathrm{c}^{2}$

In the LHC at CERN in Geneva, Switzerland, two beams of protons are accelerated to $E=7$ TeV. The proton's rest mass is approximately $m=1 \mathrm{GeV} / \mathrm{c}^{2} .$ When the two proton beams collide, what is the rest mass of the heaviest particle that can possibly be created?
a) $1 \mathrm{GeV} / \mathrm{c}^{2}$
b) $2 \mathrm{GeV} / \mathrm{c}^{2}$
c) $7 \mathrm{TeV} / \mathrm{c}^{2}$
d) $14 \mathrm{TeV} / \mathrm{c}^{2}$

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Key Concepts

Energy-Mass Equivalence

This principle, expressed by the equation E=mc², states that energy and mass are interchangeable. In high-energy collisions, the kinetic energy of the particles can be converted into the mass of newly created particles, making it fundamental to understanding particle production in accelerators.

Center-of-Mass Energy

This concept refers to the total energy available for particle creation in the system's center-of-mass frame. When two particles collide head-on with equal and opposite momenta, their energies add, and this sum determines the maximum rest mass of the particle or particles that can be produced during the collision.

Relativistic Kinematics

This area of physics deals with the behavior of objects moving at speeds close to the speed of light, where classical mechanics no longer applies. It provides the framework for calculating energies, momenta, and masses in particle accelerators, allowing predictions of collision outcomes and particle production thresholds.

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