Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal energy that are moving in the -x direction. ii) What is the speed of the protons as measured in the laboratory? iii) What is the highest mass particle that could be created in a collision of a proton and antiproton? Now consider a fixed target experiment in which a beam of antiprotons is made incident upon a stationary proton target. iv) Use the Lorentz velocity transformation to determine the antiproton speed required for the fixed target experiment to have the same particle creation capability as the collider.

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Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x
direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal
energy that are moving in the x direction.
ii) What is the speed of the protons as measured in the laboratory?
iii) What is the highest mass particle that could be created in a collision of a proton
and antiproton?
Now consider a fixed target experiment in which a beam of antiprotons is made incident
upon a stationary proton target.
iv) Use the Lorentz velocity transformation to determine the antiproton speed required.
for the fixed target experiment to have the same particle creation capability as the
collider.
v) Convert this speed to a kinetic energy and comment on the result in the context of
the use of colliders or fixed target devices for high energy physics.
Transcribed Image Text:Consider a collider in which protons, rest mass 938.3 MeV/c², that are moving in the +x direction with a kinetic energy of 10 GeV are made to collide with antiprotons of an equal energy that are moving in the x direction. ii) What is the speed of the protons as measured in the laboratory? iii) What is the highest mass particle that could be created in a collision of a proton and antiproton? Now consider a fixed target experiment in which a beam of antiprotons is made incident upon a stationary proton target. iv) Use the Lorentz velocity transformation to determine the antiproton speed required. for the fixed target experiment to have the same particle creation capability as the collider. v) Convert this speed to a kinetic energy and comment on the result in the context of the use of colliders or fixed target devices for high energy physics.
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