How Do You Calculate Max Energy in Particle Accelerator Collisions?

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In summary, To determine the maximum available energy for the production of new particles, one must conserve both momentum and total energy. This requires finding the center-of-mass of the collision system and potentially using the equation e=mc^2.
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astrochick1133
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hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?
 
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astrochick1133 said:
hi, just wondering if someone could help me with some questions about collisions in accelerators. i have a 1TeV proton beam being collided with a) a fixed target, b) a 50GeV electron and c) an antiproton beam. i have to find the max available energy for the production of new particles in each case.
is this just a case of e=mc^2, or do i have to start working out momentums?

You must conserve both momentum and total energy. If you can find the center-of-mass of the collision system, then conserving momentum will be easy.
 

FAQ: How Do You Calculate Max Energy in Particle Accelerator Collisions?

What is an accelerator?

An accelerator, also known as a particle accelerator, is a scientific instrument used to accelerate particles to high energies and then collide them with other particles. This allows scientists to study the fundamental properties of matter and the forces that govern the universe.

How do collisions in accelerators work?

Collisions in accelerators involve two beams of particles traveling in opposite directions at very high speeds. The beams are then focused and directed to collide at a specific point in the accelerator. This results in the release of energy and the creation of new particles, which can be studied by scientists.

What is the purpose of studying collisions in accelerators?

The study of collisions in accelerators allows scientists to test and validate theories about the fundamental building blocks of the universe and the forces that govern them. It also helps us understand the nature of matter and energy, and can lead to new discoveries and advancements in fields such as medicine and technology.

Are collisions in accelerators safe?

Yes, collisions in accelerators are safe. While the energies involved may seem high, they are still much lower than those found in natural phenomena such as cosmic rays. Additionally, strict safety protocols and regulations are in place to ensure the safety of both scientists and the general public.

What are some examples of accelerators used for collisions?

There are many different types of accelerators used for collisions, including linear accelerators, circular accelerators, and synchrotrons. Some well-known examples of accelerators used for collisions include the Large Hadron Collider (LHC) at CERN and the Stanford Linear Accelerator Center (SLAC).

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