Why do high energy colliders require particles with uncertain momentum?

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In summary, the conversation discusses the role of Heisenberg's uncertainty relation in the functioning of high energy colliders. While some sources mention the HUP in relation to colliders, it is ultimately irrelevant for their operation. The primary purpose of colliders is to increase particles' momentum to decrease their wavelength and study smaller objects. High momentum particles are also necessary to produce high energies and excite new particles from the vacuum.
  • #1
koolmodee
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Can we use Heisenberg's uncertainty relation to explain the working of high energy colliders?
(Isn't it rather that we need high energies to turn virtual into real particles?)

If Heisenberg relations apply, why do we need high momentum particles? Are not rather particles with uncertainties in their momentum needed?

thank you
 
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  • #2
koolmodee said:
If Heisenberg relations apply, why do we need high momentum particles? Are not rather particles with uncertainties in their momentum needed?

We're trying to produce particles with uncertainties in their momentum (not quite the way I'd put it, but I see what you mean) …

we need to collide high momentum particles to produce the high energies out of which uncertain-momentum particles will temporarily appear. :smile:
 
  • #3
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  • #4
if it is a easy question, why don't you answer it yourself?

we need high momentum particles to get high center of mass energy, which can excite new particles from the vacuum.
 
  • #5
The HUP is irrelevant for high energy colliders, except for questions of resolution and beam focusing.
 
  • #6
The HUP is irrelevant for high energy colliders, except for questions of resolution and beam focusing.

I had the suspicion, too. But got confused by many sources on the net which bring up HUP when explaining the functioning of colliders.
 
  • #7
koolmodee said:
I had the suspicion, too. But got confused by many sources on the net which bring up HUP when explaining the functioning of colliders.

maybe you just missunderstood? Can you show us one of them?
 
  • #8
Look here science advisor malawi glenn

http://www.particleadventure.org/frameless/accel.html

where they say:

Accelerators solve two problems for physicists. First, since all particles behave like waves, physicists use accelerators to increase a particle's momentum, thus decreasing its wavelength enough that physicists can use it to poke inside atoms. Second, the energy of speedy particles is used to create the massive particles that physicists want to study.So there a two problems or what? Are they related or not?
 
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  • #9
no, they mean that if you have high momentum particles, you can resolve smaller objects - see deBroigle wavelenght. So higher momentum particles can see smaller objects.

Also this a good link: http://www3.tsl.uu.se/thep/courses/QM/scattering-overview.pdf

But there is no HUP in here, just high centre of mass energy (exciting high mass particles from vacuum) and small wavelenghts (resolve small objects)
 
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  • #10
clear now, thanks everybody!
 

1. What is momentum and why is it important in science?

Momentum is a measure of an object's mass and velocity. It is important in science because it helps us understand how objects move and interact with each other, and it is a fundamental concept in the laws of motion.

2. How is momentum calculated?

Momentum is calculated by multiplying an object's mass by its velocity. The equation for momentum is P = mv, where P is momentum, m is mass, and v is velocity.

3. What is the difference between high and uncertain momentum?

High momentum refers to an object that has a large mass and/or a high velocity, resulting in a significant amount of momentum. Uncertain momentum refers to a situation where the momentum of an object is not known or cannot be accurately determined.

4. How does momentum affect collisions?

Momentum is conserved in collisions, meaning that the total momentum before and after a collision is the same. This can help determine the outcome of a collision, such as the direction and speed of the objects after impact.

5. Can an object have momentum without moving?

Yes, an object can have momentum without moving if it has mass. Momentum is a product of both mass and velocity, so even if an object is at rest, it still has momentum due to its mass.

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