Particle accellerators: How do they get the particles to hit eachother?

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Discussion Overview

The discussion centers on the mechanisms by which particle accelerators, specifically the Large Hadron Collider (LHC), manage to accelerate particles to near light speed and facilitate collisions between them. It explores the technical aspects of beam steering, collision probability, and the statistical nature of particle interactions.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about how particles are kept from colliding until they reach high speeds and how collisions are then facilitated.
  • Another participant explains that in the LHC, two counter-rotating beams are kept separate and only cross at designated points, using magnetic fields for steering and focusing.
  • It is noted that individual particles cannot be controlled, and collisions are left to chance, similar to bullets from machine guns missing most of the time but occasionally hitting.
  • A participant introduces the concept of "luminosity," indicating that it measures the frequency of collisions, emphasizing that most particles do not collide, making the collision rate statistical.
  • Details are provided about the LHC's operation, including the use of separate accelerators for proton beams and the historical context of the Fermilab Tevatron, which had different operational dynamics.
  • Another participant mentions the "cross section" for collisions, providing a reference to specific data that illustrates the probability of particle interactions based on beam characteristics.

Areas of Agreement / Disagreement

Participants provide various explanations and details about the operation of particle accelerators, but there is no consensus on the clarity of understanding regarding the mechanisms involved. The discussion remains exploratory with multiple viewpoints presented.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about particle behavior, the definitions of terms like "luminosity," and the specific statistical models used to describe collision probabilities. These aspects are not fully resolved within the conversation.

RichyB
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I've never understood how they do this.

Particles being extremely, extremely tiny, how do they manage to send them around the accelerator a million times until they reach almost the speed of light, then when they reach that speed, crash them together?

My question is how do they get them to avoid each other until they hit almost light speed, then when they hit almost light speed, how do they get them to crash together?
 
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In the LHC, the two counter-rotating beams are kept separate, and they only cross the beams in a few places. They use magnetic fields to steer and focus the beams in the locations where they want the beams to interact. There is no control over the individual particles - they just cross the two beams and rely on chance to have some of them collide. Imagine two machine guns firing at each other - most bullets will miss, but occasionally they will hit. Since there are a huge number of particles in the beams, there are enough collisions to analyze.
 
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That is why you hear the term "luminosity", and the attempt to get this as high as possible. It gives an indication of how much and how often one gets collisions. The majority of particles passing through each other in each bunch do NOT collide. So the collision rate is statistical.

Zz.
 
LHC has two proton beams in separate accelerators colliding at crossing points inside each detector. The Fermilab Tevatron (shut down last September) had a proton beam colliding with an antiproton beam, both beams in the same accelerator. Because protons and antiprotons have the same mass but opposite charge, both beams had the same closed orbit (trajectory), but in the opposite direction. So collisions inside each detector was automatic, and some extra effort was needed to prevent the two beams from colliding elsewhere. Each beam bunch had ~ 1012 particles, and the desired interaction rate is of the order of 1 per "crossing."

The "cross section" for pp and p-bar p collisions is given in the plots on page 12 of http://pdg.lbl.gov/2011/reviews/rpp2011-rev-cross-section-plots.pdf, so the probability of one particle in one beam hitting one particle in the other beam is roughly 4 x 10-26 cm2 divided by the beam cross sectional area at the colliding point.
 

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