What Limits the Separation of Quarks in Quarkonia?

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In summary, the limitations for splitting up quarks from their binding formation include an infinite force between them as the distance decreases, as well as the requirement for color-neutrality in observable states. Additionally, the strong coupling constant becomes constant at the "string breaking" scale. There may be other restrictions for finding quarks in groups instead of individuals, as the potential for two equally charged particles becomes constant at close distances.
  • #1
MathematicalPhysicist
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What kind of limitations are there for trying to split up the quarks from their binding formation?
 
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  • #2
The force between them goes to infinity as a function of separation distance.
 
  • #3
Isn't this problem of infinite force between quarks like the infinite of every force which decreases 1/r^a with distance r, and a>0, as r->0.

I'm not convinced this is the only restriction for finding quarks in groups rather than individuals.
 
  • #4
That is the reason for why you, classically, can not force two chargers of equal type arbitrary close.

Another feature is the criterion of colour-neutrality, all physically observable states must have 0 colour charge.
 
  • #5
malawi_glenn said:
The force between them goes to infinity as a function of separation distance.
I should say I disagree :smile:
alpha_s.jpg

The strong coupling constant at large distances
 
  • #6
I was referring to the quark-quark potential in e.g. quarkonia. That potential becomes constant at the "string breaking" scale.
 

Related to What Limits the Separation of Quarks in Quarkonia?

1. What is meant by "smashing quarks"?

"Smashing quarks" refers to the process of colliding particles at high energies in order to study the fundamental building blocks of matter, known as quarks.

2. Why is it important to study quarks?

Quarks are the most basic particles that make up all matter in the universe. By studying them, we can gain a better understanding of how the universe works on a fundamental level.

3. How do scientists "smash" quarks?

Scientists use particle accelerators, such as the Large Hadron Collider, to accelerate particles to near the speed of light and then collide them together. This allows them to study the resulting energy and particles produced during the collision.

4. What have scientists learned from "smashing quarks"?

Through studying quarks, scientists have been able to confirm the existence of the Higgs boson, which gives other particles mass, and discover new particles, such as the top quark.

5. Are there any potential risks or dangers to "smashing quarks"?

While there are some potential risks involved in high energy particle collisions, such as the formation of microscopic black holes, scientists have taken extensive precautions and the benefits of studying quarks far outweigh any potential risks.

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