- #1
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What kind of limitations are there for trying to split up the quarks from their binding formation?
What Limits the Separation of Quarks in Quarkonia?
- Context: Graduate
- Thread starter MathematicalPhysicist
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Discussion Overview
The discussion revolves around the limitations and characteristics of the force between quarks, particularly in the context of quarkonia. Participants explore the nature of the binding forces that prevent quarks from being separated and the implications of color charge neutrality.
Discussion Character
- Debate/contested
Main Points Raised
- One participant questions the limitations of separating quarks, suggesting that there may be more factors involved than just the infinite force at separation.
- Another participant asserts that the force between quarks approaches infinity as they are separated, indicating a strong binding force.
- A different viewpoint compares the quark separation issue to other forces that decrease with distance, expressing skepticism about the singularity of the infinite force argument.
- One participant introduces the concept of color neutrality, stating that all observable states must have zero color charge, which may influence quark separation.
- Another participant challenges the idea of infinite force, mentioning the strong coupling constant and its behavior at large distances.
- A later reply specifies that the discussion pertains to the quark-quark potential in quarkonia, noting that this potential becomes constant at a certain scale known as "string breaking."
Areas of Agreement / Disagreement
Participants express differing views on the nature of the forces involved in quark separation, with no consensus reached on the limitations or characteristics of these forces.
Contextual Notes
Some assumptions regarding the behavior of forces at different distances and the implications of color charge neutrality remain unresolved. The discussion also touches on the complexities of the quark-quark potential without fully clarifying the mathematical details.
- #2
malawi_glenn
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The force between them goes to infinity as a function of separation distance.
- #3
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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.
I'm not convinced this is the only restriction for finding quarks in groups rather than individuals.
- #4
malawi_glenn
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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.
Another feature is the criterion of colour-neutrality, all physically observable states must have 0 colour charge.
- #5
humanino
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- #6
malawi_glenn
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I was referring to the quark-quark potential in e.g. quarkonia. That potential becomes constant at the "string breaking" scale.
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