What is the Yukawa potential converging to zero? Afaik the strong potential rises with the distance between quarks, hence, it should rise accordingly.
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2$\begingroup$ To be honest, most of your questions can be answered by slowly reading the linked Wikipedia article. But also if you search on PhysicsSE, you'll find many Q&A's: physics.stackexchange.com/q/326260/127780, physics.stackexchange.com/q/467728/127780, physics.stackexchange.com/q/9663/127780, ... $\endgroup$– ersbygre1Commented Aug 22, 2019 at 9:00
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$\begingroup$ I updated the question $\endgroup$– BenCommented Aug 22, 2019 at 10:04
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1 Answer
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This is an answer to the question v3.
The Yukawa interaction was usually thought to describe nucleon-nucleon interactions (nucleon = proton or neutron). Nowadays, one cannot view it as a fundamental model for quarks and gluons.
In order to derive the Yukawa potential, you need to consider massive spin-1 bosons (Yukawa initially thought of pions mediating the strong force between nucleons), as indicated in this question.
Finally, yes, the strong potential between quarks and gluons is (assumed to be) linearly increasing, but this has nothing to do with the Yukawa potential between nucleons.
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$\begingroup$ Thanks! I have a follow up question here: physics.stackexchange.com/questions/498136/… $\endgroup$– BenCommented Aug 22, 2019 at 10:34