Are there any reasons of the similarity? As I remember both potentials have the form

$$\sim e^{-\alpha r}/r$$

where $r$ is the distance.

The comment of Bort below led me to Wikipedia Debye–Hückel theory and Yukawa Potential which maybe will bring some light over the topic..?

Could the quarks in the nucleus act like screened plasma or something and somewhat contribute to the strong interaction?


1 Answer 1


The distance dependance of the potential of an electrical $\ell$-pole goes as:

$$ V_\ell(r) \propto \frac{1}{r^{\ell+1}} $$

So a monopole has $\ell = 0$ and $V \propto r^{-1}$, a dipole has $\ell=1$ and $V \propto r^{-2}$, and so on. This is a very different distance dependance to the strong force.

  • $\begingroup$ As an addage: Yukawa like potentials can arise when theres screening of interactions (e.g. Debye-Hückel theory) and then the mechanism is partially comparable $\endgroup$
    – Bort
    Jul 24, 2015 at 10:02

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