# Yukawa force vs Nuclear force

Are Neutrons and anti-Neutrons attracted to each other over distance?

Where John Rennie says:

Neutrons and anti-neutrons repel each other with a Yukawa force mediated by pion exchange.

Is the long range neutron-antineutron interaction repulsive or attractive?

Where Luboš Motl says:

It follows that a neutron and an antineutron Yukawa-repel, too.

All along, I have thought that it is the residual strong force, that is the nuclear force, that is mediated by pions, that describes the interactions of the nucleons inside the nucleus. This means that according to wiki:

The nuclear force binds nucleons into atomic nuclei.

The nuclear force is powerfully attractive between nucleons at distances of about 1 femtometre (fm, or 1.0 × 10−15 metres), but it rapidly decreases to insignificance at distances beyond about 2.5 fm. At distances less than 0.7 fm, the nuclear force becomes repulsive.

So now I am a little bit confused, is the nuclear force the same as the Yukawa force, or is it different? Is it that the Yukawa force is the short distance version of the nuclear force?

Quesion:

1. Is the nuclear force the same as the Yukawa force or are they different?

$$V=ke−λrrV = k \frac{e^{-\lambda r}}{r}$$. The nuclear force can be approximately described by such potential (with $$λ∼mπ)\lambda \sim m_\pi)$$, so it’s an example of Yukawa force.