MK ATLAS· Science Atlas

Hideki Yukawa

What holds the nucleus together?

Physics· 1935· Kyoto · Hideki Yukawa· Unsettled

1min readUpdated 2026-09-29

That time, that place

Protons sit crowded into a very small space inside the nucleus, and like charges repel — the more strongly the closer they are.

The nucleus should have flown apart long ago. Something far stronger must be holding it.

Why this question

The force has a strange property. Move even an atom's width away and it is not felt at all. It is powerful only at very short range and effectively absent beyond.

Gravity and electric force weaken with distance but reach out forever. How can a force simply stop at a certain range?

What was found

Yukawa took force to be carried by the exchange of particles — the idea that electromagnetism works by exchanging photons was already in play.

A photon has no mass and can travel indefinitely. If the exchanged particle has mass, the range becomes limited — the heavier it is, the shorter the reach.

So you can work backward: what mass gives a range about the size of a nucleus? The answer was around two hundred times the electron's — far lighter than a proton, far heavier than an electron, a mass no one had ever seen.

The weight of an unseen particle, computed on paper.

The old idea

A force was simply pulling or pushing

The evidence

A mass back-calculated from the condition that the force act only at nuclear range

What followed

Two years later a particle of similar mass turned up in cosmic rays, but with the wrong properties. The particle he predicted was confirmed only in 1947. In 1949 he became Japan's first Nobel laureate — four years after the war's end

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