Hideki YukawaHeavy Ball. Short Game.
Hideki Yukawa Sticker – Heavy Ball. Short Game. | Physics Sticker
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∂ The physics
The sticker says Heavy Ball. Short Game. That is the whole idea behind Hideki Yukawa's meson.
A nucleus packs positively charged protons together, and they repel. Something stronger must hold them, and it has to switch off fast, because nuclear forces barely reach beyond a few femtometres. In November 1934 Yukawa, then 27, presented a theory, published in 1935: protons and neutrons interact by exchanging a new, electrically charged particle, much as charges interact through light.
The catch is the mass. A heavy particle can only be borrowed briefly, so it cannot carry the force far, and the range comes out as ħ/mc. Taking a range parameter of 5×10¹² per centimetre, a range of about 2 femtometres, he got a mass about 200 times the electron's. The ball on this sticker is stamped with that estimate.
In 1937 a particle of roughly that mass turned up in cosmic rays, and for a decade it was taken to be his. It was the muon, which turned out to feel no strong force at all. The real thing, the charged pion, was found in 1947 by Cecil Powell's group at Bristol in photographic emulsions exposed on mountains. It weighs about 273 electron masses.
Yukawa received the 1949 Nobel Prize in Physics for predicting the existence of mesons, the first Japanese Nobel laureate. Today the strong force is described by quantum chromodynamics, but pion exchange is still the right picture of the nuclear force at long range.
Heavy ball. Short game.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(V(r)\) | potential energy between two nucleons | \(\mathrm{J}\) |
| \(g\) | coupling strength (g²/4π has units of energy times length here) | \(\mathrm{J^{1/2}·m^{1/2}}\) |
| \(r\) | separation | \(\mathrm{m}\) |
| \(R\) | range of the force | \(\mathrm{m}\) |
| \(\lambda\) | Yukawa's range parameter, the inverse of R (he took 5×10¹² per centimetre) | \(\mathrm{m⁻¹}\) |
| \(\hbar\) | reduced Planck constant | \(\mathrm{J·s}\) |
| \(m\) | mass of the exchanged particle | \(\mathrm{kg}\) |
| \(c\) | speed of light | \(\mathrm{m/s}\) |
| \(m_e\) | electron mass | \(\mathrm{kg}\) |
Sources
- Yukawa (1935) On the Interaction of Elementary Particles. I, Proc. Phys.-Math. Soc. Japan 17, 48 (mass estimate on p. 53) (opens in a new tab)
- NobelPrize.org — Hideki Yukawa, Physics 1949 (facts) (opens in a new tab)
- NobelPrize.org — Physics 1949, award ceremony speech (opens in a new tab)
- Neddermeyer & Anderson (1937) Note on the Nature of Cosmic-Ray Particles, Phys. Rev. 51, 884 (opens in a new tab)
- Lattes, Muirhead, Occhialini & Powell (1947) Processes involving charged mesons, Nature 159, 694 (opens in a new tab)
- NobelPrize.org — Physics 1950, C. F. Powell (pion discovery) (opens in a new tab)
- Particle Data Group (2024) — charged pion listing, mass 139.57 MeV (opens in a new tab)
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