Decay DancerWeak Nuclear Force / Beta Decay
Decay Dancer – Weak Nuclear Force / Beta Decay Physics T-Shirt
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Size & fitS–5XL
Unisex heavy cotton (Gildan 5000), classic fit.
| Size | Width | Length | Sleeve |
|---|---|---|---|
| S | 18 | 28 | 15.1 |
| M | 20 | 29 | 16.5 |
| L | 22 | 30 | 18 |
| XL | 24 | 31 | 19.5 |
| 2XL | 26 | 32 | 21 |
| 3XL | 28 | 33 | 22.4 |
| 4XL | 30 | 34 | 23.7 |
| 5XL | 32 | 35 | 25 |
Measurements in inches, ±1.5 in tolerance.
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∂ The physics
A neutron, left alone, does not stay a neutron.
Inside a stable nucleus a neutron can last indefinitely. Set it free and on average it lasts a little under fifteen minutes before it becomes a proton, an electron, and an electron antineutrino. Underneath, one of its down quarks turns into an up quark by way of a \(W^{-}\) boson, a particle about eighty-five times heavier than the neutron itself, which exists here only as a fleeting intermediate and immediately becomes the electron and the antineutrino. Changing a quark's flavour this way is something only the weak force does.
The accounting is exact. A neutron outweighs a proton plus an electron by 0.782 MeV of rest energy, and the decay products share exactly that. Early measurements found the electrons coming out with a spread of energies below that maximum, as if energy were going missing. In 1930 Wolfgang Pauli proposed an unseen neutral particle carrying the difference. Enrico Fermi built a theory of beta decay around it in 1934 and gave it its name. Clyde Cowan and Frederick Reines detected it in 1956. The next year Chien-Shiung Wu's experiment with cobalt-60 showed that beta decay does not look the same in a mirror.
The strange part is the clock. Trap ultracold neutrons in a bottle and count how many survive: 878.4 ± 0.5 seconds. Measure a neutron beam instead and count the protons that come out: about nine seconds longer. Both methods are careful work, and they still disagree. Nobody yet knows why.
Decay Dancer is the neutron mid-turn: same mass number, new identity, something invisible leaving at the edge of the frame.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(n, p\) | neutron, proton | — |
| \(e^{-}\) | electron | — |
| \(\bar\nu_e\) | electron antineutrino | — |
| \(d, u\) | down, up quark | — |
| \(W^{-}\) | virtual W boson | — |
| \(m_n, m_p, m_e\) | neutron, proton, electron masses | \(\mathrm{kg}\) |
| \(Q\) | kinetic energy shared by the decay products (neutrino mass neglected; quoted in MeV) | \(\mathrm{J}\) |
Sources
- NIST CODATA 2022 — neutron mass energy equivalent in MeV (opens in a new tab)
- NIST CODATA 2022 — proton mass energy equivalent in MeV (opens in a new tab)
- NIST CODATA 2022 — electron mass energy equivalent in MeV (opens in a new tab)
- PDG 2024 listings — neutron (mean life 878.4 ± 0.5 s; beam vs bottle note) (opens in a new tab)
- Wietfeldt & Greene (2011) Colloquium: The neutron lifetime, Rev. Mod. Phys. 83, 1173 (opens in a new tab)
- Encyclopaedia Britannica — Beta decay (opens in a new tab)
- Encyclopaedia Britannica — Neutrino (opens in a new tab)
- Cowan, Reines et al. (1956) Detection of the Free Neutrino: a Confirmation, Science 124, 103 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 1995 (Perl, Reines) (opens in a new tab)
- Wu, Ambler, Hayward, Hoppes, Hudson (1957) Experimental Test of Parity Conservation in Beta Decay, Phys. Rev. 105, 1413 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 1957 (Yang, Lee) (opens in a new tab)
- Feynman Lectures on Physics Vol. I Ch. 52: Symmetry in Physical Laws (opens in a new tab)
- PDG 2024 listings — W boson (mass world average and CDF tension) (opens in a new tab)
- PDG 2024 review — Electroweak model and constraints on new physics (opens in a new tab)
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