Gallium Anomaly
Missing Captures / Neutrino Physics
Size guide S–5XL · inches
A tally that refuses to balance: about 20% fewer gallium captures than predicted.
The Physics
Put a known electron-neutrino source inside gallium and count the germanium-71 atoms it makes. GALLEX and SAGE measured a combined measured/predicted ratio of 0.87 ± 0.05. BEST measured 0.79 ± 0.05 in its inner volume and 0.77 ± 0.05 in its outer volume, with no evidence of distance dependence.
⁷¹Ga + ν_e → ⁷¹Ge + e⁻; R = 0.80 ± 0.05 — about 4σ below 1.
- ⁷¹Ga and ⁷¹Ge: gallium-71 and germanium-71 nuclei.
- ν_e: electron neutrino; e⁻: electron.
- R: measured germanium-71 production rate divided by the predicted rate (dimensionless).
- σ here: standard deviations, expressing statistical significance; not the capture cross-section.
- Capture threshold: 232.4 keV (approximately 3.723 × 10⁻¹⁴ J).
- Germanium-71 half-life: 987 552 s (11.43 days).
- keV: kiloelectronvolt; MCi: megacurie, with 1 MCi = 3.7 × 10¹⁶ Bq (decays per second).
Honest caveat: These are fewer captures, not a count of “missing neutrinos”. The printed 0.80 ± 0.05 and about 4σ belong together; ratios and significance depend on the capture cross-section used. Sterile neutrinos? Tension with reactor, solar and KATRIN data. A wrong capture cross-section? Still debated. Cadeddu and co-authors’ 2026 nuclear-physics proposal is not independently confirmed. OPEN QUESTION.
Sources
- Barinov et al. (BEST), Phys. Rev. Lett. 128, 232501 (2022), doi:10.1103/PhysRevLett.128.232501.
- Barinov et al., Phys. Rev. C 105, 065502 (2022), doi:10.1103/PhysRevC.105.065502.
- Elliott, Gavrin & Haxton, “The gallium anomaly,” Prog. Part. Nucl. Phys. 134, 104082 (2024), doi:10.1016/j.ppnp.2023.104082.
- Cadeddu et al., Phys. Rev. Lett. 137, 131805 (2026), doi:10.1103/5pvf-mcr1 (proposed resolution).
- CERN Courier, “Two strikes for the light sterile neutrino” (14 January 2026).
On the shirt
Front:
“MISSING: 20%”
“THE GALLIUM ANOMALY · UNSOLVED”
The missing fraction refers to expected captures. Back:
“THE GALLIUM ANOMALY”
“⁷¹Ga + ν_e → ⁷¹Ge + e⁻ (threshold 232.4 keV; ⁷¹Ge half-life 11.43 days)”
“Put a known neutrino source inside a tank of gallium. Count the germanium atoms it makes.”
“GALLEX and SAGE (1990s, ⁵¹Cr and ³⁷Ar sources): measured/predicted = 0.87 ± 0.05”
“BEST (Baksan, 2019, 3.414 MCi of ⁵¹Cr, two nested gallium volumes):”
“ inner R = 0.79 ± 0.05 outer R = 0.77 ± 0.05”
“All gallium source experiments combined: 0.80 ± 0.05 - about 4σ below 1.”
“About 20% of the expected captures are missing, near and far alike.”
“Sterile neutrinos? Clash with reactor, solar and KATRIN data. A wrong ⁷¹Ga capture cross-section? Still debated.”
“OPEN QUESTION.”
“Barinov et al. (BEST), Phys. Rev. Lett. 128, 232501 (2022); Phys. Rev. C 105, 065502 (2022).”
Printed front and back. Physics. Personified.
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Details
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 |
スケール感の目安:サイズ M の幅は 20 in(50.80 cm)で、プランク長のおよそ 3.143 × 1034 倍です(lP = 1.616255 × 10−35 m)。メジャーで測るほうが早いです。
Measurements in inches, ±1.5 in tolerance.
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