The problem
A neutrino can turn a gallium atom into germanium. Scientists place a powerful neutrino source beside gallium and count the germanium produced. Why is the count roughly one fifth below the usual reaction prediction?[1]
Why do known neutrino sources produce fewer germanium atoms in gallium than the adopted capture calculation predicts? The reaction νe + 71Ga → 71Ge + e− depends on the nuclear transition and the electron wave functions. Its calibration uses 71Ge electron capture, a decay in which the nucleus absorbs an electron and becomes gallium. The September 2026 proposal integrates spatially structured nuclear transition densities with the lepton wave functions, instead of treating their contributions as separate factors.[1] [2]
Scope
Electron-neutrino capture on gallium-71 in chromium-51 and argon-37 source calibrations, including BEST. Resolve the rate discrepancy with controlled nuclear and experimental uncertainties and independent neutrino constraints; this does not ask for the absolute neutrino mass or assume sterile neutrinos exist.
What remains open
Its compact, nodal profiles are phenomenological surrogates, not computed shell-model transition densities. Excited-state normalization also needs reassessment. A resolution must propagate these uncertainties together with extraction/counting systematics and test any oscillation model against reactor, solar and beta-decay constraints.[1] [2] [3]
Why it matters
A deficit attributed to a new neutrino state would change the account of which particles carry the flux. A smaller nuclear capture probability would instead change how the detector converts that flux into a count. An independently constrained reaction prediction, rather than a density profile fitted to the deficit, is needed to tell whether unexplained neutrino disappearance remains.[2] [3]
Research directions
2 directions to explore
Capture normalization
Compute the weak transition density and excited-state contribution independently of the anomalous source rates.
Discriminating source tests
Separate rate-normalization effects from source-energy or distance-dependent disappearance while respecting external neutrino bounds.
Definitions
2 terms
electron capture
A nuclear decay that absorbs an atomic electron and converts a proton into a neutron. Here 71Ge becomes 71Ga; its measured lifetime constrains calculations of the related neutrino capture reaction.[2]
transition densities
Functions describing where a nuclear transition contributes to the reaction amplitude. Contributions can have different signs at different radii; the proposed gallium profiles are fitted surrogates, not established microscopic densities.[2]
Sources
Partial results
Structured weak transition densities can fit the gallium deficit without changing the measured germanium lifetime. Scope: Phenomenological nuclear-density families fitted to source rates and decay constraints.
Microscopic densities and quantitative excited-state reassessment remain future work; this is a proposed conventional explanation.
Source date: 2025-12-23Exact electron wave functions integrated with nodal profiles suppress the calculated capture rate.Read the source ↗- A Search for Electron Neutrino Transitions to Sterile States in the BEST Experiment
Notes on A Search for Electron Neutrino Transitions to Sterile States in the BEST Experiment
Primary BEST account of two gallium target zones, extraction/counting and deficient capture rates. Ratios depend on the adopted neutrino-capture cross section.
- Possible solution to the gallium anomaly moving beyond the leptonic wave function factorization
Notes on Possible solution to the gallium anomaly moving beyond the leptonic wave function factorization
September 30, 2026 v4 proposes nuclear-transition-density profiles reducing the cross section while fitting germanium decay. The paper explicitly leaves microscopic nuclear densities and quantitative excited-state normalization to future work.
- Gallium Anomaly: Critical View from the Global Picture of νe and ν̄e Disappearance
Notes on Gallium Anomaly: Critical View from the Global Picture of νe and ν̄e Disappearance
Primary joint-constraint analysis explains why an oscillation fit to gallium alone is insufficient: reactor, solar and beta-decay constraints must also be satisfied.