Anomalies and Mysteries — Part 4: The reactor and gallium anomalies

Two persistent few-percent deficits in different experiments — both compatible with sterile-neutrino oscillation, both more likely explained by mundane physics. The story of how both anomalies have evolved.

Conceptual rendering of the reactor and gallium anomalies

This is the fourth part of the Anomalies and Mysteries series. We turn to two short-baseline disappearance anomalies that have plagued the field for decades and remain partially unresolved: the reactor antineutrino anomaly and the gallium anomaly.

The reactor antineutrino anomaly

Reactor antineutrino experiments measure the inverse-beta-decay rate at known distances from a nuclear reactor. The expected rate depends on:

  • The reactor’s thermal power and isotopic composition.
  • The antineutrino energy spectrum per fission per isotope (calculated from nuclear physics).
  • The inverse-beta-decay cross section (known to ~1%).
  • The detector efficiency.

Most of these are known to ~1% or better. The dominant uncertainty has historically been the antineutrino spectrum per fission.

In 2011, Mention, Lasserre, and others re-evaluated the spectrum based on updated nuclear-physics inputs. The new predictions were about 3% higher than the old ones. Combined with high-statistics short-baseline measurements, this revealed a ~6% deficit: measurements at 10-100 meter baselines were about 6% lower than the new predictions.

The interpretation: either the flux predictions were still wrong, or short-baseline antineutrinos were oscillating into a sterile state.

The implication: sterile oscillation at $\Delta m^2 \sim 1$ eV²

Standard three-flavor oscillation predicts essentially no electron-antineutrino disappearance at the 10-meter scale. The atmospheric oscillation is too long-baseline to act at meters; the solar oscillation needs kilometers.

A fourth (sterile) state at $\Delta m^2 \sim 1$ eV² would produce disappearance at exactly the right L/E. The fitted parameters would be similar to those required to explain LSND.

The story converged on a four-neutrino picture: $\Delta m^2_{14} \sim 1$ eV², $|U_{e4}|^2 \sim 0.02$.

The short-baseline reactor experiments

Several experiments were built specifically to test the reactor anomaly at very short baselines:

PROSPECT (USA, ~7-10 m from a research reactor at Oak Ridge).

STEREO (France, ~10 m from the high-flux research reactor at Grenoble).

DANSS (Russia, segmented detector at ~10-12 m baselines, with adjustable height).

Neutrino-4 (Russia, claimed at one point to see oscillation signal at marginal significance).

The combined results through ~2023 mostly disfavored the sterile-oscillation interpretation. The data preferred mundane flux-prediction corrections.

The flux predictions resolved

Meanwhile, work on the nuclear-physics inputs has continued. Improved measurements of the beta spectra of fission products — especially uranium-235 — have shown that the 2011 predictions were probably too high. The “anomaly” was, in large part, a flux-prediction error.

The Daya Bay collaboration measured rate ratios for different reactor fuel mixes, isolating the contributions from individual fissioning isotopes. Their measurements suggested that the uranium-235 prediction was specifically off by 7-8%, with plutonium predictions accurate. This was incorporated into refined flux models.

After these corrections, much of the original reactor anomaly disappears. Residual ~1-2% tensions remain in some short-baseline data but are statistically modest.

Status (2026): Largely resolved into nuclear-physics corrections. Sterile-oscillation interpretation strongly disfavored.

The gallium anomaly: a separate puzzle

Gallium-based solar neutrino detectors (GALLEX, SAGE) needed periodic calibration using radioactive sources of known activity. The setup: a $^{51}$Cr or $^{37}$Ar source placed inside the detector, producing a known flux of $\nu_e$ at $\sim 0.7$ MeV. The detector’s response is the ratio of measured-to-predicted rate.

The expected ratio is 1. The measured ratios from GALLEX (1994-1997) and SAGE (1996-2006) calibration runs averaged about 0.85 — a 15% deficit.

The deficit was puzzling but not alarming on its own. Cross-section uncertainties of ~10% could plausibly explain it.

BEST sharpens it

The Baksan Experiment on Sterile Transitions (BEST) was built specifically to test the gallium anomaly with higher statistics. BEST used a 3.4 MCi $^{51}$Cr source and a two-zone gallium detector, allowing both an “inner” and “outer” rate measurement with different effective baselines.

BEST’s first results were published in 2022: a measured-to-predicted ratio of about 0.79 ± 0.05 — a ~4σ deficit. The inner and outer measurements agreed.

The result was unwelcome. The deficit was now too large to easily explain by cross-section uncertainties alone. Sterile-neutrino oscillation at $\Delta m^2 \gtrsim 1$ eV² with $|U_{e4}|^2 \sim 0.1$ remained the most natural sterile interpretation, but the required parameters were in tension with reactor short-baseline limits and with cosmology.

Where things stand

The reactor antineutrino anomaly: largely absorbed into flux-prediction corrections. Residual tension is small.

The gallium anomaly: real, sharp, unresolved. Possible explanations:

  • Cross-section uncertainty: Maybe the $\nu_e + {}^{71}\text{Ga}$ cross section is genuinely lower than calculated, due to nuclear-structure effects in the daughter $^{71}$Ge that haven’t been fully accounted for.
  • Source-activity calibration: Maybe the radioactive source activities were systematically over-estimated. (Unlikely, since multiple independent calibrations were done.)
  • Sterile oscillation: Most natural fit to the data shape, but in tension with other constraints.

The community is currently divided. Most physicists lean toward the cross-section explanation. A minority view holds that BEST’s evidence for sterile oscillation should be taken seriously.

What would close the question

Future experiments that could decisively close (or confirm) the gallium anomaly:

  • More gallium calibration campaigns with different isotopes or geometries.
  • Independent cross-section measurements of $\nu_e$-Ga via $\beta^+$ decay of $^{71}$Ge.
  • The Short-Baseline Neutrino program at Fermilab — if any sterile signal at $\Delta m^2 \sim 1$ eV² exists, SBN will see it.
  • JUNO short-baseline near-detectors could rule out the corresponding parameter space.

The next part of this series turns to the most famous example of a “false alarm” in neutrino physics: OPERA’s 2011 superluminal episode.

Frequently asked

What is the reactor antineutrino anomaly?

A ~6% deficit in measured reactor antineutrino rates at short baselines (10-100 m) compared to flux predictions, first highlighted by Mention et al. in 2011. The deficit could indicate sterile-neutrino oscillation at Δm² ~ 1 eV². However, refined flux predictions and short-baseline measurements have largely absorbed the original anomaly into nuclear-physics corrections.

What is the gallium anomaly?

A ~20% deficit in gallium-based detection of radioactive calibration sources (chromium-51 or argon-37), compared to nominal cross-section predictions. First seen in GALLEX/SAGE calibration runs in the 1990s; sharpened by BEST in 2022 to ~4σ. The deficit could indicate sterile-neutrino oscillation at similar Δm² to the reactor anomaly, but other explanations (cross-section uncertainty, source activity calibration) remain possible.

Are these the same anomaly as LSND/MiniBooNE?

All four are potentially explained by the same sterile-neutrino mass-squared splitting around 1 eV². But the experiments measure different mixing parameters (LSND/MiniBooNE: |U_μ4|, gallium/reactor: |U_e4|), so the combined parameter-space fit is non-trivial. Global fits show tension between the appearance-oriented anomalies (LSND, MiniBooNE) and the disappearance-oriented anomalies (reactor, gallium).

What's the current best guess?

The reactor anomaly is largely resolved by updated flux predictions and short-baseline disappearance experiments — most of the deficit is nuclear-physics, not new physics. The gallium anomaly remains genuinely puzzling. BEST's recent result keeps it alive at ~4σ. Most physicists currently lean toward mundane explanations (cross-section issues), but the gallium anomaly is not closed.

Cite this article 5 formats

APA

Neutrino Times Editorial Team. (2026, March 18). Anomalies and Mysteries — Part 4: The reactor and gallium anomalies. Neutrino Times. https://neutrino-times.com/articles/anomalies-part-4-reactor-gallium/

Chicago

Neutrino Times Editorial Team. "Anomalies and Mysteries — Part 4: The reactor and gallium anomalies." Neutrino Times, March 18, 2026. https://neutrino-times.com/articles/anomalies-part-4-reactor-gallium/.

MLA

Neutrino Times Editorial Team. "Anomalies and Mysteries — Part 4: The reactor and gallium anomalies." Neutrino Times, 18 Mar. 2026, https://neutrino-times.com/articles/anomalies-part-4-reactor-gallium/.

BibTeX

@misc{neutrino-times-anomalies-part-4-reactor-gallium,
  author       = {Neutrino Times Editorial Team},
  title        = {Anomalies and Mysteries — Part 4: The reactor and gallium anomalies},
  howpublished = {Neutrino Times},
  year         = {2026},
  month        = {mar},
  url          = {https://neutrino-times.com/articles/anomalies-part-4-reactor-gallium/},
  note         = {Accessed: 2026-03-18}
}

RIS

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