---
title: "Super-Kamiokande: the neutrinos that took the long way | Sandbox Physics"
description: "Some arrived from the atmosphere overhead. Others crossed the Earth first. Comparing the two helped reveal that neutrinos change as they travel."
canonical_url: "https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/"
language: "en"
page_type: "story"
alternate_languages:
  zh-CN: "https://sandboxphysics.com/zh/stories/neutrinos/super-k-zenith-angle/"
last_modified: "2026-10-10"
---

[2026 Nobel Prize in Physics](https://sandboxphysics.com/nobel/2026/physics/)

# Super-Kamiokande: the neutrinos that took the long way

Some arrived from the atmosphere overhead. Others crossed the Earth first. Comparing the two helped reveal that neutrinos change as they travel.

Sandbox Physics · 2026-10-09 · Updated 2026-10-10 · First ideas

## A detector with sources all around the Earth

Neutrinos reach Super-Kamiokande, a water detector in Japan, from many directions. Cosmic rays strike the atmosphere all the time and produce showers of secondary particles, and those particles decay into neutrinos.

Neutrinos made in the air overhead travel a relatively short distance to the detector. Others are made on the far side of the planet. Neutrinos interact so rarely that they can cross the whole Earth and arrive from below.

So one instrument can compare short and long journeys. The arrival direction tells you roughly how far a neutrino traveled, a distance physicists call the baseline. The atmosphere does not supply exactly the same number from every direction, so researchers calculate how many events each direction should give instead of assuming equal counts.

Sources: [1] · [2]

## How water tells us which way a particle went

A neutrino that interacts in the water can produce a charged particle. If that particle moves faster than light travels in water, it gives off Cherenkov light. Sensors lining the tank pick up the light and record the pattern it makes.

From the pattern and the timing of the light, researchers estimate where the interaction happened and which way the charged particle went. The same information helps tell electron signals from muon signals.

That is the first step toward learning about the neutrino itself. The charged particle does not always travel exactly along the neutrino’s path, especially at lower energies, and the detector sees and reconstructs some kinds of event better than others. The analysis corrects for both.

Sources: [2] · [1]

1. 01 **From above**

   A short journey from the atmosphere

2. 02 **From below**

   A journey through the Earth

3. 03 **Compare the counts**

   Allow for direction and energy

A guide to how the measurement works. The diagram is schematic.

## The missing events had a direction

The 1998 Super-K paper, based on 535 days of observations, found a shortage of muon-neutrino events that depended on the angle of arrival. Upward-going events, which had made longer journeys, showed the larger deficit.

That pattern said more than a low total would have. If a calculation had simply overestimated the overall neutrino supply, many directions might have come up short together. Any explanation also had to say why the directions differed.

The result fit muon neutrinos turning into tau neutrinos along the way. The researchers checked detector effects and uncertainties in how the atmosphere produces neutrinos, and compared several event types, including electron-like events. None of the experimental or flux uncertainties they examined could explain the pattern.

Sources: [1] · [3]

## Distance matters, and so does energy

A neutrino produced with one flavor can later be detected as another. This is called neutrino oscillation, and the chance of the change depends on how far the neutrino travels and on its energy.

The equation below is a simplified two-flavor description. It shows why comparing distances is useful and why distance alone is not enough: at the same distance, neutrinos of different energies can have different chances of still being detected in their original flavor.

A real detector collects neutrinos of many energies and measures each one with limited precision, which blurs the ideal oscillation. Super-K therefore compared its observations with predictions for the events the instrument could actually detect.

$$
P_{\mu\mu}=1-\sin^2(2\theta)\sin^2\!\left(1.267\,\frac{\Delta m^2[\mathrm{eV}^2]L[\mathrm{km}]}{E[\mathrm{GeV}]}\right)
$$

The chance that a muon neutrino is still detected as a muon neutrino, in a two-flavor model in vacuum. L is the distance, E is the energy, theta sets the amount of mixing, and the mass term is the difference of the squared masses. The numerical factor assumes the units shown. The formula shows the trend; it does not reproduce the original fit.

Sources: [3] · [1]

## What the long journey taught us

Super-K’s result helped establish that neutrinos cannot all be massless, because oscillation needs differences between their masses. The finding was recognized with the 2015 Nobel Prize. How large the masses actually are is a separate question for other experiments.

SNO’s work on the Sun reached flavor change by a different route. SNO used reactions with different sensitivities to ask which flavors arrived; Super-K used travel distance.

The Cherenkov Lab shows where the measurement begins: tilt a charged particle’s path and watch where the light lands on the detector plane. One light pattern helps estimate one event. The 1998 discovery came from comparing many such events and seeing how the counts changed with direction.

Sources: [3] · [2]

## What we learned

The shortage depended on how far the neutrinos had traveled. Arrival direction gives that distance, and Super-K used it to find evidence that muon neutrinos change flavor on the way to the detector.

## Try it in the Lab

[Atmospheric neutrino zenith experiment](https://sandboxphysics.com/labs/atmospheric-neutrino-zenith/) [Cherenkov rings](https://sandboxphysics.com/labs/cherenkov-rings/)

## Primary sources & revision

1. [Super-Kamiokande Collaboration · Evidence for Oscillation of Atmospheric Neutrinos (1998)](https://arxiv.org/abs/hep-ex/9807003)
2. [Kamioka Observatory · Super-Kamiokande detector](https://www-sk.icrr.u-tokyo.ac.jp/en/sk/about/detector/)
3. [Nobel Committee · Neutrino oscillations, scientific background (2015)](https://www.nobelprize.org/uploads/2017/09/advanced-physicsprize2015.pdf)

First published 2026-10-09; last revised 2026-10-10. Original explanatory text and diagrams by Sandbox Physics. Illustrations are schematic; no experimental event records are reproduced here. This is an independent educational publication, not an official Nobel or experiment collaboration publication.

[← Previous: How does the atmosphere make neutrinos all around us?](https://sandboxphysics.com/stories/neutrinos/atmospheric-neutrino-production/) [Next: Is finding a missing flavor the same as finding a new one? →](https://sandboxphysics.com/stories/neutrinos/neutrino-appearance-and-disappearance/)

## Keep reading

Neutrinos · Reading path

### Understand flavor change and mass

1. [Article **Before anyone saw oscillations, how did the mixing idea take shape?**](https://sandboxphysics.com/stories/neutrinos/pontecorvo-maki-nakagawa-sakata-mixing/)
2. [Article **Why can a neutrino change flavor?**](https://sandboxphysics.com/stories/neutrinos/neutrino-flavor-oscillations/)
3. [Article **How does the atmosphere make neutrinos all around us?**](https://sandboxphysics.com/stories/neutrinos/atmospheric-neutrino-production/)
4. [You are here **Super-Kamiokande: the neutrinos that took the long way**](https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/)
5. [Article **Is finding a missing flavor the same as finding a new one?**](https://sandboxphysics.com/stories/neutrinos/neutrino-appearance-and-disappearance/)
6. [Article **2015: how did two very different experiments establish flavor change?**](https://sandboxphysics.com/stories/neutrinos/nobel-2015-two-neutrino-evidence-paths/)
7. [Article **Neutrinos have mass. Why does oscillation not tell us how much?**](https://sandboxphysics.com/stories/neutrinos/oscillations-and-mass/)
8. [Article **Can the Earth help tell which neutrino mass comes first?**](https://sandboxphysics.com/stories/neutrinos/earth-matter-neutrino-mass-ordering/)

Neutrinos · Topic

### How the solar neutrino problem was solved

Detectors kept finding too few neutrinos from the Sun. Which experiments showed that the missing ones had changed flavor?

1. [Article **Why do neutrinos keep appearing in the Nobel Prize?**](https://sandboxphysics.com/stories/neutrinos/neutrinos-and-nobel-prizes/)
2. [Article **Gargamelle: what if a neutrino interacted and stayed a neutrino?**](https://sandboxphysics.com/stories/neutrinos/gargamelle-neutral-currents/)
3. [Article **The Sun’s missing neutrinos: a tank, a calculation and a long disagreement**](https://sandboxphysics.com/stories/neutrinos/homestake-solar-neutrino-problem/)
4. [Article **SNO: where did the Sun’s missing neutrinos go?**](https://sandboxphysics.com/stories/neutrinos/sno-flavor-transformation/)
5. [Article **Why does passing through the Sun change a neutrino’s flavor?**](https://sandboxphysics.com/stories/neutrinos/solar-matter-msw-effect/)
6. [You are here **Super-Kamiokande: the neutrinos that took the long way**](https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/)
7. [Article **Why can a neutrino change flavor?**](https://sandboxphysics.com/stories/neutrinos/neutrino-flavor-oscillations/)
8. [Article **Is finding a missing flavor the same as finding a new one?**](https://sandboxphysics.com/stories/neutrinos/neutrino-appearance-and-disappearance/)
9. [Article **2015: how did two very different experiments establish flavor change?**](https://sandboxphysics.com/stories/neutrinos/nobel-2015-two-neutrino-evidence-paths/)
10. [Article **KamLAND: testing a solar mystery with reactors on Earth**](https://sandboxphysics.com/stories/neutrinos/kamland-reactor-oscillations/)
11. [Article **Daya Bay: why compare a near detector with a far one?**](https://sandboxphysics.com/stories/neutrinos/daya-bay-near-far/)
12. [Article **RENO and Double Chooz: why repeat the mixing-angle measurement?**](https://sandboxphysics.com/stories/neutrinos/reno-double-chooz-independent-mixing-tests/)

Neutrinos · Topic

### Three kinds of neutrino and how they mix

How did physicists find a second and a third kind of neutrino, and then show that the three flavors mix?

1. [Article **Why did physicists need a second kind of neutrino?**](https://sandboxphysics.com/stories/neutrinos/brookhaven-muon-neutrino/)
2. [Article **DONUT: catching a tau before it disappears**](https://sandboxphysics.com/stories/neutrinos/donut-tau-neutrino/)
3. [Article **How does the atmosphere make neutrinos all around us?**](https://sandboxphysics.com/stories/neutrinos/atmospheric-neutrino-production/)
4. [You are here **Super-Kamiokande: the neutrinos that took the long way**](https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/)
5. [Article **Before anyone saw oscillations, how did the mixing idea take shape?**](https://sandboxphysics.com/stories/neutrinos/pontecorvo-maki-nakagawa-sakata-mixing/)
6. [Article **Why can a neutrino change flavor?**](https://sandboxphysics.com/stories/neutrinos/neutrino-flavor-oscillations/)
7. [Article **Is finding a missing flavor the same as finding a new one?**](https://sandboxphysics.com/stories/neutrinos/neutrino-appearance-and-disappearance/)
8. [Article **How do you make a beam of particles you cannot steer?**](https://sandboxphysics.com/stories/neutrinos/making-an-accelerator-neutrino-beam/)
9. [Article **K2K and MINOS: test flavor change with a distance you choose**](https://sandboxphysics.com/stories/neutrinos/k2k-minos-controlled-baselines/)
10. [Article **OPERA: tau appearance and a corrected clock anomaly**](https://sandboxphysics.com/stories/neutrinos/opera-tau-appearance-and-timing-correction/)

2 more groups

Neutrinos · Topic

### Neutrinos from a collapsing star

Underground detectors caught a burst of neutrinos from SN 1987A. What did it show, and how will today’s detectors catch the next one?

1. [Article **Why do neutrinos keep appearing in the Nobel Prize?**](https://sandboxphysics.com/stories/neutrinos/neutrinos-and-nobel-prizes/)
2. [You are here **Super-Kamiokande: the neutrinos that took the long way**](https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/)
3. [Article **DUNE: what detailed argon images and a long baseline can answer**](https://sandboxphysics.com/stories/neutrinos/dune-liquid-argon-and-long-baseline/)
4. [Article **Hyper-K: a larger target still needs a precise comparison**](https://sandboxphysics.com/stories/neutrinos/hyper-kamiokande-mass-and-systematics/)
5. [Article **SN 1987A: a supernova seen from underground**](https://sandboxphysics.com/stories/neutrinos/sn1987a-burst/)

Neutrinos · Topic

### Neutrinos and the Nobel Prize

Which neutrino results won the Nobel Prize, and what evidence stood behind each one?

1. [Article **Why do neutrinos keep appearing in the Nobel Prize?**](https://sandboxphysics.com/stories/neutrinos/neutrinos-and-nobel-prizes/)
2. [Article **How does a faint signal become a neutrino discovery?**](https://sandboxphysics.com/stories/neutrinos/neutrino-discovery-evidence-chain/)
3. [Article **Read IceCube’s discovery paper, one figure at a time**](https://sandboxphysics.com/stories/neutrinos/icecube-original-paper-figure-guide/)
4. [Article **Pauli’s letter: proposing a particle no one had seen**](https://sandboxphysics.com/stories/neutrinos/pauli-neutrino-letter/)
5. [Article **Cowan and Reines: finding the neutrino in two flashes**](https://sandboxphysics.com/stories/neutrinos/reactor-first-detection/)
6. [Article **Why did physicists need a second kind of neutrino?**](https://sandboxphysics.com/stories/neutrinos/brookhaven-muon-neutrino/)
7. [You are here **Super-Kamiokande: the neutrinos that took the long way**](https://sandboxphysics.com/stories/neutrinos/super-k-zenith-angle/)
8. [Article **2015: how did two very different experiments establish flavor change?**](https://sandboxphysics.com/stories/neutrinos/nobel-2015-two-neutrino-evidence-paths/)
9. [Article **SN 1987A: a supernova seen from underground**](https://sandboxphysics.com/stories/neutrinos/sn1987a-burst/)
10. [Article **1930–2026: a timeline of neutrino evidence**](https://sandboxphysics.com/stories/neutrinos/neutrino-evidence-timeline-1930-2026/)
