phenomenon

neutrino flavor oscillations

Neutrinos change between electron, muon, and tau flavors during propagation.
16 related articles · 1 formulas

Description

Neutrino flavor oscillations are the quantum mechanical phenomenon where neutrinos switch between their three types—electron, muon, and tau—as they travel through space. This happens because the neutrino's mass states are not the same as its flavor states, leading to a quantum interference pattern. The effect explains why detectors on Earth see fewer solar neutrinos than expected: many have changed flavor by the time they arrive.

History

The idea was proposed by Bruno Pontecorvo in 1957, inspired by kaon oscillations. The solar neutrino problem, first observed in the 1960s, was definitively explained by oscillations in the early 2000s with the Sudbury Neutrino Observatory.

How it works

A neutrino is born in a weak interaction with a definite flavor, but this is a superposition of three mass states. As it propagates, each mass state acquires a slightly different phase, and the interference between them causes the flavor composition to oscillate. The probability of finding a given flavor depends on the distance traveled, the neutrino energy, and the mixing angles between mass and flavor states. In dense matter, like inside the Sun or a supernova, the oscillation pattern is modified by interactions with electrons—the MSW effect.

In practice

Neutrino oscillations are used to probe the interior of the Sun, study supernova dynamics, and search for differences between neutrinos and antineutrinos that might explain the matter-antimatter asymmetry of the universe.

Fun fact

Neutrinos can change flavor even in a vacuum, but passing through Earth's dense core can 'resonate' the oscillation, dramatically increasing the chance of a flavor change—a phenomenon exploited by long-baseline experiments.

Concept graph →

Formulas

$$P(\bar{\nu}_e \rightarrow \bar{\nu}_e) = 1 - \sin^2(2\theta_{12}) \sin^2\left(\frac{\Delta m_{12}^2 L}{4E}\right)$$
Neutrinos change flavor with distance due to quantum mixing.
What is in the formula
PvariableSurvival probability of electron antineutrinos — probability
\theta_{12}variableSolar mixing angle — mixing angle
\Delta m_{12}^2variableMass-squared difference between mass eigenstates 1 and 2 — mass squared difference electronvolt squared
LvariableDistance traveled by the neutrino — distance metre
EvariableNeutrino energy — energy joule
\sin^2operatorSquare of the sine function — sine squared
f_{\bar{ν}_e}^{{no}}=\cos^2θ_{12}f^0_{\bar{ν}_e}+\sin^2θ_{12}f^0_{ν_x} · 2606.06580v1

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