object

lepton

A lepton is a fundamental particle, such as an electron or muon, that does not experience the strong nuclear force.
14 related articles · 1 formulas · 2 who worked here

Description

Leptons are tiny building blocks of matter that do not feel the strong nuclear force. The most familiar is the electron, which runs around the nucleus in atoms. There are also elusive neutrinos, which fly through the Earth almost without noticing it.

History

J.J. Thomson identified the electron as a particle in 1897 by measuring its e/m ratio. The muon was discovered in 1936 in cosmic rays and was first confused with Yukawa's meson. The tau lepton was detected by Martin Perl's group in 1975. The existence of neutrinos was postulated by Wolfgang Pauli in 1930 to save the energy conservation law in beta decay; neutrinos were first captured by Reines and Cowan in 1956.

How it works

Leptons interact through the weak interaction (exchange of W±, Z bosons), and charged ones also electromagnetically (photon). The Dirac equation describes free charged leptons. Neutrino oscillations require nonzero mass and mixing, described by the Pontecorvo-Maki-Nakagawa-Sakata matrix. Charged leptons are stable (electron) or decay via the weak interaction (muon, tau). The Pauli principle forbids two identical leptons from occupying the same quantum state, which determines the structure of atoms and neutron stars.

Fun fact

About 10¹¹ neutrinos from the Sun pass through your fingernail every day, but you feel nothing — so ghostly are leptons.

Concept graph →

Formulas

$$L = \int \frac{d^3 p}{(2\pi)^3} (f_{\nu} - f_{\bar{\nu}})$$
Net lepton number from neutrino distributions.
What is in the formula
LvariableNet lepton number density — lepton number density metre per cubed metre
pvariableMomentum vector — momentum kilogram metre per second
f_νvariableNeutrino distribution function — distribution function
f_ν̄variableAntineutrino distribution function — distribution function
∫operatorIntegration over momentum space — integral
d^3poperatorInfinitesimal momentum space volume — volume element in momentum space
g(v)=\sqrt{2}g_f\int\frac{d^3p}{(2π)^3}(f_{ν_e}-f_{\bar{ν}_e}) · 2607.12558

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