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Lepton number

Physical terms
In particle physics, the number of leptons is a conserved quantum number, representing the number of leptons in a basic particle reaction minus the number of anti leptons (the number of leptons is expressed in L, and for all leptons, L=+1; for all anti leptons, L=- 1; for particles other than leptons, L=0). [1]
Chinese name
Lepton number
Foreign name
Lepton number
Role
Characterize the equilibrium of basic particle reaction
Characterization
To represent leptons
Represent
Expressed in L
Field
Nuclear physics

Related concepts

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Leptons and quarks
Experimental and theoretical studies on the basic components of matter and their interactions have revealed many mysteries of the particle physics world. As we have known, there are two families of basic bricks that constitute all substances: leptons and quark They are all Fem particles. The interaction between quarks and leptons is transmitted by the gauge Bose particles, photon transmit Electromagnetic force Gluon transmit Strong W And Z transfer weak force [2]
Lepton family
There are six kinds of particles in the lepton family.
There are six kinds of particles in the lepton family taste , they have the following two important properties:
(1) Leptons do not participate Strong The interaction of Electromagnetic force and weak force Impact of;
(2) The conservation of lepton number means that leptons can only particle Antiparticle The total number of leptons (the number of leptons minus the number of anti leptons) remains unchanged in all known physical processes.
Six known leptons with different flavors appear in pairs, each pair includes a charged lepton and a lepton called neutrino Neutral lepton. [2]

Lepton number

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Experiments show that the lepton number is conserved in the interaction. For example, the total number of leptons before reaction is+1, and the total number of leptons of particles generated after reaction is also+1. Different types of leptons, such as e-lepton (electron, V e Lepton number and muon (muon, V μ The lepton number of () is also separately conserved in the experiment.
Le , electronic and Electron neutrino Lepton number;
, muon and muon neutrino lepton number;
L
Suband
The number of leptons in a neutrino. [1]
An additivity for describing the internal properties of particles quantum Number. It is recorded as L, and there are three electric lepton numbers Le, μ lepton number L μ and τ lepton number L τ. Le of electron e - and electron neutrino γ e is+1, and their Antiparticle Le of e+sum is - 1, and Le of other particles is 0; L μ=+1 for μ - and γ μ, L μ=- 1 for their antiparticle μ+and γ e, and L μ=0 for other particles; τ particle number L of τ - and γ τ
=+1. Their antiparticles
+L of and γ e
=- 1, L of other particles
=0。 Strong, electromagnetic and weak interactions involving leptons, Particle reaction Or in the process of decay, each lepton number is conserved. Lepton number Conservation forbids some processes that seem to happen. E.g. μ ± →e ± +The gamma process does not occur. [2]

Experimental findings

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In 1962, two kinds of neutrino V were found experimentally e And V μ They are associated with electron and muon respectively, so the conservation of lepton number is decomposed into Number of electrons (e - and V e Number of particles minus e+and V e Number of particles) and number of muons (μ - and V μ number of particles minus μ+and V μ Number of particles) are respectively conserved. 1975 M Pell In the e+e - collision experiment, a new lepton τ was found, which is negatively or positively charged, decay Into muons or electrons and two neutrinos. Its mass is 1776.99 MEV, nearly twice the mass of the proton, so it is also called Heavy lepton In 2000, neutrino V corresponding to τ particles was found experimentally
Similarly, the number of τ leptons is also conserved in all processes involving leptons. except
In addition to particles, the first two types of leptons (e, V e And μ, V μ )The properties of have been fully studied, and their properties are very similar, only the quality is very different, which explains this phenomenon Particle physics An important subject to be solved in theory. [3]

Conservation of lepton number

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All leptons involved Weak interaction and Electromagnetic interaction In the process, it is found that there is a conservative Quantum number , called Lepton number Electron e -, μ - and
- The lepton number of the particle is+1, the lepton number of the corresponding antiparticle is - 1, and the lepton number of other non lepton particles is 0. For all reaction processes, the algebraic sum of the lepton number remains unchanged before and after the reaction, and the electron lepton number, muon lepton number and
The number of leptons remains unchanged. And Charge conservation Different, the conservation of charge is related to the electromagnetic interaction, while the conservation of lepton number is not based on the known interaction, but it is found experimentally that it is always conservation. [3]
give an example
meson Decay. Like many lepton interactions, the decay of muons is a Weak interaction This is a reference to the use of Special relativity test Time dilation effect Example of. [1]
μ−
e−
+
Ve
+
L:
one
=
one
one
+
one
L e  :
zero
=
one
one
+
zero
L μ  :
one
=
zero
+
zero
+
one