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X (charge)

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Quantum number associated with certain grand unification theories
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(September 2025)
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Inparticle physics, theX charge (or simplyX) is aconservedquantum number associated with theSO(10)grand unification theory. It is thought to be conserved instrong,weak,electromagnetic,gravitational, andHiggs interactions. Because the X charge is related to theweak hypercharge, it varies depending on thehelicity of a particle. For example, a left-handedquark has an X charge of +1, whereas a right-handed quark can have either an X charge of −1 (for up, charm and top quarks), or −3 (for down, strange and bottom quarks).

X is related to the difference between thebaryon numberB and thelepton numberL (that is,BL), and the weak hyperchargeYW via the relation:[1]X=5(BL)2YW.{\displaystyle X=5(B-L)-2\,Y_{\text{W}}.}

X charge in proton decay

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Proton decay is a hypothetical form ofradioactive decay, predicted by manygrand unification theories. During proton decay, the common baryonicproton decays into lighter subatomic particles. However, proton decay has never been experimentally observed and is predicted to be mediated by hypotheticalX and Y bosons. Manyprotonic decay modes have been predicted, one of which is shown below:p+e++π0{\displaystyle \mathrm {p} ^{+}\longrightarrow \mathrm {e} ^{+}+\pi ^{0}}

This form of decay violates the conservation of bothbaryon number andlepton number, however the X charge is conserved. Similarly, all experimentally confirmed forms of decay also conserve the X charge value.

Values of X charge for known elementary particles

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The following table lists the X charge values for theStandard Modelfermions and theirantiparticles. Note that the CP conjugate of a fermion has the opposite X charge (e.g.e
L
vs.e
R
,X = −3 vs. +3).

Particle nameSymbolLeft-handed
X charge
Right-handed
X charge
Up quarku+1−1
Charm quarkc+1−1
Top quarkt+1−1
Down quarkd+1+3
Strange quarks+1+3
Bottom quarkb+1+3
Electrone
−3−1
Muonμ
−3−1
Tauonτ
−3−1
Electron neutrinoν
e
−3−5
Muon neutrinoν
μ
−3−5
Tau neutrinoν
τ
−3−5
Up antiquarku+1−1
Charm antiquarkc+1−1
Top antiquarkt+1−1
Down antiquarkd−3−1
Strange antiquarks−3−1
Bottom antiquarkb−3−1
Positrone+
+1+3
Antimuonμ+
+1+3
Antitauτ+
+1+3
Electron antineutrinoν
e
+5+3
Muon antineutrinoν
μ
+5+3
Tau antineutrinoν
τ
+5+3

The next table gives the X charge of the Standard Model bosons.

Particle nameSymbolX-charge
Photonγ0
W bosonW0
Z bosonZ0
Gluong0
Higgs bosonH0
−2

Although not part of the Standard Model, the GUTX and Y bosons also have zero X charge.

See also

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References

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  1. ^A. Hebecker; J. Hisano (2017)."16. Grand Unified Theories"(pdf).Review of Particle Physics. Retrieved16 September 2025.
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