Mathematical Principles of Theoretical Physics

(Rick Simeone) #1

266 CHAPTER 5. ELEMENTARY PARTICLES


5.1.4 Conservation laws


Conservative Quantities Strong Electromagnetic Weak
EnergyE Yes Yes Yes
MomentumP Yes Yes Yes
Angular MomentumJ Yes Yes Yes
Electric chargeQe Yes Yes Yes
Lepton NumbersLe,Lμ,Lτ Yes Yes Yes
Baryon NumberB Yes Yes Yes
Strange NumberS Yes Yes No
Parityπ Yes Yes No
Isospin I Yes No No
I 3 Yes Yes No
GParityG Yes No No
Charge ConjugationC Yes Yes No
Time ReversalT Yes Yes No
CP Yes Yes No
CPT Yes Yes Yes

Table 5.2: Leptons (spinJ=^12 ).

Leptons m Qe Qw Le Lμ Lτ τ
e− 0.51 -1 3 1 0 0 ∞
e+ 0.51 1 3 -1 0 0
μ− 105.7 -1 3 0 1 0 2. 2 × 10 −^6
μ+ 105.7 1 3 0 -1 0
τ− 1777 -1 3 0 0 1 2. 9 × 10 −^13
τ+ 1777 1 3 0 0 -1
ν+ 0 0 1 1 0 0 ∞
νe 0 0 1 -1 0 0 ∞
νμ 0 0 1 0 1 0 ∞
νμ 0 0 1 0 -1 0 ∞
ντ 0 0 1 0 0 1 ∞
ντ 0 0 1 0 0 -1 ∞

Table 5.3: Quarks (spinJ=^12 )

Quarks m Qe Qs Qw B I I 3 S Y
d 7 − 1 / 3 1 3 1 / 3 1 / 2 − 1 / 2 0 1 / 3
u 3 2 / 3 1 3 1 / 3 1 / 2 1 / 2 0 1 / 3
s 120 − 1 / 3 1 3 1 / 3 0 0 -1 − 2 / 3
c 1200 2 / 3 1 3 1 / 3 1 / 2 1 / 2 0 1 / 3
b 4300 − 1 / 3 1 3 1 / 3 1 / 2 − 1 / 2 0 1 / 3
t 174000 2 / 3 1 3 1 / 3 0 0 1 4 / 3
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