Mathematical Principles of Theoretical Physics

(Rick Simeone) #1

5.4. MECHANISMS OF SUBATOMIC DECAYS AND ELECTRON RADIATIONS 309


There are three exchange processes in (5.4.32):


(5.4.33) gk+γ+γ 0 →u+u,


(5.4.34) s+γ→d+γ 0 (i.e.uds+γ→udd+γ 0 ),


(5.4.35) udd(n)+uu→uud(p)+ud(π−).


The process (5.4.33) was described by (5.4.21), the quark exchange process (5.4.35) is clear,
and (5.4.34) is the conversion fromsquark todquark, described by


(5.4.36) w∗w 1 w 2 ↑(s)+w 1 w 1 ⇈(γ)→w∗w 1 w 2 ⇈↓(d)+w 1 w 1 ↓↑(γ 0 ).


Namely, (5.4.36) is an exchange of twow 1 with reversed spins.


5.4.5 Electron structure


The weakton constituents of an electron areνew 1 w 2 , which rotate as shown in Figure5.9.
Noting the electric charges and weak charges ofνe,w 1 ,w 2 are given by


electric charge: Qνe= 0 , Qwe^1 =−

1


3


, Qwe^2 =−

2


3


,


weak charge: Qνw= 1 , Qww^1 = 1 , Qww^2 = 1 ,

we see that the distribution of weaktonsνe,w 1 ,w 2 in an electron is in an irregular triangle
due to the asymmetric forces on the weaktons by the electromagnetic and weak interactions,
as shown in Figure5.14.


ρ 1
ρ 2

νe
w 1

w 2

attracting band of weak force
of a naked electron e=νew 1 w 2

5.4.5 Electron structure.


In addition, the weak force formula between the naked electron and massless mediators
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