306 CHAPTER 5. ELEMENTARY PARTICLES
w 1 w 2
νμ
w 1 w 2
νe
w 1 w 2
νe
νe
νμ
νμ
e−
μ−
Figure 5.12:e-μscattering.
They are rewritten in the weakton constituent forms as
(5.4.21) w∗w∗⇈(gk)+w 1 w 1 ↓↑(γ 0 )+w 1 w(γ)
→w∗w 1 w 1 ↑↓↑(u)+w∗w 1 w 1 ↑(u),
(5.4.22) w∗w∗↑↓(gk 0 )+w 1 w 1 ↑↓(γ 0 )+w 2 w 2 ↓↑(γ 0 )
→w∗w∗↑↓(gk 0 )+w 1 w 2 ↑↓(H−)+w 1 w 2 ↓↑(H+)
→w∗w 1 w 2 ⇈↓(d)+w∗w 1 w 2 ↑(d).
In (5.4.21),w∗andw∗in a gluon are captured by a scalar photonγ 0 and a photonγto create
a pairuandu. In (5.4.21),w 1 andw 2 in the two scalar photonsγ 0 are exchanged to form a
pair of charged HiggsH+andH−, thenH+andH−capturew∗andw∗respectively to create
a pair ofdandd.
4.Lepton decays.The lepton decays
μ−+ν→e−+νe+νμ,
τ−+ν→μ−+νμ+ντ,
are rewritten in the weakton constituents as
(5.4.23)
νμw 1 w 2 +νeνe → νew 1 w 2 +νe+νμ,
ντw 1 w 2 +νμνμ → νμw 1 w 2 +νμ+ντ.
Here the neutrino exchanges form leptons in the lower energystates and a pair of neutrino
and antineutrino with different lepton numbers. By the exclusive ruleLiLj= 0 (i 6 =j), the
generated neutrino and antineutino cannot be combined together, and are separated by the
weak interaction repelling force.
Strong types
1.∆++-decay.Consider the following decay
∆++→p+π+.
The complete decay process should be
(5.4.24)
∆+++gk 0 + 2 γ 0 →p+π+,
∆+++gk+ 2 γ→p+π+.