The multiphoton cross sections verse the number of exchanged photons (l) in the laser-assisted processes of electron scattering with impact energy of
T
i
=
0.1
mc
2
=
0.0511
MeV
. The scattering angels are
θ
=
1
°
for (a) Mott scattering, (b) electron–proton scattering, and (c) e–
μ
+
scattering. The laser field is linearly polarized along the incident direction of the electron, the field intensity is
ε
0
=
0.1
=
5.14
×
10
8
V
·
cm
−
1
, and the photon energy
ℏ
ω
=
1.17
eV
.
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