Positron annihilation in a strong magentic field.
Positron annihilation in a strong magentic field.
Positron annihilation in a strong magentic field.
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Total cross section for<br />
s<<strong>strong</strong>>in</<strong>strong</strong>>gle photon <<strong>strong</strong>>annihilation</<strong>strong</strong>>.<br />
1e+5<br />
1e+4<br />
1e+3<br />
σ<br />
1γ<br />
2 2<br />
αλ m 0 1 ⎡ 2⎛<br />
0<br />
exp<br />
E ⎞<br />
= C ⎢− ⎜ ⎟<br />
2 2 2<br />
E b b m<br />
0<br />
− m0E<br />
⎢<br />
0 ⎣ ⎝ 0 ⎠<br />
2<br />
⎤<br />
⎥<br />
⎥<br />
⎦<br />
(n=0, lowest Landau level)<br />
E 0<br />
is the total energy of e +<br />
σ 1γ<br />
(b) (barn)<br />
1e+2<br />
1e+1<br />
1e+0<br />
1e-1<br />
1e-2<br />
1e-3<br />
⎛ E<br />
2⎜<br />
⎝mc<br />
0<br />
2<br />
0<br />
⎞<br />
⎟<br />
⎠<br />
2<br />
λ C<br />
= ×<br />
−12<br />
2.426 10 m<br />
is the Compton wavelenght<br />
1e-4<br />
1e-5<br />
1e-6<br />
E<br />
= 3m c<br />
0 0<br />
2<br />
1e-7<br />
0.1 1 10 100 1000<br />
b magnetic <strong>field</strong> (<<strong>strong</strong>>in</<strong>strong</strong>> B 0<br />
)<br />
Wunner PRL 42 (1979) 82.<br />
15/37
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