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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The case of large x 0<br />
. The created <<strong>strong</strong>>Positron</<strong>strong</strong>>ium has a quasi<br />
momentum of the order of 2m 0<br />
, moreover, a typical pulsar<br />
magnetic <strong>field</strong> b ≤ 0.1 giv<<strong>strong</strong>>in</<strong>strong</strong>>g the limit of large x 0<br />
. In such a<br />
case the effective potential V 00<br />
(z) takes on the analytical form:<br />
1<br />
V00<br />
( u = mα<br />
z)<br />
=−<br />
2 2<br />
( x mα)<br />
+ u<br />
0 0<br />
Ground states of <<strong>strong</strong>>Positron</<strong>strong</strong>>ium <<strong>strong</strong>>in</<strong>strong</strong>> <strong>strong</strong> magnetic <strong>field</strong> as a<br />
function of b, calculated from the Schröd<<strong>strong</strong>>in</<strong>strong</strong>>ger-like equation<br />
<<strong>strong</strong>>in</<strong>strong</strong>> the case of large x 0<br />
.<br />
Magnetic <strong>field</strong><br />
<<strong>strong</strong>>in</<strong>strong</strong>> b unit<br />
Bound<<strong>strong</strong>>in</<strong>strong</strong>>g energy E b<br />
(eV)<br />
0 (vacuum) 6.80<br />
0.0073 9.13<br />
0.073 51.9<br />
0.73 197.2<br />
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