2000
DOI: 10.1051/aas:2000102
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Polarization for pair annihilation in strong magnetic fields

Abstract: Abstract. We derive the cross-section for one-quantum annihilation of polarized electrons and positrons. The electron and positron can occupy arbitrary Landau levels and have non-zero momentum parallel to the field, and the cross-section is calculated for any polarization of the radiation. When we take zero parallel momentum for the electron and sum over photon polarization we obtain results which agree with the existing calculation of Wunner et al. (1986).

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Cited by 6 publications
(7 citation statements)
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“…This was made possible by using the proper spin eigenfunctions for e − and e + in a strong magnetic field, as defined by Sokolov & Ternov (1983). Polarized pair annihilation rates have presented in Semionova & Leahy (2000), and polarized photon emission rates in Semionova & Leahy (1999). With the polarized pair creation attentuation coefficients presented here, one is one step closer to being able to properly study the polarizedphoton/ spin-polarized-e − −e + radiation transfer problem in strong magnetic fields.…”
Section: Discussionmentioning
confidence: 81%
“…This was made possible by using the proper spin eigenfunctions for e − and e + in a strong magnetic field, as defined by Sokolov & Ternov (1983). Polarized pair annihilation rates have presented in Semionova & Leahy (2000), and polarized photon emission rates in Semionova & Leahy (1999). With the polarized pair creation attentuation coefficients presented here, one is one step closer to being able to properly study the polarizedphoton/ spin-polarized-e − −e + radiation transfer problem in strong magnetic fields.…”
Section: Discussionmentioning
confidence: 81%
“…However, the effectiveness of synchrotron cooling may keep the densities of excited states low enough relative to the ground state to cancel the increase in the annihilation rate. The one-photon annihilation rate for different photon polarizations and particle spin states has been derived by Wunner et al (1986) and Semionova & Leahy (2000).…”
Section: Pair Production and Annihilationmentioning
confidence: 99%
“…where the quantities N (1,2) can be found for example in [3] and [7]. It is worth stressing here that N (1,2) depend on photon polarizations r 1 and r 2 .…”
Section: Theorymentioning
confidence: 95%
“…The exact form of the solutions can be found e.g. in [7]. Here we only stress that the components of the bispinors contain oscillator wave functions for n-th Landau level, for which the energy equals E n = m 2 0 + p 2 + 2n/λ 2 (we have dened λ ≡ (m 0 √ b) −1 and b ≡ B/B 0 ).…”
Section: Theorymentioning
confidence: 99%
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