Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-10-08
Phys.Part.Nucl. 29 (1998) 469-495; Fiz.Elem.Chast.Atom.Yadra 29 (1998) 1133-1193
Physics
High Energy Physics
High Energy Physics - Phenomenology
review, 50 pages, 6 figures
Scientific paper
The review of developed by the authors new techniques for covariant calculation of matrix elements in QED, the so-called formalism of "Diagonal Spin Basis" (DSB), is presented. In DSB spin 4-vectors of in- and out- fermions are expressed just in terms of their 4-momenta. In this approach the little Lorentz group, common for the initial and final states,is realized. This brings the spin operators of in- and out-particles to coincidence. The developed approach is valid both for massive fermions and for massless ones. There occur no problems with accounting for spin flip amplitudes in it. Just 4-momenta of particles participating in reactions are required in it to construct the mathematical apparatus for calculations of matrix elements. We apply this formalism to the next processes: 1) M\"oller and Bhabha bremsstrahlung ($e^{\pm}e^- \to e^{\pm}e^- \gamma$) in the ultrarelativistic limit when initial particles and photon are helicity polarized; 2) Compton back-scattering of photons of intensive circularly polarized laser wave on a beam of longitudinally polarized ultrarelativistic electrons ($e+n\gamma_0 \to e+\gamma $); 3) $e^+e^-$-pair production by a hard photon in simultaneous collision with several laser beam photons ($\gamma+n \gamma_0 \to e^+ + e^-$); 4) Bethe-Heitler process in the case of a linearly polarized photon emission by an electron with account for proton recoil and form factors; 5) the reaction $ep \to ep \gamma$ with proton polarizability being taken into account in the kinematics when proton bremsstrahlung dominates; 6) orthopositronium 3-photon annihilation ($e^+e^{-} \to 3 \gamma$).
Galynsky Vladimir M.
Sikach Sergey M.
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