2 research outputs found
Scalar Pair Production in the Aharonov-Bohm Potential
In the framework of QED, scalar pair production by a single linearly
polarized high-energy photon in the presence of an external Aharonov-Bohm
potential is investigated. The exact scattering solutions of the Klein-Gordon
equation in cylindrically symmetric field are constructed and used to write the
first order transition amplitude. The matrix elements and the corresponding
differential scattering cross-section are calculated. The pair production at
both the nonrelativistic and the ultrarelativistic limits is discussed.Comment: 13 pages, 1 figur
Perturbative Study of Bremsstrahlung and Pair-Production by Spin-1/2 Particles in the Aharonov-Bohm Potential
In the presence of an external Aharonov-Bohm potential, we investigate the
two QED processes of the emission of a bremsstrahlung photon by an electron,
and the production of an electron-positron pair by a single photon.
Calculations are carried out using the Born approximation within the framework
of covariant perturbation theory to lowest non-vanishing order in \alpha. The
matrix element for each process is derived, and the corresponding differential
cross-section is calculated. In the non-relativistic limit, the resulting
angular and spectral distributions and some polarization properties are
considered, and compared to results of previous works.Comment: 15 pages, RevTex 4, 2 figures, submitted for publicatio