Scalar Pair Production in the Aharonov-Bohm Potential
G. Y. Shahin, M. S. Shikakhwa
TL;DR
This paper investigates scalar pair production by high-energy photons in an Aharonov-Bohm potential within QED, deriving exact solutions and analyzing the process across different energy regimes.
Contribution
It provides the first exact solutions of the Klein-Gordon equation in this context and calculates the transition amplitude and cross-section for the process.
Findings
Derived exact scattering solutions in cylindrically symmetric Aharonov-Bohm field.
Calculated differential scattering cross-section for scalar pair production.
Analyzed pair production in both nonrelativistic and ultrarelativistic limits.
Abstract
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.
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