High energy scattering of Dirac particles on smooth potentials
Nguyen Suan Han, Le Anh Dung, Nguyen Nhu Xuan, Vu Toan Thang
TL;DR
This paper derives a Glauber-type representation for high-energy scattering amplitudes of spin-1/2 particles using the Dirac equation in the FW representation, analyzing cross sections for Yukawa and Gaussian potentials.
Contribution
It introduces a new derivation of the Glauber representation within the Dirac framework and discusses specific potential cases.
Findings
Derived Glauber-type scattering amplitude for Dirac particles.
Analyzed differential cross sections for Yukawa and Gaussian potentials.
Provided insights into high-energy scattering processes for spin-1/2 particles.
Abstract
The derivation of the Glauber type representation for the high energy scattering amplitude of particles of spin 1/2 is given within the framework of the Dirac equation in the Foldy Wouthuysen (FW) representation and two-component formalism. The differential cross sections on the Yukawa and Gaussian potentials are also considered and discussed.
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