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Positron Tunnelling through the Coulomb Barrier of Superheavy Nuclei

Norman Dombey, Richard L. Hall

nucl-tharXiv:nucl-th/9912076

Abstract

We study beams of medium-energy electrons and positrons which obey the Dirac equation and scatter from nuclei with Z > 100. At small distances the potential is modelled to be that of a charged sphere. A large peak is found in the probability of positron penetration to the origin for Z ≈ 184. This may be understood as an example of Klein tunnelling through the Coulomb barrier: it is the analogue of the Klein Paradox for the Coulomb potential.

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