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Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential

2016/08/31 by Mansoureh Hosseinpour, Fabiano M. Andrade, Edilberto O. Silva +1 · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1140/epjc/s10052-017-4834-5

published as Eur. Phys. J. C 77, 270 (2017) · 6 pages, no figures, v2: some parts of the text were rewritten, matches published version

arxiv created 2017/04/28 · arxiv updated 2017/05/01

Abstract

In this work we study the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string. Using an approximation for the centrifugal term, a solution for the radial differential equation is obtained. We consider the scattering states under the Hulthén potential and obtain the phase shifts. From the poles of the scattering S-matrix the states energies are determined as well.

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