Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states
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The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal Aμ and nonminimal Xμ) and scalar (Vs) interactions embedded in the background of a cosmic string is explored in the context of the Klein–Gordon equation. Considering Coulomb interactions, the effects of this topological defect in equation of motion, phase shift and S-matrix are analyzed and discussed. Bound-state solutions are obtained from poles of the S-matrix and it is shown that bound-state solutions are possible only for a restrict range of coupling constants.
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European Physical Journal Plus, v. 135, n. 1, 2020.
