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arXiv · 1910.00997

Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states

Francisco A. Cruz Neto·Franciele M. da Silva·Luis C. N. Santos·Luis B. Castro
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Abstract

The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal $A^{\mu}$ and nonminimal $X^{\mu}$) and scalar ($V_{s}$) 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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Francisco A. Cruz Neto, Franciele M. da Silva, Luis C. N. Santos, Luis B. Castro. 2019-10-02. Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states. https://doi.org/10.1140/epjp/s13360-019-00062-7

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