https://doi.org/10.1140/epjp/s13360-019-00062-7
Regular Article
Scalar bosons with Coulomb potentials in a cosmic string background: scattering and bound states
1
Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, São Luís, MA, 65080-805, Brazil
2
Departamento de Física, CFM, Universidade Federal de Santa Catarina (UFSC), Florianópolis, SC, 88040-900, Brazil
3
Departamento de Física, CCEN, Universidade Federal da Paraíba (UFPB), João Pessoa, PB, 58051-970, Brazil
4
Departamento de Física e Química, Universidade Estadual Paulista (UNESP), Campus de Guaratinguetá, Guaratinguetá, SP, 12516-410, Brazil
* e-mail: lrb.castro@ufma.br
** e-mail: luis.castro@pq.cnpq.br
Received:
10
September
2019
Accepted:
4
October
2019
Published online:
8
January
2020
The relativistic quantum motion of scalar bosons under the influence of a full vector (minimal 
and nonminimal 
) and scalar (
) 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.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
