Regular Article - Theoretical Physics

Scattering and bound states for the Hulthén potential in a cosmic string background

¹ Physics Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran
² Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
³ Departamento de Física, Universidade Federal do Maranhão, 65085-580, São Luís, MA, Brazil

^* e-mail: fmandrade@uepg.br

Received: 20 January 2017
Accepted: 15 April 2017
Published online: 28 April 2017

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.