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

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.

arXiv comment6 pages, no figures, v2: some parts of the text were rewritten, matches published version

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• The Dirac oscillator in a spinning cosmic string spacetime
• Bound state solutions of the generalized shifted Hulthen potential
• Exact and approximate bound state solutions of the Schrödinger equation with a class of Kratzer-type potentials in the global monopole spacetime
• Relativistic quantum dynamics of spin-0 massive charged particle in the presence of external fields in 4D curved space-time with a cosmic string
• Scalar bosons with Coulomb potentials in a cosmic string background: Scattering and bound states
• Klein-Gordon oscillator in the presence of external fields in a cosmic space-time with a spacelike dislocation and Aharonov-Bohm effect
• Non-inertial effects on a non-relativistic quantum harmonic oscillator in the presence of a screw dislocation
• On the Klein-Gordon bosonic fields in the Bonnor-Melvin spacetime with a cosmological constant in rainbow gravity: Bonnor-Melvin Domain Walls
• Quantum influence of topological defects on a relativistic scalar particle with Cornell-type potential in cosmic string space-time with a spacelike dislocation
• Bound and Scattering States in a Spacetime with Dual Topological Defects: Cosmic String and Global Monopole
• Generalized Duffin-Kemmer-Petiau oscillator under Aharonov-Bohm flux in topological defects backgrounds
• On the Klein-Gordon scalar field oscillators in a spacetime with spiral-like dislocations in external magnetic fields
• Cornell and Coulomb potentials in the double defect spacetime